Hammack, Richard H.
Handbook of product graphs / Richard Hammack, Wilfried Imrich, Sandi Klavžar. - 2nd ed. - Boca Raton, FL : CRC Press, c2011. - xviii, 518 p. : ill. ; 27 cm. - Discrete mathematics and its applications . - Discrete mathematics and its applications. .
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.
9781439813041 (hardcover : alk. paper) 1439813043 (hardcover : alk. paper)
2011026632
Graph theory.
QA166 / .I47 2011
511.5 / HAH
Handbook of product graphs / Richard Hammack, Wilfried Imrich, Sandi Klavžar. - 2nd ed. - Boca Raton, FL : CRC Press, c2011. - xviii, 518 p. : ill. ; 27 cm. - Discrete mathematics and its applications . - Discrete mathematics and its applications. .
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.
9781439813041 (hardcover : alk. paper) 1439813043 (hardcover : alk. paper)
2011026632
Graph theory.
QA166 / .I47 2011
511.5 / HAH