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Handbook of product graphs /

by Hammack, Richard H; Imrich, Wilfried; Klavžar, Sandi; Imrich, Wilfried.
Material type: materialTypeLabelBookSeries: Discrete mathematics and its applications: Publisher: Boca Raton, FL : CRC Press, c2011Edition: 2nd ed.Description: xviii, 518 p. : ill. ; 27 cm.ISBN: 9781439813041 (hardcover : alk. paper); 1439813043 (hardcover : alk. paper).Subject(s): Graph theory
Contents:
Graphs -- Automorphisms and invariants -- Hypercubes and isometric subgraphs -- Graph products -- The four standard graph products -- Cartesian product -- Strong product -- Direct product -- Cancellation -- Lexicographic product -- The relation O and partial cubes -- Median graphs -- The canonical isometric embedding -- A dynamic location problem -- Isometries in strong products and product dimensions -- Fixed box theorems -- Graph representation and algorithms -- Recognizing hypercubes and partial cubes -- Chemical graphs and the Wiener index -- Arboricity, squares and triangles -- Recognizing median graphs -- Recognizing partial hamming graphs and quasi-median graphs -- Factoring the Cartesian product -- Recognizing direct, strong and lexicographic products -- Connectivity -- Coloring and Hedetniemi's conjecture -- Independence number and Shannon capacity -- Domination and Vizing's conjecture -- Cycle spaces and bases -- Selected results -- Infinite graphs -- Products of digraphs -- Near products.
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Non Fiction 511.5 HAH (Browse shelf) 1 Available 476166

Extensively revised, reorganized, updated, and expanded ed. of: Product graphs, structure, and recognition / Wilfried Imrich, Sandi Klavžar. 2011.

Includes bibliographical references and indexes.

Graphs -- Automorphisms and invariants -- Hypercubes and isometric subgraphs -- Graph products -- The four standard graph products -- Cartesian product -- Strong product -- Direct product -- Cancellation -- Lexicographic product -- The relation O and partial cubes -- Median graphs -- The canonical isometric embedding -- A dynamic location problem -- Isometries in strong products and product dimensions -- Fixed box theorems -- Graph representation and algorithms -- Recognizing hypercubes and partial cubes -- Chemical graphs and the Wiener index -- Arboricity, squares and triangles -- Recognizing median graphs -- Recognizing partial hamming graphs and quasi-median graphs -- Factoring the Cartesian product -- Recognizing direct, strong and lexicographic products -- Connectivity -- Coloring and Hedetniemi's conjecture -- Independence number and Shannon capacity -- Domination and Vizing's conjecture -- Cycle spaces and bases -- Selected results -- Infinite graphs -- Products of digraphs -- Near products.

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Last Updated on September 15, 2019
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