Graphs And Genes

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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.

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 : Boris Grigorʹevich Mirkin
Publisher : Springer Verlag
ISBN 13 : 9780387126579
Total Pages : 0 pages
Book Rating : 4.1/5 (265 download)

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Book Synopsis Graphs and Genes by : Boris Grigorʹevich Mirkin

Download or read book Graphs and Genes written by Boris Grigorʹevich Mirkin and published by Springer Verlag. This book was released on 1984 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.

Graphs and Genes

Author : B.G. Mirkin
Publisher : Springer
ISBN 13 :
Total Pages : 224 pages
Book Rating : 4.:/5 (25 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 224 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.

Statistical Population Genomics

Author : Julien Y Dutheil
Publisher :
ISBN 13 : 9781013271403
Total Pages : 464 pages
Book Rating : 4.2/5 (714 download)

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Book Synopsis Statistical Population Genomics by : Julien Y Dutheil

Download or read book Statistical Population Genomics written by Julien Y Dutheil and published by . This book was released on 2020-10-08 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access volume presents state-of-the-art inference methods in population genomics, focusing on data analysis based on rigorous statistical techniques. After introducing general concepts related to the biology of genomes and their evolution, the book covers state-of-the-art methods for the analysis of genomes in populations, including demography inference, population structure analysis and detection of selection, using both model-based inference and simulation procedures. Last but not least, it offers an overview of the current knowledge acquired by applying such methods to a large variety of eukaryotic organisms. Written in the highly successful Methods in Molecular Biology series format, chapters include introductions to their respective topics, pointers to the relevant literature, step-by-step, readily reproducible laboratory protocols, and tips on troubleshooting and avoiding known pitfalls. Authoritative and cutting-edge, Statistical Population Genomics aims to promote and ensure successful applications of population genomic methods to an increasing number of model systems and biological questions. This work was published by Saint Philip Street Press pursuant to a Creative Commons license permitting commercial use. All rights not granted by the work's license are retained by the author or authors.

Handbook of Graphs and Networks

Author : Stefan Bornholdt
Publisher : John Wiley & Sons
ISBN 13 : 3527606335
Total Pages : 417 pages
Book Rating : 4.5/5 (276 download)

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Book Synopsis Handbook of Graphs and Networks by : Stefan Bornholdt

Download or read book Handbook of Graphs and Networks written by Stefan Bornholdt and published by John Wiley & Sons. This book was released on 2006-03-06 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex interacting networks are observed in systems from such diverse areas as physics, biology, economics, ecology, and computer science. For example, economic or social interactions often organize themselves in complex network structures. Similar phenomena are observed in traffic flow and in communication networks as the internet. In current problems of the Biosciences, prominent examples are protein networks in the living cell, as well as molecular networks in the genome. On larger scales one finds networks of cells as in neural networks, up to the scale of organisms in ecological food webs. This book defines the field of complex interacting networks in its infancy and presents the dynamics of networks and their structure as a key concept across disciplines. The contributions present common underlying principles of network dynamics and their theoretical description and are of interest to specialists as well as to the non-specialized reader looking for an introduction to this new exciting field. Theoretical concepts include modeling networks as dynamical systems with numerical methods and new graph theoretical methods, but also focus on networks that change their topology as in morphogenesis and self-organization. The authors offer concepts to model network structures and dynamics, focussing on approaches applicable across disciplines.

Graph Representation Learning

Author : William L. William L. Hamilton
Publisher : Springer Nature
ISBN 13 : 3031015886
Total Pages : 141 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Graph Representation Learning by : William L. William L. Hamilton

Download or read book Graph Representation Learning written by William L. William L. Hamilton and published by Springer Nature. This book was released on 2022-06-01 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph-structured data is ubiquitous throughout the natural and social sciences, from telecommunication networks to quantum chemistry. Building relational inductive biases into deep learning architectures is crucial for creating systems that can learn, reason, and generalize from this kind of data. Recent years have seen a surge in research on graph representation learning, including techniques for deep graph embeddings, generalizations of convolutional neural networks to graph-structured data, and neural message-passing approaches inspired by belief propagation. These advances in graph representation learning have led to new state-of-the-art results in numerous domains, including chemical synthesis, 3D vision, recommender systems, question answering, and social network analysis. This book provides a synthesis and overview of graph representation learning. It begins with a discussion of the goals of graph representation learning as well as key methodological foundations in graph theory and network analysis. Following this, the book introduces and reviews methods for learning node embeddings, including random-walk-based methods and applications to knowledge graphs. It then provides a technical synthesis and introduction to the highly successful graph neural network (GNN) formalism, which has become a dominant and fast-growing paradigm for deep learning with graph data. The book concludes with a synthesis of recent advancements in deep generative models for graphs—a nascent but quickly growing subset of graph representation learning.

ReCombinatorics

Author : Dan Gusfield
Publisher : MIT Press
ISBN 13 : 0262027526
Total Pages : 601 pages
Book Rating : 4.2/5 (62 download)

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Book Synopsis ReCombinatorics by : Dan Gusfield

Download or read book ReCombinatorics written by Dan Gusfield and published by MIT Press. This book was released on 2014-07-03 with total page 601 pages. Available in PDF, EPUB and Kindle. Book excerpt: When a Philadelphia girl intercepts a message about an impending British attack against her father's regiment, commanded by General Washington, in White Marsh, she travels alone by horseback to warn the Patriot army.

Graphs in Biomedical Image Analysis, Computational Anatomy and Imaging Genetics

Author : M. Jorge Cardoso
Publisher : Springer
ISBN 13 : 331967675X
Total Pages : 262 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Graphs in Biomedical Image Analysis, Computational Anatomy and Imaging Genetics by : M. Jorge Cardoso

Download or read book Graphs in Biomedical Image Analysis, Computational Anatomy and Imaging Genetics written by M. Jorge Cardoso and published by Springer. This book was released on 2017-09-06 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed joint proceedings of the First International Workshop on Graphs in Biomedical Image Analysis, GRAIL 2017, the 6th International Workshop on Mathematical Foundations of Computational Anatomy, MFCA 2017, and the Third International Workshop on Imaging Genetics, MICGen 2017, held in conjunction with the 20th International Conference on Medical Imaging and Computer-Assisted Intervention, MICCAI 2017, in Québec City, QC, Canada, in September 2017. The 7 full papers presented at GRAIL 2017, the 10 full papers presented at MFCA 2017, and the 5 full papers presented at MICGen 2017 were carefully reviewed and selected. The GRAIL papers cover a wide range of graph based medical image analysis methods and applications, including probabilistic graphical models, neuroimaging using graph representations, machine learning for diagnosis prediction, and shape modeling. The MFCA papers deal with theoretical developments in non-linear image and surface registration in the context of computational anatomy. The MICGen papers cover topics in the field of medical genetics, computational biology and medical imaging.

Graphs, Maps, Trees

Author : Franco Moretti
Publisher : Verso Books
ISBN 13 : 1789603315
Total Pages : 141 pages
Book Rating : 4.7/5 (896 download)

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Book Synopsis Graphs, Maps, Trees by : Franco Moretti

Download or read book Graphs, Maps, Trees written by Franco Moretti and published by Verso Books. This book was released on 2020-05-05 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this groundbreaking book, Franco Moretti argues that literature scholars should stop reading books and start counting, graphing, and mapping them instead. In place of the traditionally selective literary canon of a few hundred texts, Moretti offers charts, maps and time lines, developing the idea of "distant reading" into a full-blown experiment in literary historiography, in which the canon disappears into the larger literary system. Charting entire genres-the epistolary, the gothic, and the historical novel-as well as the literary output of countries such as Japan, Italy, Spain, and Nigeria, he shows how literary history looks significantly different from what is commonly supposed and how the concept of aesthetic form can be radically redefined.

From Sequences to Graphs

Author : Annie Chateau
Publisher : John Wiley & Sons
ISBN 13 : 1789450667
Total Pages : 276 pages
Book Rating : 4.7/5 (894 download)

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Book Synopsis From Sequences to Graphs by : Annie Chateau

Download or read book From Sequences to Graphs written by Annie Chateau and published by John Wiley & Sons. This book was released on 2022-11-01 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: In order to study living organisms, scientists not only study them at an overall macroscopic scale but also on a more detailed microscopic scale. This observation, pushed to its limits, consists of investigating the very center of each cell, where we find the molecules that determine the way it functions: DNA (deoxyribonucleic acid) and RNA (ribonucleic acid). In an organism, DNA carries the genetic information, which is called the genome. It is represented as four-letter sequences using the letters A, C, G and T; based on these sequences, computer methods described in this book can answer fundamental questions in bioinformatics. This book explores how to quickly find sequences of a few hundred nucleotides within a genome that may be made up of several billion, how to compare those sequences and how to reconstruct the complete sequence of a genome. It also discusses the problems of identifying bacteria in a given environment and predicting the structure of RNA based on its sequence.

Random Walks and Diffusions on Graphs and Databases

Author : Philipp Blanchard
Publisher : Springer Science & Business Media
ISBN 13 : 364219592X
Total Pages : 271 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Random Walks and Diffusions on Graphs and Databases by : Philipp Blanchard

Download or read book Random Walks and Diffusions on Graphs and Databases written by Philipp Blanchard and published by Springer Science & Business Media. This book was released on 2011-05-26 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most networks and databases that humans have to deal with contain large, albeit finite number of units. Their structure, for maintaining functional consistency of the components, is essentially not random and calls for a precise quantitative description of relations between nodes (or data units) and all network components. This book is an introduction, for both graduate students and newcomers to the field, to the theory of graphs and random walks on such graphs. The methods based on random walks and diffusions for exploring the structure of finite connected graphs and databases are reviewed (Markov chain analysis). This provides the necessary basis for consistently discussing a number of applications such diverse as electric resistance networks, estimation of land prices, urban planning, linguistic databases, music, and gene expression regulatory networks.

Managing and Mining Graph Data

Author : Charu C. Aggarwal
Publisher : Springer Science & Business Media
ISBN 13 : 1441960457
Total Pages : 623 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Managing and Mining Graph Data by : Charu C. Aggarwal

Download or read book Managing and Mining Graph Data written by Charu C. Aggarwal and published by Springer Science & Business Media. This book was released on 2010-02-02 with total page 623 pages. Available in PDF, EPUB and Kindle. Book excerpt: Managing and Mining Graph Data is a comprehensive survey book in graph management and mining. It contains extensive surveys on a variety of important graph topics such as graph languages, indexing, clustering, data generation, pattern mining, classification, keyword search, pattern matching, and privacy. It also studies a number of domain-specific scenarios such as stream mining, web graphs, social networks, chemical and biological data. The chapters are written by well known researchers in the field, and provide a broad perspective of the area. This is the first comprehensive survey book in the emerging topic of graph data processing. Managing and Mining Graph Data is designed for a varied audience composed of professors, researchers and practitioners in industry. This volume is also suitable as a reference book for advanced-level database students in computer science and engineering.

Developments in Language Theory

Author : Tero Harju
Publisher : Springer
ISBN 13 : 354073208X
Total Pages : 428 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Developments in Language Theory by : Tero Harju

Download or read book Developments in Language Theory written by Tero Harju and published by Springer. This book was released on 2007-09-13 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 11th International Conference on Developments in Language Theory, DLT 2007, held in Turku, Finland in July 2007. It addresses all important issues in language theory including grammars, acceptors and transducers for words, trees and graphs; algebraic theories of automata; relationships to cryptography, concurrency, complexity theory and logic; bioinspired computing, and quantum computing.

Graph Drawing

Author : David Eppstein
Publisher : Springer
ISBN 13 : 3642118054
Total Pages : 446 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Graph Drawing by : David Eppstein

Download or read book Graph Drawing written by David Eppstein and published by Springer. This book was released on 2010-03-10 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the refereed proceedings of the 17th International Symposium on Graph Drawing, GD 2009, held in Chicago, USA, during September 2009. The 31 revised full papers and 4 short papers presented were carefully reviewed and selected out of 79 submissions. Furthermore, 10 posters were accepted in a separate submission process.

Semantic AI in Knowledge Graphs

Author : Sanju Tiwari
Publisher : CRC Press
ISBN 13 : 1000911187
Total Pages : 217 pages
Book Rating : 4.0/5 (9 download)

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Book Synopsis Semantic AI in Knowledge Graphs by : Sanju Tiwari

Download or read book Semantic AI in Knowledge Graphs written by Sanju Tiwari and published by CRC Press. This book was released on 2023-08-21 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: Existing research papers do not have complete information in depth about the Semantic AI in Knowledge Graphs. This book has all the basic information required to gain in-depth knowledge of this field. Covers neuro-symbolic AI, explainable AI and deep learning to knowledge discover and mining, and knowledge representation and reasoning.