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The Connective Eccentricity Index of Hypergraphs

Author

Listed:
  • Guihai Yu

    (College of Big Data Statistics, Guizhou University of Finance and Economics, Guiyang 550025, China)

  • Renjie Wu

    (College of Big Data Statistics, Guizhou University of Finance and Economics, Guiyang 550025, China)

  • Xingfu Li

    (College of Big Data Statistics, Guizhou University of Finance and Economics, Guiyang 550025, China)

Abstract

The connective eccentricity index (CEI) of a hypergraph G is defined as ξ c e ( G ) = ∑ v ∈ V ( G ) d G ( v ) ε G ( v ) , where ε G ( v ) and d G ( v ) denote the eccentricity and the degree of the vertex v , respectively. In this paper, we determine the maximal and minimal values of the connective eccentricity index among all k -uniform hypertrees on n vertices and characterize the corresponding extremal hypertrees. Finally, we establish some relationships between the connective eccentricity index and the eccentric connectivity index of hypergraphs.

Suggested Citation

  • Guihai Yu & Renjie Wu & Xingfu Li, 2022. "The Connective Eccentricity Index of Hypergraphs," Mathematics, MDPI, vol. 10(23), pages 1-15, December.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:23:p:4574-:d:991786
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    References listed on IDEAS

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    1. Estrada, Ernesto & Rodríguez-Velázquez, Juan A., 2006. "Subgraph centrality and clustering in complex hyper-networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 364(C), pages 581-594.
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