Items related to Modern Graph Theory: Vol 184 (Graduate Texts in Mathematics)
Synopsis
This text is an in-depth account of graph theory. It reflects the current state of the subject and emphasizes connections with other branches of pure mathematics. Recognizing that graph theory is one of several courses competing for the attention of a student, the book contains descriptive passages designed to convey the flavour of the subject and to arouse interest. In addition to a modern treatment of the classical areas of graph theory such as colouring, matching, extremal theory, and algebraic graph theory, the book presents an account of newer topics, including: Szemer'edi's Regularity Lemma and its use; Shelah's extension of the Hales-Jewett Theorem; the precise nature of the phase transition in a random graph process; the connection between electrical networks and random walks on graphs; and the Tutte polynomial and its cousins in knot theory.
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Review
"...This book is likely to become a classic, and it deserves to be on the shelf of everyone working in graph theory or even remotely related areas, from graduate student to active researcher."--MATHEMATICAL REVIEWS
Synopsis
This text is an in-depth account of graph theory. It reflects the current state of the subject and emphasizes connections with other branches of pure mathematics. Recognizing that graph theory is one of several courses competing for the attention of a student, the book contains descriptive passages designed to convey the flavour of the subject and to arouse interest. In addition to a modern treatment of the classical areas of graph theory such as colouring, matching, extremal theory, and algebraic graph theory, the book presents an account of newer topics, including: Szemer'edi's Regularity Lemma and its use; Shelah's extension of the Hales-Jewett Theorem; the precise nature of the phase transition in a random graph process; the connection between electrical networks and random walks on graphs; and the Tutte polynomial and its cousins in knot theory.
"About this title" may belong to another edition of this title.