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Graph Polynomials
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Download or read book Graph Polynomials written by Yongtang Shi and published by CRC Press. This book was released on 2016-11-25 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers both theoretical and practical results for graph polynomials. Graph polynomials have been developed for measuring combinatorial graph invariants and for characterizing graphs. Various problems in pure and applied graph theory or discrete mathematics can be treated and solved efficiently by using graph polynomials. Graph polynomials have been proven useful areas such as discrete mathematics, engineering, information sciences, mathematical chemistry and related disciplines.
Author :Joanna A. Ellis-Monaghan Publisher :Springer Science & Business Media ISBN 13 :1461469716 Total Pages :149 pages Book Rating :4.4/5 (614 download)
Book Synopsis Graphs on Surfaces by : Joanna A. Ellis-Monaghan
Download or read book Graphs on Surfaces written by Joanna A. Ellis-Monaghan and published by Springer Science & Business Media. This book was released on 2013-06-28 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graphs on Surfaces: Dualities, Polynomials, and Knots offers an accessible and comprehensive treatment of recent developments on generalized duals of graphs on surfaces, and their applications. The authors illustrate the interdependency between duality, medial graphs and knots; how this interdependency is reflected in algebraic invariants of graphs and knots; and how it can be exploited to solve problems in graph and knot theory. Taking a constructive approach, the authors emphasize how generalized duals and related ideas arise by localizing classical constructions, such as geometric duals and Tait graphs, and then removing artificial restrictions in these constructions to obtain full extensions of them to embedded graphs. The authors demonstrate the benefits of these generalizations to embedded graphs in chapters describing their applications to graph polynomials and knots. Graphs on Surfaces: Dualities, Polynomials, and Knots also provides a self-contained introduction to graphs on surfaces, generalized duals, topological graph polynomials, and knot polynomials that is accessible both to graph theorists and to knot theorists. Directed at those with some familiarity with basic graph theory and knot theory, this book is appropriate for graduate students and researchers in either area. Because the area is advancing so rapidly, the authors give a comprehensive overview of the topic and include a robust bibliography, aiming to provide the reader with the necessary foundations to stay abreast of the field. The reader will come away from the text convinced of advantages of considering these higher genus analogues of constructions of plane and abstract graphs, and with a good understanding of how they arise.
Book Synopsis Chromatic Polynomials and Chromaticity of Graphs by : F. M. Dong
Download or read book Chromatic Polynomials and Chromaticity of Graphs written by F. M. Dong and published by World Scientific. This book was released on 2005 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This is the first book to comprehensively cover chromatic polynomials of graphs. It includes most of the known results and unsolved problems in the area of chromatic polynomials. Dividing the book into three main parts, the authors take readers from the rudiments of chromatic polynomials to more complex topics: the chromatic equivalence classes of graphs and the zeros and inequalities of chromatic polynomials. The early material is well suited to a graduate level course while the latter parts will be an invaluable resource for postgraduate students and researchers in combinatorics and graph theory."--BOOK JACKET.
Download or read book Precalculus written by David Lippman and published by . This book was released on 2022-07-14 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an open textbook covering a two-quarter pre-calculus sequence including trigonometry. The first portion of the book is an investigation of functions, exploring the graphical behavior of, interpretation of, and solutions to problems involving linear, polynomial, rational, exponential, and logarithmic functions. The second portion of the book introduces trigonometry, introduced through an integrated circle/triangle approach. Identities are introduced in the first chapter, and revisited throughout. Likewise, solving is introduced in the second chapter and revisited more extensively in the third chapter. An emphasis is placed on modeling and interpretation, as well as the important characteristics needed in calculus.
Book Synopsis Chromatic Polynomials And Chromaticity Of Graphs by : Fengming Dong
Download or read book Chromatic Polynomials And Chromaticity Of Graphs written by Fengming Dong and published by World Scientific. This book was released on 2005-06-23 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book to comprehensively cover chromatic polynomials of graphs. It includes most of the known results and unsolved problems in the area of chromatic polynomials. Dividing the book into three main parts, the authors take readers from the rudiments of chromatic polynomials to more complex topics: the chromatic equivalence classes of graphs and the zeros and inequalities of chromatic polynomials. The early material is well suited to a graduate level course while the latter parts will be an invaluable resource for postgraduate students and researchers in combinatorics and graph theory.
Book Synopsis Graph-Theoretic Concepts in Computer Science by : Christophe Paul
Download or read book Graph-Theoretic Concepts in Computer Science written by Christophe Paul and published by Springer. This book was released on 2009-12-03 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 35th International Workshop on Graph-Theoretic Concepts in Computer Science (WG 2009) took place at Montpellier (France), June 24–26 2009. About 80 computer scientists from all over the world (Australia, Belgium, Canada, China, Czech Republic, France, Germany, Greece, Israel, Japan, Korea, The Netherlands, Norway, Spain, UK, USA) attended the conference. Since1975,ithastakenplace20timesinGermany,fourtimesinTheNeth- lands, twice in Austria, as well as once in Italy, Slovakia, Switzerland, the Czech Republic, France, Norway, and the UK. The conference aims at uniting theory and practice by demonstrating how graph-theoretic concepts can be applied to various areas in computer science, or by extracting new problems from appli- tions. The goal is to present recent research results and to identify and explore directions of future research. The conference is well-balanced with respect to established researchers and young scientists. There were 69 submissions. Each submission was reviewed by at least three, and on average four, Program Committee members. The Committee decided to accept 28 papers. Due to the competition and the limited schedule, some good papers could not be accepted. Theprogramalsoincludedexcellentinvitedtalks:onegivenbyDanielKràlon “AlgorithmsforClassesofGraphswithBoundedExpansion,” the otherbyDavid Eppsteinon“Graph-TheoreticSolutionstoComputationalGeometryProblems.” The proceedings contains two survey papers on these topics.
Download or read book Graph Polynomials written by Yongtang Shi and published by CRC Press. This book was released on 2016-11-25 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers both theoretical and practical results for graph polynomials. Graph polynomials have been developed for measuring combinatorial graph invariants and for characterizing graphs. Various problems in pure and applied graph theory or discrete mathematics can be treated and solved efficiently by using graph polynomials. Graph polynomials have been proven useful areas such as discrete mathematics, engineering, information sciences, mathematical chemistry and related disciplines.
Book Synopsis Logical Approaches to Computational Barriers by : Arnold Beckmann
Download or read book Logical Approaches to Computational Barriers written by Arnold Beckmann and published by Springer Science & Business Media. This book was released on 2006-06-26 with total page 623 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Second International Conference on Computability in Europe, CiE 2006, held in Swansea, UK, June/July 2006. The book presents 31 revised full papers together with 30 invited papers, including papers corresponding to 8 plenary talks and 6 special sessions on proofs and computation, computable analysis, challenges in complexity, foundations of programming, mathematical models of computers and hypercomputers, and Gödel centenary: Gödel's legacy for computability.
Book Synopsis Model Theoretic Methods in Finite Combinatorics by : Martin Grohe
Download or read book Model Theoretic Methods in Finite Combinatorics written by Martin Grohe and published by American Mathematical Soc.. This book was released on 2011-11-28 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the AMS-ASL Special Session on Model Theoretic Methods in Finite Combinatorics, held January 5-8, 2009, in Washington, DC. Over the last 20 years, various new connections between model theory and finite combinatorics emerged. The best known of these are in the area of 0-1 laws, but in recent years other very promising interactions between model theory and combinatorics have been developed in areas such as extremal combinatorics and graph limits, graph polynomials, homomorphism functions and related counting functions, and discrete algorithms, touching the boundaries of computer science and statistical physics. This volume highlights some of the main results, techniques, and research directions of the area. Topics covered in this volume include recent developments on 0-1 laws and their variations, counting functions defined by homomorphisms and graph polynomials and their relation to logic, recurrences and spectra, the logical complexity of graphs, algorithmic meta theorems based on logic, universal and homogeneous structures, and logical aspects of Ramsey theory.
Book Synopsis Logic, Language, Information, and Computation by : Jouko Väänänen
Download or read book Logic, Language, Information, and Computation written by Jouko Väänänen and published by Springer. This book was released on 2016-08-05 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: Edited in collaboration with FoLLI, the Association of Logic, Language and Information this book constitutes the refereed proceedings of the 23rd Workshop on Logic, Language, Information and Communication, WoLLIC 2016, held in Puebla, Mexico, in August 2016.The 23 contributed papers, presented together with 9 invited lectures and tutorials, were carefully reviewed and selected from 33 submissions. The focus of the workshop is to provide a forum on inter-disciplinary research involving formal logic, computing and programming theory, and natural language and reasoning.
Book Synopsis Discrete Mathematics and Its Applications by : M. Sethumadhavan
Download or read book Discrete Mathematics and Its Applications written by M. Sethumadhavan and published by Alpha Science Int'l Ltd.. This book was released on 2006 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discrete Mathematics and its Applications provides an in-depth review of recent applications in the area and points to the directions of research. It deals with a wide range of topics like Cryptology Graph Theory Fuzzy Topology Computer Science Mathematical Biology A resource for researchers to keep track of the latest developments in these topics. Of interest to graph theorists, computer scientists, cryptographers, security specialists.
Book Synopsis Discrete Mathematics and Symmetry by : Angel Garrido
Download or read book Discrete Mathematics and Symmetry written by Angel Garrido and published by MDPI. This book was released on 2020-03-05 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: Some of the most beautiful studies in Mathematics are related to Symmetry and Geometry. For this reason, we select here some contributions about such aspects and Discrete Geometry. As we know, Symmetry in a system means invariance of its elements under conditions of transformations. When we consider network structures, symmetry means invariance of adjacency of nodes under the permutations of node set. The graph isomorphism is an equivalence relation on the set of graphs. Therefore, it partitions the class of all graphs into equivalence classes. The underlying idea of isomorphism is that some objects have the same structure if we omit the individual character of their components. A set of graphs isomorphic to each other is denominated as an isomorphism class of graphs. The automorphism of a graph will be an isomorphism from G onto itself. The family of all automorphisms of a graph G is a permutation group.
Book Synopsis Computer Science - Theory and Applications by : Edward A. Hirsch
Download or read book Computer Science - Theory and Applications written by Edward A. Hirsch and published by Springer Science & Business Media. This book was released on 2008-05-08 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Third International Computer Science Symposium in Russia (CSR-2008) was held during June 7–12, 2008 in Moscow, Russia, hosted by Dorodnicyn Computing Centre of Russian Academy of Sciences, Institute for System P- gramming of Russian Academy of Sciences, Moscow State University, Moscow Institute of Open Education,andInstitute ofNew Technologies.It was the third event in the series of regular international meetings following CSR-2006 in St. Petersburg and CSR-2007 in Ekaterinburg. The symposiumwascomposedof twotracks:Theory andApplications/Te- nology.The opening lecture was given by Avi Wigdersonand eight other invited plenarylecturesweregivenby EricAllender,ZurabKhasidashvili,LeonidLevin, Pavel Pudl´ ak, Florin Spanachi, Limsoon Wong, Yuri Zhuravlev and Konstantin Rudakov, and Uri Zwick. This volume contains the accepted papers of both tracks and also some of the abstracts of the invited speakers. The scope of the proposed topics for the symposium was quite broad and covered basically all areas of computer science and its applications. We received 103 papers in total. The Program Committee of the Theory Track selected 27 papers out of 62 submissions. The Program Committee of the Applications/Technology Track selected 6 papers out of 41 submissions.
Book Synopsis Topics in Theoretical Computer Science by : Mohammed Taghi Hajiaghayi
Download or read book Topics in Theoretical Computer Science written by Mohammed Taghi Hajiaghayi and published by Springer. This book was released on 2016-01-08 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-conference proceedings of the First IFIP WG 1.8 International Conference on Topics in Theoretical Computer Science, held in Tehran, Iran, in August 2015. The 10 full papers presented together with 3 invited talks were carefully reviewed and selected from 48 submissions. The papers feature novel and high-quality research in all areas of theoretical computer science.
Book Synopsis Computer Science Logic by : Michael Kaminski
Download or read book Computer Science Logic written by Michael Kaminski and published by Springer Science & Business Media. This book was released on 2008-09-10 with total page 523 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 22nd International Workshop on Computer Science Logic, CSL 2008, held as the 17th Annual Conference of the EACSL in Bertinoro, Italy, in September 2008. The 31 revised full papers presented together with 4 invited lectures were carefully reviewed and selected from 102 submissions. All current aspects of logic in computer science are addressed, ranging from foundational and methodological issues to application issues of practical relevance. The book concludes with a presentation of this year's Ackermann award.
Book Synopsis Involutions, Acyclic Orientations, and Chromatic Polynomials of Graphs by : Jonathan Trostle
Download or read book Involutions, Acyclic Orientations, and Chromatic Polynomials of Graphs written by Jonathan Trostle and published by . This book was released on 1987 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Graph Theory written by D. Cvetkovic and published by . This book was released on 1984 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt:
