Minimal split completions
نویسندگان
چکیده
منابع مشابه
Minimal split completions
We study the problem of adding an inclusion minimal set of edges to a given arbitrary graph so that the resulting graph is a split graph, called a minimal split completion of the input graph. Minimal completions of arbitrary graphs into chordal and interval graphs have been studied previously, and new results have been added recently. We extend these previous results to split graphs by giving a...
متن کاملMinimal Split Completions of Graphs
We study the problem of adding edges to a given arbitrary graph so that the resulting graph is a split graph, called a split completion of the input graph. Our purpose is to add an inclusion minimal set of edges to obtain a minimal split completion, which means that no proper subset of the added edges is sufficient to create a split completion. Minimal completions of arbitrary graphs into chord...
متن کاملMinimal Interval Completions
We study the problem of adding edges to an arbitrary graph so that the resulting graph is an interval graph. Our objective is to add an inclusion minimal set of edges, which means that no proper subset of the added edges can result in an interval graph when added to the original graph. This problem is closely related to the problem of adding an inclusion minimal set of edges to a graph to obtai...
متن کاملMinimal comparability completions
We study the problem of adding edges to a given arbitrary graph so that the resulting graph is a comparability graph, called a comparability completion of the input graph. Computing a comparability completion with the minimum possible number of added edges is an NP-hard problem. Our purpose here is to add an inclusion minimal set of edges to obtain a minimal comparability completion, which mean...
متن کاملMinimal Proper Interval Completions
Given an arbitrary graph G = (V,E) and a proper interval graph H = (V, F ) with E ⊆ F we say that H is a proper interval completion of G. The graph H is called a minimal proper interval completion of G if, for any sandwich graph H ′ = (V, F ′) with E ⊆ F ′ ⊂ F , H ′ is not a proper interval graph. In this paper we give a O(n+m) time algorithm computing a minimal proper interval completion of an...
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ژورنال
عنوان ژورنال: Discrete Applied Mathematics
سال: 2009
ISSN: 0166-218X
DOI: 10.1016/j.dam.2008.08.010