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F. Li and X. Li, “Computational Complexity and Bounds for Neighbor-Scattering Number of Graphs,” 8th International Symposium on Parallel Architectures, Algorithms and Net-works, Las Vegas, 7-9 December 2005, pp. 478-483. doi:10.1109/ISPAN.2005.30

has been cited by the following article:

  • TITLE: Vertex-Neighbor-Scattering Number Of Trees

    AUTHORS: Zongtian Wei, Yong Liu, Anchan Mai

    KEYWORDS: Vertex-Neighbor-Scattering Number, Tree, Path, Star, Comet

    JOURNAL NAME: Advances in Pure Mathematics, Vol.1 No.4, July 26, 2011

    ABSTRACT: A vertex subversion strategy of a graph G=(V,E) is a set of vertices S V(G) whose closed neighborhood is deleted from G . The survival subgraph is denoted by G/S . We call S a cut-strategy of G if G/S is disconnected, or is a clique, or is φ . The vertex-neighbor scattering number of G is defined to be VNS(G)=max{ω(G/S)-|S|} , where S is any cut-strategy of G , and ω(G/G) is the number of the components of G/S . It has been proved that the computing problem of this parameter is NP–complete, so we discuss the properties of vertex-neighbor-scattering number of trees in this paper.