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The strong chromatic index of graphs with edge weight eight

Author

Listed:
  • Lily Chen

    (Huaqiao University)

  • Shumei Chen

    (Huaqiao University)

  • Ren Zhao

    (Huaqiao University)

  • Xiangqian Zhou

    (Huaqiao University)

Abstract

The edge weight of a graph G is defined to be $$\max \{d_G(u) + d_G(v): uv \in E(G)\}$$max{dG(u)+dG(v):uv∈E(G)}. The strong chromatic index of a graph is the minimum value of k such that the edge set of G can be partitioned into k induced matchings. In this article, we prove that the strong chromatic index of a graph with edge weight eight is at most 21.

Suggested Citation

  • Lily Chen & Shumei Chen & Ren Zhao & Xiangqian Zhou, 2020. "The strong chromatic index of graphs with edge weight eight," Journal of Combinatorial Optimization, Springer, vol. 40(1), pages 227-233, July.
    • Handle: RePEc:spr:jcomop:v:40:y:2020:i:1:d:10.1007_s10878-020-00582-4
    DOI: 10.1007/s10878-020-00582-4
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    References listed on IDEAS

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    1. Yang, Zixuan & Wu, Baoyindureng, 2018. "Strong edge chromatic index of the generalized Petersen graphs," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 431-441.
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