Handbook Of Product Graphs by Richard Hammack, Paperback | Indigo Chapters

Handbook of Product Graphs, Second Editionexamines the dichotomy between the structure of products and their subgraphs. It also features the design of efficient algorithms that recognize products and their subgraphs and explores the relationship between graph parameters of the product and factors. Extensively revised and expanded, the handbook presents full proofs of many important results as well as up-to-date research and conjectures. Results and Algorithms New to the Second Edition:Cancellation resultsA quadratic recognition algorithm for partial cubesResults on the strong isometric dimensionComputing the Wiener index via canonical isometric embeddingConnectivity resultsA fractional version of Hedetniemi's conjectureResults on the independence number of Cartesian powers of vertex-transitive graphsVerification of Vizing's conjecture for chordal graphsResults on minimum cycle basesNumerous selected recent results, such as complete minors and nowhere-zero flowsThe second edition of this classic handbook provides a thorough introduction to the subject and an extensive survey of the field. The first three parts of the book cover graph products in detail. The authors discuss algebraic properties, such as factorization and cancellation, and explore interesting and important classes of subgraphs. The fourth part presents algorithms for the recognition of products and related classes of graphs. The final two parts focus on graph invariants and infinite, directed, and product-like graphs. Sample implementations of selected algorithms and other information are available on the book's website, which can be reached via the authors' home pages. | Handbook Of Product Graphs by Richard Hammack, Paperback | Indigo Chapters