On the matching polynomial of hypergraphs

Authors

  • Zhiwei Guo Department of Mathematics, Qinghai Normal University, Xining, Qinghai 810008, China ROR
  • Haixing Zhao School of Computer, Qinghai Normal University, Xining, Qinghai 810008, China ROR
  • Yaping Mao Department of Mathematics, Qinghai Normal University, Xining, Qinghai 810008, China ROR

Keywords:

Hypergraph, Matching polynomial, Line-graph, Independence polynomial

Abstract

The concept of the matching polynomial of a graph, introduced by Farrell in 1979, has received considerable attention and research. In this paper, we generalize this concept and introduce the matching polynomial of hypergraphs. A recurrence relation of the matching polynomial of a hypergraph is obtained. The exact matching polynomials of some special hypergraphs are given. Further, we discuss the zeros of matching polynomials of hypergraphs.

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Published

2016-01-15

How to Cite

Guo, Z., Zhao, H., & Mao, Y. (2016). On the matching polynomial of hypergraphs. Journal of Algebra Combinatorics Discrete Structures and Applications, 4(1), 1–11. Retrieved from https://jacodesmath.com/index.php/jacodesmath/article/view/51

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