Handbook of Graph Theory and Applications

Handbook of Graph Theory and Applications

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The Handbook of Graph Theory is the most comprehensive single-source guide to graph theory ever published. Best-selling authors Jonathan Gross and Jay Yellen assembled an outstanding team of experts to contribute overviews of more than 50 of the most significant topics in graph theory-including those related to algorithmic and optimization approaches as well as "pure" graph theory. They then carefully edited the compilation to produce a unified, authoritative work ideal for ready reference. Designed and edited with non-experts in mind, the Handbook of Graph Theory makes information easy to find and easy to understand. The treatment of each topic includes lists of essential definitions and facts accompanied by examples, tables, remarks, and in some areas, conjectures and open problems. Each section contains a glossary of terms relevant to that topic and an extensive bibliography of references that collectively form an extensive guide to the primary research literature. The applications of graph theory are fast becoming ubiquitous.
Whether your primary area of interest lies in mathematics, computer science, engineering, or operations research, this handbook holds the key to unlocking graph theory's intricacies, applications, and potential.
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Product details

  • Hardback | 1192 pages
  • 180.34 x 259.08 x 71.12mm | 2,018.48g
  • Taylor & Francis Inc
  • CRC Press Inc
  • Bosa Roca, United States
  • English
  • 379 black & white illustrations, 29 black & white tables
  • 1584880902
  • 9781584880905
  • 1,647,623

Review quote

"[This] is a fine guide to various literatures, especially for topics like Ramsey theory . Many first-rate mathematicians have contributed, making the exposition's quality high overall. . Summing Up: Highly recommended." - CHOICE, January 2005, Vol. 42, No. 05
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Table of contents

INTRODUCTION TO GRAPHS Fundamentals of Graph Theory, Jonathan L. Gross and Jay Yellen Families of Graphs and Digraphs, Lowell W. Beineke History of Graph Theory, Robin J. Wilson GRAPH REPRESENTATION Computer Representation of Graphs, Alfred V. Aho The Graph Isomorphism Problem, Mark Goldberg The Reconstruction Problem, Josef Lauri Recursively Constructed Graphs, R.B. Borie, R. Gary Parker, and C.A. Tovey DIRECTED GRAPHS Basic Digraph Models and Properties, Jay Yellen Directed Acyclic Graphs, Stephen B. Maurer Tournaments, K.B. Reid CONNECTIVITY AND TRAVERSABILITY Connectivity: Properties and Structure, Josep Fabrega and Miguel Angel Fiol Eulerian Graphs, Herbert Fleischner Chinese Postman Problems, R. Gary Parker DeBruijn Graphs and Sequences, A.K. Dewdney Hamiltonian Graphs, Ronald J. Gould Traveling Salesman Problems, Gregory Gutin Further Topics in Connectivity, Josep Fabrega and Miguel Angel Fiol COLORINGS AND RELATED TOPICS Graph Coloring, Zsolt Tuza Further Topics in Graph Coloring, Zsolt Tuza Independent Sets and Cliques, Gregory Gutin Factors and Factorization, Michael Plummer Perfect Graphs, Alan Tucker Applications to Timetabling, Edmund Burke, Dominique de Werra, and Jeffrey Kingston ALGEBRAIC GRAPH THEORY Automorphisms, Mark E. Watkins Cayley Graphs, Brian Alspach Enumeration, Paul K. Stockmeyer Graphs and Vector Spaces, Krishnaiyan "KT" Thulasiraman Spectral Graph Theory, Michael Doob Matroidal Methods in Graph Theory, James Oxley TOPOLOGICAL GRAPH THEORY Graphs on Surfaces, Tomaz Pisanski and Primoz Potocnik Minimum and Maximum Imbeddings, Jianer Chen Genus Distribution, Jonathan L. Gross Voltage Graphs, Jonathan L. Gross Genus of a Group, Thomas W. Tucker Maps, Andrew Vince Representativity, Dan Archdeacon Triangulations, Seiya Negami Graphs and Finite Geometries, Arthur T. White ANALYTIC GRAPH THEORY Extremal Graph Theory, Bela Bollobas and Vladimir Nikiforov Random Graphs, Nicholas Wormald Ramsey Graph Theory, Ralph Faudree Probabilistic Methods, Alan Frieze GRAPHICAL MEASUREMENT Distance in Graphs, Gary Chartrand and Ping Zhang Domination in Graphs, Teresa W. Haynes and Michael A. Henning Tolerance Graphs, F.R. McMorris Bandwidth, Robert C. Brigham GRAPHS IN COMPUTER SCIENCE Searching, Harold N. Gabow Dynamic Graph Algorithms, C. Demetrescu, I. Finocchi, and G.F. Italiano Drawings of Graphs, Giuseppe Liotta and Roberto Tamassia Algorithms on Recursively Constructed Graphs, R.B. Borie, R. Gary Parker, and C.A. Tovey NETWORKS AND FLOWS Maximum Flows, Clifford Stein Minimum Cost Flows, Lisa Fleischer Matchings and Assignments, Douglas R. Shier Communication Network Design Models, Prakash Mirchandani and David Simchi-Levi
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