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Stable sets in ▫$\{{\rm ISK_4, wheel}\}$▫-free graphsMilanič, Martin, 1980- ; Penev, Irena, 1983- ; Trotignon, NicolasAn ISK4 in a graph ▫$G$▫ is an induced subgraph of ▫$G$▫ that is isomorphic to a subdivision of ▫$K_4$▫ (the complete graph on four vertices). A wheel is a graph that consists of a chordless cycle, ... together with a vertex that has at least three neighbors in the cycle. A graph is {ISK4,wheel}-free if it has no ISK4 and does not contain a wheel as an induced subgraph. We give an ▫$O(|V(G)|^7)$▫-time algorithm to compute the maximum weight of a stable set in an input weighted {ISK4,wheel}-free graph ▫$G$▫ with non-negative integer weights.Source: Algorithmica. - ISSN 0178-4617 (Vol. 80, iss. 2, Feb. 2018, str. 415-447)Type of material - article, component part ; adult, seriousPublish date - 2018Language - englishCOBISS.SI-ID - 17896793
Author
Milanič, Martin, 1980- |
Penev, Irena, 1983- |
Trotignon, Nicolas
Topics
neodvisna množica |
problem najtežje neodvisne množice |
polinomski algoritem |
{ISK4, kolo}-prost graf |
stable set |
independent set |
maximum weight independent set problem |
maximum weight stable set problem |
polynomial time algorithm |
{ISK4,wheel}-free graph
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Milanič, Martin, 1980- | 30211 |
Penev, Irena, 1983- | ![]() |
Trotignon, Nicolas | ![]() |
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