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Graphs on Surfaces

Szerző: Bojan Mohar, Carsten Thomassen

Nyelv:

Kötés: Kemény kötésű

Kiadó: Johns Hopkins University Press

Elérhetőség: Beszállítói készleten

Küldés 10-18 napon belül

36 927 Ft

Graph theory is one of the fastest growing branches of mathematics. Until recently, it was regarded...

Információk a könyvről

Szerző

Bojan Mohar, Carsten Thomassen

Nyelv

Angol

Kötés

Könyv - Kemény kötésű

Kiadva

2001

oldal

304

EAN

9780801866890

ISBN

0801866898

Enbook ID

04709062

Kiadó

Johns Hopkins University Press

Súly

612

Méretek

157 x 236 x 25

Teljes leírás

Graph theory is one of the fastest growing branches of mathematics. Until recently, it was regarded as a branch of combinatorics and was best known by the famous four-color theorem stating that any map can be colored using only four colors such that no two bordering countries have the same color. Now graph theory is an area of its own with many deep results and beautiful open problems. Graph theory has numerous applications in almost every field of science and has attracted new interest because of its relevance to such technological problems as computer and telephone networking and, of course, the internet. In this new book in the Johns Hopkins Studies in the Mathematical Science series, Bojan Mohar and Carsten Thomassen look at a relatively new area of graph theory: that associated with curved surfaces. Graphs on surfaces form a natural link between discrete and continuous mathematics. The book provides a rigorous and concise introduction to graphs on surfaces and surveys some of the recent developments in this area. Among the basic results discussed are Kuratowski's theorem and other planarity criteria, the Jordan Curve Theorem and some of its extensions, the classification of surfaces, and the Heffter-Edmonds-Ringel rotation principle, which makes it possible to treat graphs on surfaces in a purely combinatorial way. The genus of a graph, contractability of cycles, edge-width, and face-width are treated purely combinatorially, and several results related to these concepts are included. The extension by Robertson and Seymour of Kuratowski's theorem to higher surfaces is discussed in detail, and a shorter proof is presented. The book concludes with a survey of recent developments on coloring graphs on surfaces.

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Graphs on Surfaces

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