Topics in Intersection Graph Theory - Brossura

McKee, Terry A.; McMorris, F. R.

 
9780898714302: Topics in Intersection Graph Theory

Sinossi

Finally there is a book that presents real applications of graph theory in a unified format.

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Descrizione del libro

Finally there is a book that presents real applications of graph theory in a unified format. This book is the only source for an extended, concentrated focus on the theory and techniques common to various types of intersection graphs.

Contenuti

Preface; 1. Intersection Graphs. Basic Concepts; Intersection Classes; Parsimonious Set Representations; Clique Graphs; Line Graphs; Hypergraphs; 2. Chordal Graphs. Chordal Graphs as Intersection Graphs; Other Characterizations; Tree Hypergraphs; Some Applications of Chordal Graphs; Split Graphs; 3. Interval Graphs. Definitions and Characterizations; Interval Hypergraphs; Proper Interval Graphs; Some Applications of Interval Graphs; 4. Competition Graphs. Neighborhood Graphs; Competition Graphs; Interval Competition Graphs; Upper Bound Graphs; 5. Threshold Graphs. Definitions and Characterizations; Threshold Graphs as Intersection Graphs; Difference Graphs and Ferrers Digraphs; Some Applications of Threshold Graphs; 6. Other Kinds of Intersection. p-Intersection Graphs; Intersection Multigraphs and Pseudographs; Tolerance Intersection Graphs; 7. Guide to Related Topics. Assorted Geometric Intersection Graphs; Bipartite Intersection Graphs, Intersection Digraphs, and Catch (Di)Graphs; Chordal Bipartite and Weakly Chordal Graphs; Circle Graphs and Permutation Graphs; Clique Graphs of Chordal Graphs and Clique-Helly Graphs; Containment, Comparability, Cocomparability, and Asteroidal Triple-Free Graphs; Infinite Intersection Graphs; Miscellaneous Topics; P4-Free Chordal Graphs and Cographs; Powers of Intersection Graphs; Sphere-of-Influence Graphs; Strongly Chordal Graphs; Bibliography; Index.

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