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- W1971095627 abstract "Abstract A minus clique-transversal function of a graph G = ( V , E ) is a function f : V → { - 1 , 0 , 1 } such that ∑ u ∈ V ( C ) f ( u ) ⩾ 1 for every clique C of G. The weight of a minus clique-transversal function is f ( V ) = ∑ f ( v ) , over all vertices v ∈ V . The minus clique-transversal number of a graph G, denoted τ c - ( G ) , equals the minimum weight of a minus clique-transversal function of G. The upper minus clique-transversal number of a graph G, denoted T c - ( G ) , equals the maximum weight of a minimal minus clique-transversal function of G. In this paper, we show that the minus clique-transversal problem (respectively, upper minus clique-transversal problem) is NP-complete even when restricted to chordal graphs. On the other hand, we give a linear algorithm to solve the minus clique-transversal problem for block graphs." @default.
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- W1971095627 date "2007-06-01" @default.
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- W1971095627 title "The algorithmic complexity of the minus clique-transversal problem" @default.
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- W1971095627 doi "https://doi.org/10.1016/j.amc.2006.12.027" @default.
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