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Surface triangulations with isometric boundaryFisk, Steve ; Mohar, Bojan, 1956-Triangulacija ▫$T$▫ ploskve ▫$S$▫ z robom ▫$\partial S$▫ je izometrična, če je grafovska razdalja med poljubnima točkama ▫$x,y$▫ na isti komponenti ▫$\partial S$▫ v celem grafu ▫$T$▫ enaka razdalji ... med ▫$x$▫ in ▫$y$▫ v ▫$T\cap \partial S$▫. Če je ▫$T$▫ izometrična triangulacija diska, tedaj je pokazano, da je ▫$|V(T|=\Omega (n^2)$▫, kjer je ▫$n$▫ število točk na robu. Izometrična triangulacija je ireducibilna, če stisnitev poljubne povezave da neizometrično triangulacijo ali pa spremeni ploskev. Dokazano je, da ima vsaka ploskev ▫$S$▫ le končno mnogo ireducibilnih triangulacij z danim številom ▫$n$▫ točk na robu.Source: Preprint series. - ISSN 1318-4865 (Let. 29, št. 345, 1991, str. 1-17)Type of material - article, component partPublish date - 1991Language - englishCOBISS.SI-ID - 59682816
Author
Fisk, Steve |
Mohar, Bojan, 1956-
Topics
matematika |
teorija grafov |
grafi na ploskvah |
triangulacija ploskev |
mathematics |
combinatorics |
graph theory |
graphs on surfaces |
surface triangulations
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Database name | Field | Year |
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Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
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Fisk, Steve | 11718 |
Mohar, Bojan, 1956- | 01931 |
Source: Personal bibliographies
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