DMTCS Proceedings, 2005 European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05)

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DMTCS Conference vol AE (2005), pp. 123-128

DMTCS

2005 European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05)

Stefan Felsner (ed.)

DMTCS Conference Volume AE (2005), pp. 123-128


author: Drago Bokal, Gašper Fijavž and Bojan Mohar
title: Minor-monotone crossing number
keywords: crossing number, graph minor, minor-monotone graph parameter
abstract: The minor crossing number of a graph
G
,
mcr
(G)
, is defined as the minimum crossing number of all graphs that contain
G
as a minor. We present some basic properties of this new minor-monotone graph invariant. We give estimates on
mcr
for some important graph families using the topological structure of graphs satisfying
mcr
(G) ≤k
.
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reference: Drago Bokal and Gašper Fijavž and Bojan Mohar (2005), Minor-monotone crossing number, in 2005 European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05), Stefan Felsner (ed.), Discrete Mathematics and Theoretical Computer Science Proceedings AE, pp. 123-128
bibtex: For a corresponding BibTeX entry, please consider our BibTeX-file.
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