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On minimizing the number of label transitions around a vertex of a planar graphŠkoda, Petr ; Mohar, Bojan, 1956-We study the minimum number of label transitions around a given vertex ▫$v_0$▫ in a planar multigraph ▫$G$▫ in which the edges incident with ▫$v_0$▫ are labelled with integers ▫$1,\dots, l$▫, where ... the minimum is taken over all embeddings of ▫$G$▫ in the plane. For a fixed number of labels, a linear-time FPT algorithm that (given the labels around ▫$v_0$▫) computes the minimum number of label transitions around ▫$v_0$▫ is presented. If the number of labels is unconstrained, then the problem of deciding whether the minimum number of label transitions is at most ▫$k$▫ is NP-complete.Source: Combinatorial algorithms : 22nd International Workshop, IWOCA 2011, Vancouver, BC, Canada, July 20-22, 2011 : revised selected papers (Str. 300-309)Type of material - conference contributionPublish date - 2011Language - englishCOBISS.SI-ID - 16228441
Author
Škoda, Petr |
Mohar, Bojan, 1956-
Topics
matematika |
teorija grafov |
ravninski grafi |
mathematics |
graph theory |
label transitions |
planar graph |
fixed-parameter tractable
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Škoda, Petr | ![]() |
Mohar, Bojan, 1956- | 01931 |
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