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A linear time algorithm for weighted k-fair domination problem in cactus graphs [Elektronski vir]Novak, Tina, 1977- ; Žerovnik, Janez, 1958-A set D of vertices in a graph G is a k-fair dominating set if every vertex not in D is adjacent to exactly k vertices in D. The weighted k-fair domination number ▫$wfd_k(G)$▫ of a vertex-weighted ... graph G is the minimum weight w(D) among all k-fair dominating sets D. In addition to the weighted k-fair domination number, some auxiliary parameters are defined. It is shown that for a cactus graph, the weighted k-fair domination number and auxiliary parameters can be calculated in linear time.Source: Operations research forum [Elektronski vir]. - ISSN 2662-2556 (Vol. 3, iss. 3, Sep. 2022, str. 1-29)Type of material - e-articlePublish date - 2022Language - englishCOBISS.SI-ID - 120314883
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Novak, Tina, 1977- | 32686 |
Žerovnik, Janez, 1958- | 03430 |
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