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Computing the Weighted Isolated Scattering Number of Interval Graphs in Polynomial Time

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  • Fengwei Li
  • Xiaoyan Zhang
  • Qingfang Ye
  • Yuefang Sun

Abstract

The scattering number and isolated scattering number of a graph have been introduced in relation to Hamiltonian properties and network vulnerability, and the isolated scattering number plays an important role in characterizing graphs with a fractional 1-factor. Here we investigate the computational complexity of one variant, namely, the weighted isolated scattering number. We give a polynomial time algorithm to compute this parameter of interval graphs, an important subclass of perfect graphs.

Suggested Citation

  • Fengwei Li & Xiaoyan Zhang & Qingfang Ye & Yuefang Sun, 2019. "Computing the Weighted Isolated Scattering Number of Interval Graphs in Polynomial Time," Complexity, Hindawi, vol. 2019, pages 1-8, March.
    • Handle: RePEc:hin:complx:4318261
    DOI: 10.1155/2019/4318261
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