Read Books Online and Download eBooks, EPub, PDF, Mobi, Kindle, Text Full Free.
Graphs And Homomorphisms
Download Graphs And Homomorphisms full books in PDF, epub, and Kindle. Read online Graphs And Homomorphisms ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Book Synopsis Graphs and Homomorphisms by : Pavol Hell
Download or read book Graphs and Homomorphisms written by Pavol Hell and published by OUP Oxford. This book was released on 2004-07-22 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Graphs and Homomorphisms by : Pavol Hell
Download or read book Graphs and Homomorphisms written by Pavol Hell and published by . This book was released on 2004 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Graph Symmetry written by Gena Hahn and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Variations on a Theme by : David E. Roberson
Download or read book Variations on a Theme written by David E. Roberson and published by . This book was released on 2013 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Large Networks and Graph Limits by : László Lovász
Download or read book Large Networks and Graph Limits written by László Lovász and published by American Mathematical Soc.. This book was released on 2012 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. The theory has rich connections with other approaches to the study of large networks, such as ``property testing'' in computer science and regularity partition in graph theory. It has several applications in extremal graph theory, including the exact formulations and partial answers to very general questions, such as which problems in extremal graph theory are decidable. It also has less obvious connections with other parts of mathematics (classical and non-classical, like probability theory, measure theory, tensor algebras, and semidefinite optimization). This book explains many of these connections, first at an informal level to emphasize the need to apply more advanced mathematical methods, and then gives an exact development of the theory of the algebraic theory of graph homomorphisms and of the analytic theory of graph limits. This is an amazing book: readable, deep, and lively. It sets out this emerging area, makes connections between old classical graph theory and graph limits, and charts the course of the future. --Persi Diaconis, Stanford University This book is a comprehensive study of the active topic of graph limits and an updated account of its present status. It is a beautiful volume written by an outstanding mathematician who is also a great expositor. --Noga Alon, Tel Aviv University, Israel Modern combinatorics is by no means an isolated subject in mathematics, but has many rich and interesting connections to almost every area of mathematics and computer science. The research presented in Lovasz's book exemplifies this phenomenon. This book presents a wonderful opportunity for a student in combinatorics to explore other fields of mathematics, or conversely for experts in other areas of mathematics to become acquainted with some aspects of graph theory. --Terence Tao, University of California, Los Angeles, CA Laszlo Lovasz has written an admirable treatise on the exciting new theory of graph limits and graph homomorphisms, an area of great importance in the study of large networks. It is an authoritative, masterful text that reflects Lovasz's position as the main architect of this rapidly developing theory. The book is a must for combinatorialists, network theorists, and theoretical computer scientists alike. --Bela Bollobas, Cambridge University, UK
Book Synopsis Homomorphisms of Graphs by : Richard Alan Gillman
Download or read book Homomorphisms of Graphs written by Richard Alan Gillman and published by . This book was released on 1986 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Algebraic Graph Theory by : Chris Godsil
Download or read book Algebraic Graph Theory written by Chris Godsil and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents and illustrates the main tools and ideas of algebraic graph theory, with a primary emphasis on current rather than classical topics. It is designed to offer self-contained treatment of the topic, with strong emphasis on concrete examples.
Book Synopsis Homomorphisms of Graphs by : Stephen Hedetniemi
Download or read book Homomorphisms of Graphs written by Stephen Hedetniemi and published by . This book was released on 1965 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Graphs and Homomorphisms 2e written by and published by . This book was released on 2016 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Algebraic Graph Theory by : Ulrich Knauer
Download or read book Algebraic Graph Theory written by Ulrich Knauer and published by Walter de Gruyter. This book was released on 2011-09-29 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Discrete and Computational Geometry by : Boris Aronov
Download or read book Discrete and Computational Geometry written by Boris Aronov and published by Springer Science & Business Media. This book was released on 2003-06-23 with total page 874 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Extremal Problems in Graph Homomorphisms and Vertex Identifications by : Daniel Pritikin
Download or read book Extremal Problems in Graph Homomorphisms and Vertex Identifications written by Daniel Pritikin and published by . This book was released on 1984 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Topics in Discrete Mathematics by : Martin Klazar
Download or read book Topics in Discrete Mathematics written by Martin Klazar and published by Springer. This book was released on 2010-11-20 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Graph Coloring Problems by : Tommy R. Jensen
Download or read book Graph Coloring Problems written by Tommy R. Jensen and published by John Wiley & Sons. This book was released on 2011-10-24 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains a wealth of information previously scattered in research journals, conference proceedings and technical reports. Identifies more than 200 unsolved problems. Every problem is stated in a self-contained, extremely accessible format, followed by comments on its history, related results and literature. The book will stimulate research and help avoid efforts on solving already settled problems. Each chapter concludes with a comprehensive list of references which will lead readers to original sources, important contributions and other surveys.
Book Synopsis Complexity and Expressibility of Counting Graph Homomorphism Problems by : Artsiom Hovarau
Download or read book Complexity and Expressibility of Counting Graph Homomorphism Problems written by Artsiom Hovarau and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Homomorphisms of Graphs and Automata by : S. T. Hedetniemi
Download or read book Homomorphisms of Graphs and Automata written by S. T. Hedetniemi and published by . This book was released on 1965 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: A homomorphism of a graph G onto a graph G' is a function phi from the set of points of G onto the set of points of G' such that whenever two points a and b are adjacent in G, their images, a phi and b phi are adjacent in G'. The concept of a homomorphism of an algebra or of a relational system has been defined and studied for many years, yet the concept of a homomorphism of a graph has not. Although several definitions of graphical homomorphisms have appeared in the literature, not many results have been obtained. In this paper the concept of a homomorphism of a graph is extensively studied. It is shown that the language of graphical homomorphisms is capable of expressing a variety of previously established results in graph theory in such a light as to enable these results to be generalized, proved as corollaries, or proved more simply. It is shown that the concept of a homomorphism of a graph is related to several other concepts in graph theory on the basis of which a number of altogether new results are established. It is also shown that in some cases the usefulness of homomorphisms in solving problems in graph theory is rather limited. The results that are obtained and the questions that are raised in this paper can be said to be either algebraic or graph theoretic in nature. However, an emphasis is placed upon obtaining graph theoretic results. Consequently, there are very few purely algebraic results in this paper; the portions of this work which are algebraic are almost entirely foundational in nature. (Author).
Book Synopsis Combinatorial Algebraic Topology by : Dimitry Kozlov
Download or read book Combinatorial Algebraic Topology written by Dimitry Kozlov and published by Springer Science & Business Media. This book was released on 2008-01-08 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the first comprehensive treatment of combinatorial algebraic topology in book form. The first part of the book constitutes a swift walk through the main tools of algebraic topology. Readers - graduate students and working mathematicians alike - will probably find particularly useful the second part, which contains an in-depth discussion of the major research techniques of combinatorial algebraic topology. Although applications are sprinkled throughout the second part, they are principal focus of the third part, which is entirely devoted to developing the topological structure theory for graph homomorphisms.
