Genetic Theory For Cubic Graphs

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Genetic Theory for Cubic Graphs

Author : Pouya Baniasadi
Publisher : Springer
ISBN 13 : 3319196804
Total Pages : 118 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Genetic Theory for Cubic Graphs by : Pouya Baniasadi

Download or read book Genetic Theory for Cubic Graphs written by Pouya Baniasadi and published by Springer. This book was released on 2015-07-15 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book was motivated by the notion that some of the underlying difficulty in challenging instances of graph-based problems (e.g., the Traveling Salesman Problem) may be “inherited” from simpler graphs which – in an appropriate sense – could be seen as “ancestors” of the given graph instance. The authors propose a partitioning of the set of unlabeled, connected cubic graphs into two disjoint subsets named genes and descendants, where the cardinality of the descendants dominates that of the genes. The key distinction between the two subsets is the presence of special edge cut sets, called cubic crackers, in the descendants. The book begins by proving that any given descendant may be constructed by starting from a finite set of genes and introducing the required cubic crackers through the use of six special operations, called breeding operations. It shows that each breeding operation is invertible, and these inverse operations are examined. It is therefore possible, for any given descendant, to identify a family of genes that could be used to generate the descendant. The authors refer to such a family of genes as a “complete family of ancestor genes” for that particular descendant. The book proves the fundamental, although quite unexpected, result that any given descendant has exactly one complete family of ancestor genes. This result indicates that the particular combination of breeding operations used strikes the right balance between ensuring that every descendant may be constructed while permitting only one generating set. The result that any descendant can be constructed from a unique set of ancestor genes indicates that most of the structure in the descendant has been, in some way, inherited from that, very special, complete family of ancestor genes, with the remaining structure induced by the breeding operations. After establishing this, the authors proceed to investigate a number of graph theoretic properties: Hamiltonicity, bipartiteness, and planarity, and prove results linking properties of the descendant to those of the ancestor genes. They develop necessary (and in some cases, sufficient) conditions for a descendant to contain a property in terms of the properties of its ancestor genes. These results motivate the development of parallelizable heuristics that first decompose a graph into ancestor genes, and then consider the genes individually. In particular, they provide such a heuristic for the Hamiltonian cycle problem. Additionally, a framework for constructing graphs with desired properties is developed, which shows how many (known) graphs that constitute counterexamples of conjectures could be easily found.

Hamiltonian Cycle Problem and Markov Chains

Author : Vivek S. Borkar
Publisher : Springer Science & Business Media
ISBN 13 : 1461432324
Total Pages : 205 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Hamiltonian Cycle Problem and Markov Chains by : Vivek S. Borkar

Download or read book Hamiltonian Cycle Problem and Markov Chains written by Vivek S. Borkar and published by Springer Science & Business Media. This book was released on 2012-04-23 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research monograph summarizes a line of research that maps certain classical problems of discrete mathematics and operations research - such as the Hamiltonian Cycle and the Travelling Salesman Problems - into convex domains where continuum analysis can be carried out. Arguably, the inherent difficulty of these, now classical, problems stems precisely from the discrete nature of domains in which these problems are posed. The convexification of domains underpinning these results is achieved by assigning probabilistic interpretation to key elements of the original deterministic problems. In particular, the approaches summarized here build on a technique that embeds Hamiltonian Cycle and Travelling Salesman Problems in a structured singularly perturbed Markov decision process. The unifying idea is to interpret subgraphs traced out by deterministic policies (including Hamiltonian cycles, if any) as extreme points of a convex polyhedron in a space filled with randomized policies. The above innovative approach has now evolved to the point where there are many, both theoretical and algorithmic, results that exploit the nexus between graph theoretic structures and both probabilistic and algebraic entities of related Markov chains. The latter include moments of first return times, limiting frequencies of visits to nodes, or the spectra of certain matrices traditionally associated with the analysis of Markov chains. However, these results and algorithms are dispersed over many research papers appearing in journals catering to disparate audiences. As a result, the published manuscripts are often written in a very terse manner and use disparate notation, thereby making it difficult for new researchers to make use of the many reported advances. Hence the main purpose of this book is to present a concise and yet easily accessible synthesis of the majority of the theoretical and algorithmic results obtained so far. In addition, the book discusses numerous open questions and problems that arise from this body of work and which are yet to be fully solved. The approach casts the Hamiltonian Cycle Problem in a mathematical framework that permits analytical concepts and techniques, not used hitherto in this context, to be brought to bear to further clarify both the underlying difficulty of NP-completeness of this problem and the relative exceptionality of truly difficult instances. Finally, the material is arranged in such a manner that the introductory chapters require very little mathematical background and discuss instances of graphs with interesting structures that motivated a lot of the research in this topic. More difficult results are introduced later and are illustrated with numerous examples.

Genetic Programming Theory and Practice

Author : Rick Riolo
Publisher : Springer Science & Business Media
ISBN 13 : 1441989838
Total Pages : 322 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Genetic Programming Theory and Practice by : Rick Riolo

Download or read book Genetic Programming Theory and Practice written by Rick Riolo and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Genetic Programming Theory and Practice explores the emerging interaction between theory and practice in the cutting-edge, machine learning method of Genetic Programming (GP). The material contained in this contributed volume was developed from a workshop at the University of Michigan's Center for the Study of Complex Systems where an international group of genetic programming theorists and practitioners met to examine how GP theory informs practice and how GP practice impacts GP theory. The contributions cover the full spectrum of this relationship and are written by leading GP theorists from major universities, as well as active practitioners from leading industries and businesses. Chapters include such topics as John Koza's development of human-competitive electronic circuit designs; David Goldberg's application of "competent GA" methodology to GP; Jason Daida's discovery of a new set of factors underlying the dynamics of GP starting from applied research; and Stephen Freeland's essay on the lessons of biology for GP and the potential impact of GP on evolutionary theory.

Handbook of Research on Novel Soft Computing Intelligent Algorithms

Author : Pandian Vasant
Publisher : IGI Global
ISBN 13 : 1466644516
Total Pages : 1173 pages
Book Rating : 4.4/5 (666 download)

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Book Synopsis Handbook of Research on Novel Soft Computing Intelligent Algorithms by : Pandian Vasant

Download or read book Handbook of Research on Novel Soft Computing Intelligent Algorithms written by Pandian Vasant and published by IGI Global. This book was released on 2013-08-31 with total page 1173 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book explores emerging technologies and best practices designed to effectively address concerns inherent in properly optimizing advanced systems, demonstrating applications in areas such as bio-engineering, space exploration, industrial informatics, information security, and nuclear and renewable energies"--Provided by publisher.

Graphs and Genes

Author : B.G. Mirkin
Publisher : Springer
ISBN 13 : 9783642692826
Total Pages : 0 pages
Book Rating : 4.6/5 (928 download)

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Book Synopsis Graphs and Genes by : B.G. Mirkin

Download or read book Graphs and Genes written by B.G. Mirkin and published by Springer. This book was released on 2011-11-08 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is written by a mathematician and a theoretical biologist who have arrived at a good mutual understanding and a well worked-out common notation. The reader need hardly be convinced of the necessity of such a mutual understanding, not only for the two investigators, but also for the sciences they represent. Like Moliere's hero, geneticists are gradually beginning to understand that, unknowingly, they have been speaking in the language of cybernetics. Mathematicians are unexpec tedly discovering that many past and present problems and methods of genetics can be naturally formulated in the language of graph theory. In this way a powerful abstract mathematical theory suddenly finds a productive application. Moreover, in its turn, such an application be gins to "feed" the mathematical theory by presenting it with a number of new problems. The reader may judge for himself the fruitfulness of such mutual interaction. At the same time several important circumstances need to be men tioned. The formalization and rigorous formulation given here embraces not only the older problems, known by geneticists for many decades (the construction of genetic maps, the analysis of complementation, etc. ), but also comparatively new problems: the construction of partial com plementation maps, phylogenetic trees of proteins, etc.

Graphs and Genes

Author : B.G. Mirkin
Publisher : Springer
ISBN 13 : 9783642692802
Total Pages : 0 pages
Book Rating : 4.6/5 (928 download)

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Book Synopsis Graphs and Genes by : B.G. Mirkin

Download or read book Graphs and Genes written by B.G. Mirkin and published by Springer. This book was released on 1984 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is written by a mathematician and a theoretical biologist who have arrived at a good mutual understanding and a well worked-out common notation. The reader need hardly be convinced of the necessity of such a mutual understanding, not only for the two investigators, but also for the sciences they represent. Like Moliere's hero, geneticists are gradually beginning to understand that, unknowingly, they have been speaking in the language of cybernetics. Mathematicians are unexpec tedly discovering that many past and present problems and methods of genetics can be naturally formulated in the language of graph theory. In this way a powerful abstract mathematical theory suddenly finds a productive application. Moreover, in its turn, such an application be gins to "feed" the mathematical theory by presenting it with a number of new problems. The reader may judge for himself the fruitfulness of such mutual interaction. At the same time several important circumstances need to be men tioned. The formalization and rigorous formulation given here embraces not only the older problems, known by geneticists for many decades (the construction of genetic maps, the analysis of complementation, etc. ), but also comparatively new problems: the construction of partial com plementation maps, phylogenetic trees of proteins, etc.

Modern Applications of Graph Theory

Author : Vadim Zverovich
Publisher : Oxford University Press
ISBN 13 : 0192598813
Total Pages : 400 pages
Book Rating : 4.1/5 (925 download)

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Book Synopsis Modern Applications of Graph Theory by : Vadim Zverovich

Download or read book Modern Applications of Graph Theory written by Vadim Zverovich and published by Oxford University Press. This book was released on 2021-04-01 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern Applications of Graph Theory discusses many cutting-edge applications of graph theory, such as traffic networks, navigable networks and optimal routing for emergency response, placement of electric vehicle charging stations, and graph-theoretic methods in molecular epidemiology. Due to the rapid growth of research in this field, the focus of the book is on the up-to-date development of these applications and the mathematical methods used to tackle them. Ideal for researchers, engineers, transport planners and emergency response specialists who are interested in graph theory applications, Modern Applications of Graph Theory can also be used as teaching material. In addition to up-to-date descriptions of the applications, it includes extensive exercises and their solutions, mimicking practical, real-life situations. Furthermore, there is an introductory chapter, which provides an overview of basic applications and algorithms of graph theory. The book includes over 120 illustrations and tables.

Dynamic Models in Biology

Author : Stephen P. Ellner
Publisher : Princeton University Press
ISBN 13 : 0691125899
Total Pages : 353 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Dynamic Models in Biology by : Stephen P. Ellner

Download or read book Dynamic Models in Biology written by Stephen P. Ellner and published by Princeton University Press. This book was released on 2006-04-16 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: From controlling disease outbreaks to predicting heart attacks, dynamic models are increasingly crucial for understanding biological processes. Many universities are starting undergraduate programs in computational biology to introduce students to this rapidly growing field. In Dynamic Models in Biology, the first text on dynamic models specifically written for undergraduate students in the biological sciences, ecologist Stephen Ellner and mathematician John Guckenheimer teach students how to understand, build, and use dynamic models in biology. Developed from a course taught by Ellner and Guckenheimer at Cornell University, the book is organized around biological applications, with mathematics and computing developed through case studies at the molecular, cellular, and population levels. The authors cover both simple analytic models--the sort usually found in mathematical biology texts--and the complex computational models now used by both biologists and mathematicians. Linked to a Web site with computer-lab materials and exercises, Dynamic Models in Biology is a major new introduction to dynamic models for students in the biological sciences, mathematics, and engineering.

Number Theory and Combinatorics

Author : Bruce M. Landman
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110754215
Total Pages : 370 pages
Book Rating : 4.1/5 (17 download)

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Book Synopsis Number Theory and Combinatorics by : Bruce M. Landman

Download or read book Number Theory and Combinatorics written by Bruce M. Landman and published by Walter de Gruyter GmbH & Co KG. This book was released on 2022-04-19 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over a career that spanned 60 years, Ronald L. Graham (known to all as Ron) made significant contributions to the fields of discrete mathematics, number theory, Ramsey theory, computational geometry, juggling and magical mathematics, and many more. Ron also was a mentor to generations of mathematicians, he gave countless talks and helped bring mathematics to a wider audience, and he held signifi cant leadership roles in the mathematical community. This volume is dedicated to the life and memory of Ron Graham, and includes 20-articles by leading scientists across a broad range of subjects that refl ect some of the many areas in which Ron worked.

Foundations of Genetic Algorithms 1993 (FOGA 2)

Author : FOGA
Publisher : Morgan Kaufmann
ISBN 13 : 0080948324
Total Pages : 322 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Foundations of Genetic Algorithms 1993 (FOGA 2) by : FOGA

Download or read book Foundations of Genetic Algorithms 1993 (FOGA 2) written by FOGA and published by Morgan Kaufmann. This book was released on 2014-06-28 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Foundations of Genetic Algorithms, Volume 2 provides insight of theoretical work in genetic algorithms. This book provides a general understanding of a canonical genetic algorithm. Organized into six parts encompassing 19 chapters, this volume begins with an overview of genetic algorithms in the broader adaptive systems context. This text then reviews some results in mathematical genetics that use probability distributions to characterize the effects of recombination on multiple loci in the absence of selection. Other chapters examine the static building block hypothesis (SBBH), which is the underlying assumption used to define deception. This book discusses as well the effect of noise on the quality of convergence of genetic algorithms. The final chapter deals with the primary goal in machine learning and artificial intelligence, which is to dynamically and automatically decompose problems into simpler problems to facilitate their solution. This book is a valuable resource for theorists and genetic algorithm researchers.

CRC Concise Encyclopedia of Mathematics

Author : Eric W. Weisstein
Publisher : CRC Press
ISBN 13 : 1420035223
Total Pages : 3253 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis CRC Concise Encyclopedia of Mathematics by : Eric W. Weisstein

Download or read book CRC Concise Encyclopedia of Mathematics written by Eric W. Weisstein and published by CRC Press. This book was released on 2002-12-12 with total page 3253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d

Computational Characterisation of Gold Nanocluster Structures

Author : Andrew James Logsdail
Publisher : Springer Science & Business Media
ISBN 13 : 3319014935
Total Pages : 220 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Computational Characterisation of Gold Nanocluster Structures by : Andrew James Logsdail

Download or read book Computational Characterisation of Gold Nanocluster Structures written by Andrew James Logsdail and published by Springer Science & Business Media. This book was released on 2013-08-31 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis, Andrew Logsdail demonstrates that computational chemistry is a powerful tool in contemporary nanoscience, complementing experimental observations and helping guide future experiments. The aim of this particular PhD is to further our understanding of structural and compositional preferences in gold nanoparticles, as well as the compositional and chemical ordering preferences in bimetallic nanoalloys formed with other noble metals, such as palladium and platinum. Highlights include: calculations of the structural preferences and optical-response of gold nanoparticles and gold-containing nanoalloys; the design and implementation of novel numerical algorithms for the structural characterisation of gold nanoparticles from electron microscopy images; and electronic structure calculations investigating the interaction of gold nanoparticles with graphene and graphite substrates.The results presented here have significant implications for future research on the chemical and physical properties of gold-based nanoparticles and are of interest to many researchers working on experimental and theoretical aspects of nanoscience.

Traveling Salesman Problem

Author : Federico Greco
Publisher : BoD – Books on Demand
ISBN 13 : 9537619109
Total Pages : 214 pages
Book Rating : 4.5/5 (376 download)

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Book Synopsis Traveling Salesman Problem by : Federico Greco

Download or read book Traveling Salesman Problem written by Federico Greco and published by BoD – Books on Demand. This book was released on 2008-09-01 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: The idea behind TSP was conceived by Austrian mathematician Karl Menger in mid 1930s who invited the research community to consider a problem from the everyday life from a mathematical point of view. A traveling salesman has to visit exactly once each one of a list of m cities and then return to the home city. He knows the cost of traveling from any city i to any other city j. Thus, which is the tour of least possible cost the salesman can take? In this book the problem of finding algorithmic technique leading to good/optimal solutions for TSP (or for some other strictly related problems) is considered. TSP is a very attractive problem for the research community because it arises as a natural subproblem in many applications concerning the every day life. Indeed, each application, in which an optimal ordering of a number of items has to be chosen in a way that the total cost of a solution is determined by adding up the costs arising from two successively items, can be modelled as a TSP instance. Thus, studying TSP can never be considered as an abstract research with no real importance.

Catalyzing Inquiry at the Interface of Computing and Biology

Author : National Research Council
Publisher : National Academies Press
ISBN 13 : 030909612X
Total Pages : 469 pages
Book Rating : 4.3/5 (9 download)

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Book Synopsis Catalyzing Inquiry at the Interface of Computing and Biology by : National Research Council

Download or read book Catalyzing Inquiry at the Interface of Computing and Biology written by National Research Council and published by National Academies Press. This book was released on 2006-01-01 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in computer science and technology and in biology over the last several years have opened up the possibility for computing to help answer fundamental questions in biology and for biology to help with new approaches to computing. Making the most of the research opportunities at the interface of computing and biology requires the active participation of people from both fields. While past attempts have been made in this direction, circumstances today appear to be much more favorable for progress. To help take advantage of these opportunities, this study was requested of the NRC by the National Science Foundation, the Department of Defense, the National Institutes of Health, and the Department of Energy. The report provides the basis for establishing cross-disciplinary collaboration between biology and computing including an analysis of potential impediments and strategies for overcoming them. The report also presents a wealth of examples that should encourage students in the biological sciences to look for ways to enable them to be more effective users of computing in their studies.

Evolvable Hardware

Author : Tetsuya Higuchi
Publisher : Springer Science & Business Media
ISBN 13 : 0387312382
Total Pages : 227 pages
Book Rating : 4.3/5 (873 download)

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Book Synopsis Evolvable Hardware by : Tetsuya Higuchi

Download or read book Evolvable Hardware written by Tetsuya Higuchi and published by Springer Science & Business Media. This book was released on 2006-11-02 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: Evolvable hardware (EHW) refers to hardware whose architecture/structure and functions change dynamically and autonomously in order to improve its performance in carrying out tasks. The only single resource presenting both the fundamentals, and the latest advances in the field, this book teaches the basics of reconfigurable devices, why they are necessary and how they are designed.

Integer Programming and Related Areas

Author : Rabe v. Randow
Publisher : Springer Science & Business Media
ISBN 13 : 3642516548
Total Pages : 522 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Integer Programming and Related Areas by : Rabe v. Randow

Download or read book Integer Programming and Related Areas written by Rabe v. Randow and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fields of integer programming and combinatorial optimization continue to be areas of great vitality, with an ever increasing number of publications and journals appearing. A classified bibliography thus continues to be necessary and useful today, even more so than it did when the project, of which this is the fifth volume, was started in 1970 in the Institut fur Okonometrie und Operations Research of the University of Bonn. The pioneering first volume was compiled by Claus Kastning during the years 1970 - 1975 and appeared in 1976 as Volume 128 of the series Lecture Notes in Economics and Mathematical Systems published by the Springer Verlag. Work on the project was continued by Dirk Hausmann, Reinhardt Euler, and Rabe von Randow, and resulted in the publication of the second, third, and fourth volumes in 1978, 1982, and 1985 (Volumes 160, 197, and 243 of the above series). The present book constitutes the fifth volume of the bibliography and covers the period from autumn 1984 to the end of 1987. It contains 5864 new publications by 4480 authors and was compiled by Rabe von Randow. Its form is practically identical to that of the first four volumes, some additions having been made to the subject list.

Coupled Multiobjective Optimization of Crashworthiness and Modal Frequencies in Structures Using Genetic Algorithms

Author : David J. Eby
Publisher :
ISBN 13 :
Total Pages : 316 pages
Book Rating : 4.3/5 (129 download)

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Book Synopsis Coupled Multiobjective Optimization of Crashworthiness and Modal Frequencies in Structures Using Genetic Algorithms by : David J. Eby

Download or read book Coupled Multiobjective Optimization of Crashworthiness and Modal Frequencies in Structures Using Genetic Algorithms written by David J. Eby and published by . This book was released on 2000 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: