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Graphs on surfacesMohar, Bojan ; Thomassen, CarstenGraphs on surfaces form a natural link between discrete and continuous mathematics. The book provides a rigorous introduction to graphs on surfaces and surveys some of the recent developments in this ... area. Among the basic results discusses are Kuratowski's theorem and other planarity criteria, the Jordan Curve Theorem and some of its extensions, the classification of surfaces, and the Heffter-Edmonts-Ringel rotation principle, which makes it possible to treat graphs on surfaces in a purely combinatorial wey. The genus of 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.Vrsta gradiva - znanstvena monografijaZaložništvo in izdelava - Baltimore ; London : The Johns Hopkins University Press, 2001Jezik - angleškiISBN - 0-8018-6689-8COBISS.SI-ID - 10833753
Avtor
Mohar, Bojan |
Thomassen, Carsten
Teme
matematika |
teorija grafov |
ravninski grafi |
ploskve |
vložitve |
širina vložitve |
ovire za vložitev |
barvanje grafov |
mathematics |
graph theory |
planar graphs |
surfaces |
embeddings |
width of embeddings |
embedding extensions |
embedding obstructions |
coloring
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Signatura – lokacija, inventarna št. ... |
Status izvoda | Rezervacija |
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čitalnica 519.2 MOHAR Graphs IN: 0009793 čitalnica 519.2 MOHAR Graphs IN: 0009793 |
izposojeno - na dom, rok vrnitve: 03.02.2023
Predvidoma na voljo po: 12.09.2024 (1. v čakalni vrsti) |
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