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Topics in Intersection Graph Theory (Monographs on Discrete Mathematics and Applications)
Rok: 1999
ISBN: 9780898714302
OKCZID: 110188276
Citace (dle ČSN ISO 690):
MCKEE, Terry A. Topics in intersection graph theory. Philadelphia, Pa.: SIAM, c1999. viii, 205 p. SIAM monographs on discrete mathematics and applications.
Anotace
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. It is a concise treatment of the aspects of intersection graphs that interconnect many standard concepts and form the foundation of a surprising array of applications to biology, computing, psychology, matrices, and statistics. The authors emphasize the underlying tools and techniques and demonstrate how this approach constitutes a definite theory within graph theory. Some of the applications are not widely known or available in the graph theoretic literature and are presented here for the first time. The book also includes a detailed literature guide for many specialized and related areas, a current bibliography, and more than 100 exercises.Audience:This book is written for students who have completed a basic graph theory course and for mathematicians seeking a guide for graph theory and graph modeling. Anyone working in applications of intersection graphs stands to gain a better understanding of the larger context of the field by reading this book.