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Graphs, Combinatorics, Algorithms and Applications

Graphs, Combinatorics, Algorithms and Applications
Author: S. Arumugam
Publisher: Alpha Science Int'l Ltd.
Total Pages: 204
Release: 2005
Genre: Algorithms
ISBN: 9788173196126

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Graphs, Combinatorics, Algorithms and Applications: The research papers contributed by leading experts in their respective field discusses current areas of research in graph theory such as: Graphoidal covers Hyper graphs Domination in graph Signed graphs Graph labelings and Theoretical computer science This volume will serve as an excellent reference for experts and research scholars working in Graph Theory and related topics.


Graph Theory, Combinatorics and Algorithms

Graph Theory, Combinatorics and Algorithms
Author: Martin Charles Golumbic
Publisher: Springer Science & Business Media
Total Pages: 296
Release: 2006-03-30
Genre: Mathematics
ISBN: 0387250360

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Graph Theory, Combinatorics and Algorithms: Interdisciplinary Applications focuses on discrete mathematics and combinatorial algorithms interacting with real world problems in computer science, operations research, applied mathematics and engineering. The book contains eleven chapters written by experts in their respective fields, and covers a wide spectrum of high-interest problems across these discipline domains. Among the contributing authors are Richard Karp of UC Berkeley and Robert Tarjan of Princeton; both are at the pinnacle of research scholarship in Graph Theory and Combinatorics. The chapters from the contributing authors focus on "real world" applications, all of which will be of considerable interest across the areas of Operations Research, Computer Science, Applied Mathematics, and Engineering. These problems include Internet congestion control, high-speed communication networks, multi-object auctions, resource allocation, software testing, data structures, etc. In sum, this is a book focused on major, contemporary problems, written by the top research scholars in the field, using cutting-edge mathematical and computational techniques.


Combinatorial Algorithms

Combinatorial Algorithms
Author: Donald L. Kreher
Publisher: CRC Press
Total Pages: 346
Release: 1998-12-18
Genre: Mathematics
ISBN: 9780849339882

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This textbook thoroughly outlines combinatorial algorithms for generation, enumeration, and search. Topics include backtracking and heuristic search methods applied to various combinatorial structures, such as: Combinations Permutations Graphs Designs Many classical areas are covered as well as new research topics not included in most existing texts, such as: Group algorithms Graph isomorphism Hill-climbing Heuristic search algorithms This work serves as an exceptional textbook for a modern course in combinatorial algorithms, providing a unified and focused collection of recent topics of interest in the area. The authors, synthesizing material that can only be found scattered through many different sources, introduce the most important combinatorial algorithmic techniques - thus creating an accessible, comprehensive text that students of mathematics, electrical engineering, and computer science can understand without needing a prior course on combinatorics.


Graphs, Networks and Algorithms

Graphs, Networks and Algorithms
Author: Dieter Jungnickel
Publisher: Springer Science & Business Media
Total Pages: 597
Release: 2013-06-29
Genre: Mathematics
ISBN: 3662038226

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Revised throughout Includes new chapters on the network simplex algorithm and a section on the five color theorem Recent developments are discussed


Sparsity

Sparsity
Author: Jaroslav Nešetřil
Publisher: Springer Science & Business Media
Total Pages: 472
Release: 2012-04-24
Genre: Mathematics
ISBN: 3642278752

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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.


Graph Algorithms and Applications 3

Graph Algorithms and Applications 3
Author: Giuseppe Liotta
Publisher: World Scientific
Total Pages: 418
Release: 2004-01-01
Genre: Mathematics
ISBN: 9789812796608

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This book contains Volume 6 of the Journal of Graph Algorithms and Applications (JGAA) . JGAA is a peer-reviewed scientific journal devoted to the publication of high-quality research papers on the analysis, design, implementation, and applications of graph algorithms. Areas of interest include computational biology, computational geometry, computer graphics, computer-aided design, computer and interconnection networks, constraint systems, databases, graph drawing, graph embedding and layout, knowledge representation, multimedia, software engineering, telecommunications networks, user interfaces and visualization, and VLSI circuit design. Graph Algorithms and Applications 3 presents contributions from prominent authors and includes selected papers from the Symposium on Graph Drawing (1999 and 2000). All papers in the book have extensive diagrams and offer a unique treatment of graph algorithms focusing on the important applications. Contents: Triangle-Free Planar Graphs and Segment Intersection Graphs (N de Castro et al.); Traversing Directed Eulerian Mazes (S Bhatt et al.); A Fast Multi-Scale Method for Drawing Large Graphs (D Harel & Y Koren); GRIP: Graph Drawing with Intelligent Placement (P Gajer & S G Kobourov); Graph Drawing in Motion (C Friedrich & P Eades); A 6-Regular Torus Graph Family with Applications to Cellular and Interconnection Networks (M Iridon & D W Matula); and other papers. Readership: Researchers and practitioners in theoretical computer science, computer engineering, and combinatorics and graph theory.


Graph Theory, Combinatorics, Algorithms, and Applications

Graph Theory, Combinatorics, Algorithms, and Applications
Author: Y. Alavi
Publisher:
Total Pages: 656
Release: 1991
Genre: Mathematics
ISBN:

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The Conference participants included research mathematicians and computer scientists from colleges, universities, and industry, representing various countries. China, which hosted the First International Conference in 1986, is particularly well-represented. The 58 contributions to this proceedings v


Theory and Application of Graphs

Theory and Application of Graphs
Author: Junming Xu
Publisher: Springer Science & Business Media
Total Pages: 343
Release: 2013-11-27
Genre: Mathematics
ISBN: 1441986987

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In the spectrum of mathematics, graph theory which studies a mathe matical structure on a set of elements with a binary relation, as a recognized discipline, is a relative newcomer. In recent three decades the exciting and rapidly growing area of the subject abounds with new mathematical devel opments and significant applications to real-world problems. More and more colleges and universities have made it a required course for the senior or the beginning postgraduate students who are majoring in mathematics, computer science, electronics, scientific management and others. This book provides an introduction to graph theory for these students. The richness of theory and the wideness of applications make it impossi ble to include all topics in graph theory in a textbook for one semester. All materials presented in this book, however, I believe, are the most classical, fundamental, interesting and important. The method we deal with the mate rials is to particularly lay stress on digraphs, regarding undirected graphs as their special cases. My own experience from teaching out of the subject more than ten years at University of Science and Technology of China (USTC) shows that this treatment makes hardly the course di:fficult, but much more accords with the essence and the development trend of the subject.


Graph Algorithms and Applications 2

Graph Algorithms and Applications 2
Author: Giuseppe Liotta
Publisher: World Scientific
Total Pages: 534
Release: 2004
Genre: Computers
ISBN: 9789812794741

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This book contains Volumes 4 and 5 of the Journal of Graph Algorithms and Applications (JGAA) . The first book of this series, Graph Algorithms and Applications 1, published in March 2002, contains Volumes 1OCo3 of JGAA . JGAA is a peer-reviewed scientific journal devoted to the publication of high-quality research papers on the analysis, design, implementation, and applications of graph algorithms. Areas of interest include computational biology, computational geometry, computer graphics, computer-aided design, computer and interconnection networks, constraint systems, databases, graph drawing, graph embedding and layout, knowledge representation, multimedia, software engineering, telecommunications networks, user interfaces and visualization, and VLSI circuit design. The journal is supported by distinguished advisory and editorial boards, has high scientific standards, and takes advantage of current electronic document technology. The electronic version of JGAA is available on the Web at http: //jgaa.info/. Graph Algorithms and Applications 2 presents contributions from prominent authors and includes selected papers from the Dagstuhl Seminar on Graph Algorithms and Applications and the Symposium on Graph Drawing in 1998. All papers in the book have extensive diagrams and offer a unique treatment of graph algorithms focusing on the important applications. Contents: Approximations of Weighted Independent Set and Hereditary Subset Problems (M M Halldrsson); Approximation Algorithms for Some Graph Partitioning Problems (G He et al.); Geometric Thickness of Complete Graphs (M B Dillencourt et al.); Techniques for the Refinement of Orthogonal Graph Drawings (J M Six et al.); Navigating Clustered Graphs Using Force-Directed Methods (P Eades & M L Huang); Clustering in Trees: Optimizing Cluster Sizes and Number of Subtrees (S E Hambrusch et al.); Planarizing Graphs OCo A Survey and Annotated Bibliography (A Liebers); Fully Dynamic 3-Dimensional Orthogonal Graph Drawing (M Closson et al.); 1-Bend 3-D Orthogonal Box-Drawings: Two Open Problems Solved (T Biedl); Computing an Optimal Orientation of a Balanced Decomposition Tree for Linear Arrangement Problems (R Bar-Yehuda et al.); New Bounds for Oblivious Mesh Routing (K Iwama et al.); Connectivity of Planar Graphs (H de Fraysseix & P O de Mendez); and other papers. Readership: Researchers and practitioners in theoretical computer science, computer engineering, and combinatorics and graph theory."