Graphs And Homomorphisms

Graphs And Homomorphisms Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Graphs And Homomorphisms book. This book definitely worth reading, it is an incredibly well-written.

Graphs and Homomorphisms

Pavol Hell,Jaroslav Nesetril
Graphs and Homomorphisms Book PDF

Author : Pavol Hell,Jaroslav Nesetril
Publisher : OUP Oxford
Page : 260 pages
File Size : 42,5 Mb
Release : 2004-07-22
Category : Mathematics
ISBN : 9780191523724

Get Book

Graphs and Homomorphisms by Pavol Hell,Jaroslav Nesetril Pdf

This is a book about graph homomorphisms. Graph theory is now an established discipline but the study of graph homomorphisms has only recently begun to gain wide acceptance and interest. The subject gives a useful perspective in areas such as graph reconstruction, products, fractional and circular colourings, and has applications in complexity theory, artificial intelligence, telecommunication, and, most recently, statistical physics. Based on the authors' lecture notes for graduate courses, this book can be used as a textbook for a second course in graph theory at 4th year or master's level and has been used for courses at Simon Fraser University (Vancouver), Charles University (Prague), ETH (Zurich), and UFRJ (Rio de Janeiro). The exercises vary in difficulty. The first few are usually intended to give the reader an opportunity to practice the concepts introduced in the chapter; the later ones explore related concepts, or even introduce new ones. For the harder exercises hints and references are provided. The authors are well known for their research in this area and the book will be invaluable to graduate students and researchers alike.

Graphs and Homomorphisms

Pavol Hell,Jaroslav Nešetřil
Graphs and Homomorphisms Book PDF

Author : Pavol Hell,Jaroslav Nešetřil
Publisher : Unknown
Page : 244 pages
File Size : 44,5 Mb
Release : 2004
Category : Graph theory
ISBN : 0191713643

Get Book

Graphs and Homomorphisms by Pavol Hell,Jaroslav Nešetřil Pdf

Based on the authors' lecture notes, this book is concerned with an aspect of graph theory that has broad applications to complexity theory, graph colourings, channel assignment and statistical physics. It contains exercises, hints and references.

Graph Symmetry

Gena Hahn,Gert Sabidussi
Graph Symmetry Book PDF

Author : Gena Hahn,Gert Sabidussi
Publisher : Springer Science & Business Media
Page : 434 pages
File Size : 41,8 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9789401589376

Get Book

Graph Symmetry by Gena Hahn,Gert Sabidussi Pdf

The last decade has seen two parallel developments, one in computer science, the other in mathematics, both dealing with the same kind of combinatorial structures: networks with strong symmetry properties or, in graph-theoretical language, vertex-transitive graphs, in particular their prototypical examples, Cayley graphs. In the design of large interconnection networks it was realised that many of the most fre quently used models for such networks are Cayley graphs of various well-known groups. This has spawned a considerable amount of activity in the study of the combinatorial properties of such graphs. A number of symposia and congresses (such as the bi-annual IWIN, starting in 1991) bear witness to the interest of the computer science community in this subject. On the mathematical side, and independently of any interest in applications, progress in group theory has made it possible to make a realistic attempt at a complete description of vertex-transitive graphs. The classification of the finite simple groups has played an important role in this respect.

Complexity and Expressibility of Counting Graph Homomorphism Problems

Artsiom Hovarau
Complexity and Expressibility of Counting Graph Homomorphism Problems Book PDF

Author : Artsiom Hovarau
Publisher : Unknown
Page : 0 pages
File Size : 54,8 Mb
Release : 2021
Category : Electronic
ISBN : OCLC:1289320253

Get Book

Complexity and Expressibility of Counting Graph Homomorphism Problems by Artsiom Hovarau Pdf

We investigate expressibility and computational complexity aspects of counting graph homomorphisms. Our expressibility results deal with structural properties of graph homomorphisms and their relation to different graph parameters. Our computational complexity results concern exact counting problems. For various such problems complexity dichotomies have been proved. A typical dichotomy statement is that a problem is either in polynomial time or #P-hard depending on certain conditions. In the expressibilty part, we first obtain a criterion for a graph parameter to be expressible as a partition function of graph homomorphisms over an arbitrary field, generalizing the result from [27]. In order to achieve this, we introduce the notion of a connection tensor extending that of a connection matrix in [27]. We also deal with expressibility aspects of different graph parameters. In particular, using our criterion we show the inexpressiblity of perfect matchings and edge colorings as a graph homomorphism problem. Next, we show that two graphs with arbitrary vertex and edge weights cannot define the same partition function of graph homomorphisms unless they are isomorphic. This result is a direct generalization of [45, 46, 56]. After that, we inquire into the complexity of counting graph homomorphisms. By introducing some novel combinatorial constructions and interpolation techniques, we generalize the Bulatov-Grohe dichotomy [5] for nonnegative edge weights, i.e., the #P-hardness part thereof, to bounded degree (and simple) graphs. Further, by employing more techniques and considerably more work, primarily of an algebraic nature, we show how to extend the more general complexity dichotomy by Cai, Chen and Lu [8] for complex edge weights to bounded degree (and simple) graphs and also how to do it constructively. We first achieve an extension for bounded degree graphs, and then make a transition to bounded degree simple graphs. Besides, some of our expressibility results play a crucial role for the transition to bounded degree simple graphs and the construcitivity of our dichotomy. This all serves as a unifying component in this work.

Graphs, Morphisms, and Statistical Physics

Jaroslav Nešetřil,Peter Winkler
Graphs Morphisms and Statistical Physics Book PDF

Author : Jaroslav Nešetřil,Peter Winkler
Publisher : American Mathematical Soc.
Page : 220 pages
File Size : 53,7 Mb
Release : 2024-05-10
Category : Science
ISBN : 0821871056

Get Book

Graphs, Morphisms, and Statistical Physics by Jaroslav Nešetřil,Peter Winkler Pdf

The intersection of combinatorics and statistical physics has experienced great activity in recent years. This flurry of activity has been fertilized by an exchange not only of techniques, but also of objectives. Computer scientists interested in approximation algorithms have helped statistical physicists and discrete mathematicians overcome language problems. They have found a wealth of common ground in probabilistic combinatorics. Close connections between percolation and random graphs, graph morphisms and hard-constraint models, and slow mixing and phase transition have led to new results and perspectives. These connections can help in understanding typical behavior of combinatorial phenomena such as graph coloring and homomorphisms. Inspired by issues and intriguing new questions surrounding the interplay of combinatorics and statistical physics, a DIMACS/DIMATIA workshop was held at Rutgers University. These proceedings are the outgrowth of that meeting. This volume is intended for graduate students and research mathematicians interested in probabilistic graph theory and its applications.

Discrete and Computational Geometry

Boris Aronov,Saugata Basu,Janos Pach,Micha Sharir
Discrete and Computational Geometry Book PDF

Author : Boris Aronov,Saugata Basu,Janos Pach,Micha Sharir
Publisher : Springer Science & Business Media
Page : 853 pages
File Size : 49,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642555664

Get Book

Discrete and Computational Geometry by Boris Aronov,Saugata Basu,Janos Pach,Micha Sharir Pdf

An impressive collection of original research papers in discrete and computational geometry, contributed by many leading researchers in these fields, as a tribute to Jacob E. Goodman and Richard Pollack, two of the ‘founding fathers’ of the area, on the occasion of their 2/3 x 100 birthdays. The topics covered by the 41 papers provide professionals and graduate students with a comprehensive presentation of the state of the art in most aspects of discrete and computational geometry, including geometric algorithms, study of arrangements, geometric graph theory, quantitative and algorithmic real algebraic geometry, with important connections to algebraic geometry, convexity, polyhedral combinatorics, the theory of packing, covering, and tiling. The book serves as an invaluable source of reference in this discipline.

Topics in Discrete Mathematics

Martin Klazar,Jan Kratochvil,Martin Loebl,Robin Thomas,Pavel Valtr
Topics in Discrete Mathematics Book PDF

Author : Martin Klazar,Jan Kratochvil,Martin Loebl,Robin Thomas,Pavel Valtr
Publisher : Springer Science & Business Media
Page : 619 pages
File Size : 47,8 Mb
Release : 2007-05-28
Category : Mathematics
ISBN : 9783540337003

Get Book

Topics in Discrete Mathematics by Martin Klazar,Jan Kratochvil,Martin Loebl,Robin Thomas,Pavel Valtr Pdf

This book comprises a collection of high quality papers in selected topics of Discrete Mathematics, to celebrate the 60th birthday of Professor Jarik Nešetril. Leading experts have contributed survey and research papers in the areas of Algebraic Combinatorics, Combinatorial Number Theory, Game theory, Ramsey Theory, Graphs and Hypergraphs, Homomorphisms, Graph Colorings and Graph Embeddings.

Large Networks and Graph Limits

László Lovász
Large Networks and Graph Limits Book PDF

Author : László Lovász
Publisher : American Mathematical Soc.
Page : 475 pages
File Size : 40,5 Mb
Release : 2012
Category : Mathematics
ISBN : 9780821890851

Get Book

Large Networks and Graph Limits by László Lovász Pdf

Recently, it became apparent that a large number of the most interesting structures and phenomena of the world can be described by networks. To develop a mathematical theory of very large networks is an important challenge. This book describes one recent approach to this theory, the limit theory of graphs which has emerged over the last decade.

Algebraic Graph Theory

Ulrich Knauer
Algebraic Graph Theory Book PDF

Author : Ulrich Knauer
Publisher : Walter de Gruyter
Page : 325 pages
File Size : 55,6 Mb
Release : 2011-09-29
Category : Mathematics
ISBN : 9783110255096

Get Book

Algebraic Graph Theory by Ulrich Knauer Pdf

Graph models are extremely useful for almost all applications and applicators as they play an important role as structuring tools. They allow to model net structures – like roads, computers, telephones – instances of abstract data structures – like lists, stacks, trees – and functional or object oriented programming. In turn, graphs are models for mathematical objects, like categories and functors. This highly self-contained book about algebraic graph theory is written with a view to keep the lively and unconventional atmosphere of a spoken text to communicate the enthusiasm the author feels about this subject. The focus is on homomorphisms and endomorphisms, matrices and eigenvalues. It ends with a challenging chapter on the topological question of embeddability of Cayley graphs on surfaces.

Homomorphism and Isomorphism in strong neutrosophic graphs

M. Mullai,Said Broumi,R.Jeyabalan
Homomorphism and Isomorphism in strong neutrosophic graphs Book PDF

Author : M. Mullai,Said Broumi,R.Jeyabalan
Publisher : Infinite Study
Page : 13 pages
File Size : 49,6 Mb
Release : 2024-05-10
Category : Mathematics
ISBN : 8210379456XXX

Get Book

Homomorphism and Isomorphism in strong neutrosophic graphs by M. Mullai,Said Broumi,R.Jeyabalan Pdf

The concept of strong neutrosophic graph is developed with example and some of their properties are investigated in this paper. Some definitions, homomorphism, isomorphism theorems and propositions in strong neutrosophic graphs are established. Basic operations(like union, intersection etc.,) and complement of strong neutrosophic graphs are also derived here.

LATIN 2008: Theoretical Informatics

Eduardo Sany Laber,Claudson Bornstein,Loana Tito Nogueira,Luerbio Faria
LATIN 2008 Theoretical Informatics Book PDF

Author : Eduardo Sany Laber,Claudson Bornstein,Loana Tito Nogueira,Luerbio Faria
Publisher : Springer
Page : 796 pages
File Size : 45,9 Mb
Release : 2008-04-04
Category : Computers
ISBN : 9783540787730

Get Book

LATIN 2008: Theoretical Informatics by Eduardo Sany Laber,Claudson Bornstein,Loana Tito Nogueira,Luerbio Faria Pdf

This proceedings volume examines a range of topics in theoretical computer science, including automata theory, data compression, logic, machine learning, mathematical programming, parallel and distributed computing, quantum computing and random structures.

Ordered Sets

Bernd Schröder
Ordered Sets Book PDF

Author : Bernd Schröder
Publisher : Birkhäuser
Page : 420 pages
File Size : 40,6 Mb
Release : 2016-05-11
Category : Mathematics
ISBN : 9783319297880

Get Book

Ordered Sets by Bernd Schröder Pdf

An introduction to the basic tools of the theory of (partially) ordered sets such as visualization via diagrams, subsets, homomorphisms, important order-theoretical constructions and classes of ordered sets. Using a thematic approach, the author presents open or recently solved problems to motivate the development of constructions and investigations for new classes of ordered sets. The text can be used as a focused follow-up or companion to a first proof (set theory and relations) or graph theory course.

Graph-Theoretic Concepts in Computer Science

Andreas Brandstädt,Klaus Jansen,Rüdiger Reischuk
Graph Theoretic Concepts in Computer Science Book PDF

Author : Andreas Brandstädt,Klaus Jansen,Rüdiger Reischuk
Publisher : Springer
Page : 430 pages
File Size : 54,6 Mb
Release : 2013-11-12
Category : Computers
ISBN : 9783642450433

Get Book

Graph-Theoretic Concepts in Computer Science by Andreas Brandstädt,Klaus Jansen,Rüdiger Reischuk Pdf

This book constitutes the thoroughly refereed proceedings of the 39th International Workshop on Graph Theoretic Concepts in Computer Science, WG 2013, held in Lübeck, Germany, in June 2013. The 34 revised full papers presented were carefully reviewed and selected from 61 submissions. The book also includes two abstracts. The papers cover a wide range of topics in graph theory related to computer science, such as structural graph theory with algorithmic or complexity applications; design and analysis of sequential, parallel, randomized, parameterized and distributed graph and network algorithms; computational complexity of graph and network problems; computational geometry; graph grammars, graph rewriting systems and graph modeling; graph drawing and layouts; random graphs and models of the web and scale-free networks; and support of these concepts by suitable implementations and applications.

Algebraic and Geometric Combinatorics

E. Mendelsohn
Algebraic and Geometric Combinatorics Book PDF

Author : E. Mendelsohn
Publisher : Elsevier
Page : 375 pages
File Size : 40,5 Mb
Release : 1982-01-01
Category : Mathematics
ISBN : 0080871763

Get Book

Algebraic and Geometric Combinatorics by E. Mendelsohn Pdf

Algebraic and Geometric Combinatorics

Graph-Theoretic Concepts in Computer Science

Ignasi Sau,Dimitrios M. Thilikos
Graph Theoretic Concepts in Computer Science Book PDF

Author : Ignasi Sau,Dimitrios M. Thilikos
Publisher : Springer Nature
Page : 394 pages
File Size : 52,8 Mb
Release : 2019-09-11
Category : Mathematics
ISBN : 9783030307868

Get Book

Graph-Theoretic Concepts in Computer Science by Ignasi Sau,Dimitrios M. Thilikos Pdf

This book constitutes the revised papers of the 45th International Workshop on Graph-Theoretic Concepts in Computer Science, WG 2019, held in Vall de Núria, Spain, in June 2019. The 29 full papers presented in this volume were carefully reviewed and selected from 87 submissions. They cover a wide range of areas, aiming at connecting theory and applications by demonstrating how graph-theoretic concepts can be applied in various areas of computer science. Another focus is on presenting recent results and on identifying and exploring promising directions of future research.