Product graphs. Structure and recognition.pdf

Product graphs. Structure and recognition

Sandi Klavzar

Addressing the growing usefulness of current methods for recognizing product graphs, this new work presents a much-needed, systematic treatment of the Cartesian, strong, direct, and lexicographic products of graphs as well as graphs isometrically embedded into them. Written by two leading experts in this rapidly evolving area of combinatorics, Product Graphs : Structure and Recognition compiles and consolidates a wealth of information previously scattered throughout the literature, providing researchers in the field with ready access to numerous recent results as well as several new recognition algorithms and proofs. The authors explain all topics from the ground up and make the requisite theory and data structures easily accessible for mathematicians and computer scientists alike. Coverage includes the basic algebraic and combinatorial properties of product graphs. Hypercubes, median graphs, Hamming graphs, triangle-free graphs, and vertex-transitive graphs. Colorings, automorphisms, homomorphisms, domination, and the capacity of products of graphs. Sample applications, including novel applications to chemical graph theory. Proofs and algorithms presented at varying levels of difficulty. Clear connections to other areas of graph theory. Figures, exercises, and hundreds of references.

24 Nov 2017 ... For a vertex property P and a graph G, a set S of vertices of G is a ... of generalized lexicographic product graphs in some vertex properties. isometric embedding of a given median graph in a hypercube of least possible dimension. These have structures similar to those of the respective recognition ...

6.61 MB Taille du fichier
9780471370390 ISBN
Product graphs. Structure and recognition.pdf

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Notes actuelles

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Sofya Voigtuh

Product graphs : structure and recognition: Author(s) Imrich, W; Klavzar, Sandi: Publication New York, NY : Wiley, 2000. - 358 p. Series (Discrete mathematics and optimization) Subject code 519.17: Subject category Mathematical Physics and Mathematics: Keywords Cartesian products; Hamming graphs; graph theory; hypercubes: ISBN 0471370398 (This book at Amazon) 9780471370390 (This book at Amazon Recent Developments on the Structure of Cartesian Products ...

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Mattio Müllers

Product Graphs : Structure and Recognition - Book …

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Noels Schulzen

24 Nov 2017 ... For a vertex property P and a graph G, a set S of vertices of G is a ... of generalized lexicographic product graphs in some vertex properties.

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Jason Leghmann

Product Graphs, Structure and Recognition | …

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Jessica Kolhmann

Buy Product Graphs: Structure and Recognition (Wiley Series in Discrete Mathematics and Optimization) by Imrich, Wilfried, Klav&zcaron AR, Sandi, Klavž Ar, Sandi (ISBN: 9780471370390) from Amazon's Book Store. Everyday low prices and free delivery on eligible orders. Product Graphs, Structure and Recognition by …