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The spectral radius and domination number in linear uniform hypergraphs

Author

Listed:
  • Liying Kang

    (Shanghai University)

  • Wei Zhang

    (National University of Singapore)

  • Erfang Shan

    (Shanghai University)

Abstract

This paper investigates the spectral radius and signless Laplacian spectral radius of linear uniform hypergraphs. A dominating set in a hypergraph H is a subset D of vertices if for every vertex v not in D there exists $$u\in D$$ u ∈ D such that u and v are contained in a hyperedge of H. The minimum cardinality of a dominating set of H is called the domination number of H. We present lower bounds on the spectral radius and signless Laplacian spectral radius of a linear uniform hypergraph in terms of its domination number.

Suggested Citation

  • Liying Kang & Wei Zhang & Erfang Shan, 0. "The spectral radius and domination number in linear uniform hypergraphs," Journal of Combinatorial Optimization, Springer, vol. 0, pages 1-12.
    • Handle: RePEc:spr:jcomop:v::y::i::d:10.1007_s10878-019-00424-y
    DOI: 10.1007/s10878-019-00424-y
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    References listed on IDEAS

    as
    1. Shenglong Hu & Liqun Qi, 2015. "The Laplacian of a uniform hypergraph," Journal of Combinatorial Optimization, Springer, vol. 29(2), pages 331-366, February.
    2. Liying Kang & Shan Li & Yanxia Dong & Erfang Shan, 2017. "Matching and domination numbers in r-uniform hypergraphs," Journal of Combinatorial Optimization, Springer, vol. 34(2), pages 656-659, August.
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