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Disjoint Steiner Trees in the Balanced Complete Multipartite Networks

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  • Yinkui Li
  • Yilin Song
  • Liqun Wei
  • Ma Xuanlong

Abstract

The generalized k-connectivity κkG of a graph G, introduced by Hager in 1985, is a natural generalization of the concept of connectivity κG, which is just for k=2. In (Basrah Journal of Science, 37(3) (2019), 430–441), authors discussed the problem of internally disjoint Steiner trees in an equally complete k-partite network G by determining its generalized 3-connectivity κ3G. In this paper, we by determining the exact value of the generalized 4, 5-(edge)-connectivity of the balanced complete n-partite graph Kmn to investigate the edge disjoint Steiner trees in the balanced complete n-partite networks.

Suggested Citation

  • Yinkui Li & Yilin Song & Liqun Wei & Ma Xuanlong, 2024. "Disjoint Steiner Trees in the Balanced Complete Multipartite Networks," Journal of Mathematics, Hindawi, vol. 2024, pages 1-9, August.
    • Handle: RePEc:hin:jjmath:6606412
    DOI: 10.1155/2024/6606412
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