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A polynomial algorithm for computing the weak rupture degree of trees

Author

Listed:
  • Wei, Zongtian
  • Yue, Chao
  • Li, Yinkui
  • Yue, Hongyun
  • Liu, Yong

Abstract

Let G=(V,E) be a graph. The weak rupture degree of G is defined as rw(G)=max{ω(G−X)−|X|−me(G−X):ω(G−X)>1}, where the maximum is taken over all X, the subset of V(G), ω(G−X) is the number of components in G−X, and me(G−X) is the size (edge number) of a largest component in G−X. This is an important parameter to quantitatively describe the invulnerability of networks. In this paper, based on a study of relationship between network structure and the weak rupture degree, a polynomial algorithm for computing the weak rupture degree of trees is given.

Suggested Citation

  • Wei, Zongtian & Yue, Chao & Li, Yinkui & Yue, Hongyun & Liu, Yong, 2019. "A polynomial algorithm for computing the weak rupture degree of trees," Applied Mathematics and Computation, Elsevier, vol. 361(C), pages 730-734.
    • Handle: RePEc:eee:apmaco:v:361:y:2019:i:c:p:730-734
    DOI: 10.1016/j.amc.2019.06.019
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    References listed on IDEAS

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    1. Li, Fengwei & Ye, Qingfang & Sun, Yuefang, 2017. "On edge-rupture degree of graphs," Applied Mathematics and Computation, Elsevier, vol. 292(C), pages 282-293.
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