2021
DOI: 10.1007/978-3-030-67731-2_7
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Balanced Independent and Dominating Sets on Colored Interval Graphs

Abstract: We study two new versions of independent and dominating set problems on vertex-colored interval graphs, namely f -Balanced Independent Set (f -BIS) and f -Balanced Dominating Set (f -BDS). Let G = (V, E) be an interval graph with a color assignment function γ : V → {1, . . . , k} that maps all vertices in G onto k colors. A subset of vertices S ⊆ V is called f -balanced if S contains f vertices from each color class. In the f -BIS and f -BDS problems, the objective is to compute an independent set or a dominat… Show more

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