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Graphs on surfacesMohar, Bojan, 1956- ; 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 way. 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.Type of material - scientific monographPublication and manufacture - Baltimore ; London : The Johns Hopkins University Press, cop. 2001Language - englishISBN - 0-8018-6689-8COBISS.SI-ID - 10833753
Author
Mohar, Bojan, 1956- |
Thomassen, Carsten
Topics
matematika |
teorija grafov |
graf |
ploskev |
vložitev |
ravninski graf |
zemljevid |
barvanje grafa |
ovire |
povezavna širina |
celična širina |
rod grafa |
minor |
mathematics |
graph theory |
graph |
surface |
embedding |
planar graph |
map |
graph coloring |
obstructions |
edge-width |
face-width |
genus |
minor
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Library | Call number – location, accession no. ... | Copy status |
---|---|---|
National and University Library, Ljubljana | GS 541837 glavno skladišče | available - reading room |
Central Technological Library of the University of Ljubljana | 217391 Skladišče IN: 120012793 |
available - outside loan, loan period: 14 days |
Faculty of Maritime Studies and Transport - Library | čitalnica 519.2 MOHAR Graphs IN: 0009793 |
on loan - outside loan, due date: 03.02.2023
Expected to be available after: 25.07.2024 (1. in queue) |
FMF, Mathematical Library, Lj. | Knjižnica-MAT Diskretna matematika 13207 4 |
available - outside loan, loan period: 1 months |
FMF, Mathematical Library, Lj. | Knjižnica-MAT Diskretna matematika 13207 2 |
available - outside loan, loan period: 1 months |
FMF, Mathematical Library, Lj. | Knjižnica-MAT Diskretna matematika 13207 3 |
available - outside loan, loan period: 1 months |
FMF, Mathematical Library, Lj. | Knjižnica-MAT Diskretna matematika 13207 1 |
available - outside loan, loan period: 1 months |
FMF, Mathematical Library, Lj. | Knjižnica-MAT Diskretna matematika 13207 |
on loan - outside loan, due date: 31.12.2024
Expected to be available after: 03.01.2025 (1. in queue) |
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Mohar, Bojan, 1956- | 01931 |
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