Hammack, Richard H. creator Imrich, Wilfried 1941- Klavžar, Sandi 1962- text bibliography flu Boca Raton, FL CRC Press c2011 2011 2nd ed. monographic eng

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xviii, 518 p. : ill. ; 27 cm. 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. Richard Hammack, Wilfried Imrich, Sandi Klavžar. Extensively revised, reorganized, updated, and expanded ed. of: Product graphs, structure, and recognition / Wilfried Imrich, Sandi Klavžar. 2011. Includes bibliographical references and indexes. Graph theory QA166 .I47 2011 511.5 HAH Imrich, Wilfried, 1941- 9781439813041 (hardcover : alk. paper) 1439813043 (hardcover : alk. paper) 2011026632 DLC 110725 20150202120106.0 16887985