Linear-Time Algorithms for Scattering Number and Hamilton-Connectivity of Interval Graphs
نویسندگان
چکیده
منابع مشابه
Linear-Time Algorithms for Scattering Number and Hamilton-Connectivity of Interval Graphs
We show that for all k ≤ −1 an interval graph is −(k + 1)Hamilton-connected if and only if its scattering number is at most k. We also give an O(n +m) time algorithm for computing the scattering number of an interval graph with n vertices and m edges, which improves the O(n) time bound of Kratsch, Kloks and Müller. As a consequence of our two results the maximum k for which an interval graph is...
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In a graph G, a vertex subset S ⊆ V (G) is said to be a dominating set of G if every vertex not in S is adjacent to a vertex in S. A dominating set S of a graph G is called a paired-dominating set if the induced subgraph G[S] contains a perfect matching. The paired-domination problem involves finding a smallest paired-dominating set of G. Given an intersection model of an interval graph G with ...
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متن کاملThe neighbor-scattering number can be computed in polynomial time for interval graphs
Neighbor-scattering number is a useful measure for graph vulnerability. For some special kinds of graphs, explicit formulas are given for this number. However, for general graphs it is shown that to compute this number is NP-complete. In this paper, we prove that for interval graphs this number can be computed in polynomial time. Keyworks: neighbor-scattering number, interval graph, consecutive...
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ژورنال
عنوان ژورنال: Journal of Graph Theory
سال: 2014
ISSN: 0364-9024
DOI: 10.1002/jgt.21832