Handbook of product graphs

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 i...

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Bibliographische Detailangaben
1. Verfasser: Hammack, Richard (VerfasserIn)
Weitere Verfasser: Imrich, Wilfried (VerfasserIn), Klavžar, Sandi (VerfasserIn)
Format: UnknownFormat
Sprache:eng
Veröffentlicht: Boca Raton CRC Press, Taylor&Francis Group 2011
London Taylor & Francis distributor 2011
Ausgabe:2. edition
Schriftenreihe:Discrete mathematics and its applications
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Beschreibung
Zusammenfassung: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.
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
Beschreibung:Previous ed.: New York: Wiley, 2000. - Includes bibliographical references and index
Beschreibung:xviii, 518 Seiten
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ISBN:9781439813041
978-1-4398-1304-1
1439813043
1-4398-1304-3