Minimum Weighted Feedback Vertex Set on Diamonds

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Minimum Weighted Feedback Vertex Set on Diamonds

Given a vertex weighted graph G, a minimum Weighted Feedback Vertex Set (MWFVS) is a subset F ⊆ V of vertices of minimum weight such that each cycle in G contains at least one vertex in F . The MWFVS on general graph is known to be NP-hard. In this paper we introduce a new class of graphs, namely the diamond graphs, and give a linear time algorithm to solve MWFVS on it. We will discuss, moreove...

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ژورنال

عنوان ژورنال: Electronic Notes in Discrete Mathematics

سال: 2004

ISSN: 1571-0653

DOI: 10.1016/j.endm.2004.09.001