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The neighbor-scattering number can be computed in polynomial time for interval graphs

2006/03/17 by Fengwei Li, Xueliang Li, Li, Fengwei +1
Computer Science · Mathematics · #Advanced Graph Theory Research #Combinatorics (math.CO) #Complexity and Algorithms in Graphs #Computational Geometry and Mesh Generation #Discrete Mathematics (cs.DM) #F.2.2 #FOS: Computer and information sciences #FOS: Mathematics #G.2.2 #cs.DM #math.CO

paper · pdf · doi:10.48550/arxiv.cs/0603069

13 pages

arxiv created 2006/03/17 · openalex publication_date 2006/03/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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