Generalized Coloring for Tree-like Graphs PDF Download

Author: Klaus Jansen
Publisher:
ISBN:
Category :
Languages : en
Pages : 20

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Author: Ernst Mayr
Publisher: Springer Science & Business Media
ISBN: 9783540564027
Category : Computers
Languages : en
Pages : 364

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Book Description
The 18th International Workshop on Graph-Theoretic Concepts in Computer Science (WG '92) was held in Wiesbaden-Naurod, Germany, June 18-20, 1992. Itwas organized by the Department of Computer Science, Johann Wolfgang Goethe University, Frankfurt am Main. Contributions with original results inthe study and application of graph-theoretic concepts in various fields of computer science were solicited, and 72 papers were submitted and reviewed, from which 29 were selected for presentation at the workshop. The workshop was attended by 61 scientists from 16 countries. All 29 papers in the volume have undergone careful revision after the meeting, based on the discussions and comments from the audience and the referees. The volume is divided into parts on restricted graph classes, scheduling and related problems, parallel anbd distributed algorithms, combinatorial graph problems, graph decomposition, graph grammars and geometry, and modelling by graphs.

Author: Claudio Gentile
Publisher: Springer Nature
ISBN: 3030630722
Category : Mathematics
Languages : en
Pages : 408

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Book Description
This book highlights new and original contributions on Graph Theory and Combinatorial Optimization both from the theoretical point of view and from applications in all fields. The book chapters describe models and methods based on graphs, structural properties, discrete optimization, network optimization, mixed-integer programming, heuristics, meta-heuristics, math-heuristics, and exact methods as well as applications. The book collects selected contributions from the CTW2020 international conference (18th Cologne-Twente Workshop on Graphs and Combinatorial Optimization), held online on September 14-16, 2020. The conference was organized by IASI-CNR with the contribution of University of Roma Tre, University Roma Tor Vergata, and CNRS-LIX and with the support of AIRO. It is addressed to researchers, PhD students, and practitioners in the fields of Graph Theory, Discrete Mathematics, Combinatorial Optimization, and Operations Research.

Author: Tommy R. Jensen
Publisher: John Wiley & Sons
ISBN: 1118030745
Category : Mathematics
Languages : en
Pages : 320

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Book Description
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.

Author: Jonathan L. Gross
Publisher: CRC Press
ISBN: 1439880190
Category : Computers
Languages : en
Pages : 1606

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Book Description
In the ten years since the publication of the best-selling first edition, more than 1,000 graph theory papers have been published each year. Reflecting these advances, Handbook of Graph Theory, Second Edition provides comprehensive coverage of the main topics in pure and applied graph theory. This second edition-over 400 pages longer than its prede

Author: Tandy Warnow
Publisher: Springer
ISBN: 3540450718
Category : Computers
Languages : en
Pages : 573

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Book Description
The refereed proceedings of the 9th Annual International Computing and Combinatorics Conference, COCOON 2003, held in Big Sky, MT, USA in July 2003. The 52 revised full papers presented together with 3 invited contributions were carefully reviewed and selected from 114 submissions. The papers are organized in topical sections on computational geometry, computational biology, computability and complexity theory, graph theory and graph algorithms, automata and Petri net theory, distributed computing, Web-based computing, scheduling, graph drawing, and fixed-parameter complexity theory.

Author: Ding-Zhu Du
Publisher: Springer Science & Business Media
ISBN: 1461303036
Category : Mathematics
Languages : en
Pages : 2410

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Book Description
Combinatorial (or discrete) optimization is one of the most active fields in the interface of operations research, computer science, and applied math ematics. Combinatorial optimization problems arise in various applications, including communications network design, VLSI design, machine vision, air line crew scheduling, corporate planning, computer-aided design and man ufacturing, database query design, cellular telephone frequency assignment, constraint directed reasoning, and computational biology. Furthermore, combinatorial optimization problems occur in many diverse areas such as linear and integer programming, graph theory, artificial intelligence, and number theory. All these problems, when formulated mathematically as the minimization or maximization of a certain function defined on some domain, have a commonality of discreteness. Historically, combinatorial optimization starts with linear programming. Linear programming has an entire range of important applications including production planning and distribution, personnel assignment, finance, alloca tion of economic resources, circuit simulation, and control systems. Leonid Kantorovich and Tjalling Koopmans received the Nobel Prize (1975) for their work on the optimal allocation of resources. Two important discover ies, the ellipsoid method (1979) and interior point approaches (1984) both provide polynomial time algorithms for linear programming. These algo rithms have had a profound effect in combinatorial optimization. Many polynomial-time solvable combinatorial optimization problems are special cases of linear programming (e.g. matching and maximum flow). In addi tion, linear programming relaxations are often the basis for many approxi mation algorithms for solving NP-hard problems (e.g. dual heuristics).

Author: Jaroslav Nešetřil
Publisher: Springer Science & Business Media
ISBN: 3642278752
Category : Mathematics
Languages : en
Pages : 472

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Book Description
This is the first book devoted to the systematic study of sparse graphs and sparse finite structures. Although the notion of sparsity appears in various contexts and is a typical example of a hard to define notion, the authors devised an unifying classification of general classes of structures. This approach is very robust and it has many remarkable properties. For example the classification is expressible in many different ways involving most extremal combinatorial invariants. This study of sparse structures found applications in such diverse areas as algorithmic graph theory, complexity of algorithms, property testing, descriptive complexity and mathematical logic (homomorphism preservation,fixed parameter tractability and constraint satisfaction problems). It should be stressed that despite of its generality this approach leads to linear (and nearly linear) algorithms. Jaroslav Nešetřil is a professor at Charles University, Prague; Patrice Ossona de Mendez is a CNRS researcher et EHESS, Paris. This book is related to the material presented by the first author at ICM 2010.

Author: H.B. Hunt III
Publisher:
ISBN:
Category : Hypergraphs
Languages : en
Pages : 43

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Book Description
Abstract: "We show how various ideas in [SH2] can be used to solve graph and hypergraph coloring problems, including computing chromatic polynomials, for a number of sets [gamma] of graphs and hypergraphs studied in the literature. Often, our algorithms for these problems use much less than 2[superscript cn] time, for any c> 0. This is true, even for sets [gamma], for which these coloring problems are NP- or #P-hard. Our results both extend and unify ideas for solving easier instances of hard graph problems using efficient separator theorems as in [LT2], [GHT], [RaH], etc., and tree-decompositions in [RS], [ALS], [Bodl], [BLW], etc."

Author: Andreas Dress
Publisher: Springer
ISBN: 3540735569
Category : Computers
Languages : en
Pages : 399

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Book Description
Running to almost 400 pages, and featuring more than 40 papers, this work on combinatorial optimization and applications will be seen as an important addition to the literature. It constitutes the refereed proceedings of the first International Conference on Combinatorial Optimization and Applications, COCOA 2007, held in Xi'an, China in August of that year. The 29 revised full papers presented together with 8 invited papers and 2 invited presentations were carefully reviewed and selected from 114 submissions and cover both theoretical issues and practical applications.