101896

,

Richard Hammack, Wilfried Imrich, Sandi Klavezar

2nd ed.

CRC Press,

c2011

xviii, 518 p. : ill. ; 27 cm.

Discrete mathematics and its applications

Extensively revised, reorganized, updated, and expanded ed. of: Product graphs, structure, and recognition / Wilfried Imrich, Sandi Klavezar. 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 Hedetniemiʹs conjecture -- Independence number and Shannon capacity -- Domination and Vizingʹs conjecture -- Cycle spaces and bases -- Selected results -- Infinite graphs -- Products of digraphs -- Near products.

AU Imrich, Wilfried 1941 , AU Klavezar, Sandi 1962 , AU Imrich, Wilfried 1941 , 1941 , 1962 , 1941 , 1941 , 1962 , 1941

511

.52

9781439813041 (hardcover : alk. paper) ,