r__Regular hypergraphs

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Abstract

In this paper, we have obtained the values of $r$ for which $r$-regular simple hypergraphs exist, given the vertex set as $\left\{x_1, x_2, \cdots, x_n\right\}$. We have also discussed the procedure of constructing such a $r$-regular hypergraph. Further we have investigated the least value of the order of $H$ for which $r$-regular simple hypergraph $H$ exists, for a given value of $r$.

Keywords:

Simple hypergraph, r_regular, r_uniform

Mathematics Subject Classification:

Mathematics
  • P. Vijaya Saradhi Department of Mathematics, Bapatla Engineering College, Bapatla, Andhra Pradesh, India-522102.
  • S. Vangipuram Department of Mathematics, Sri Venkateswara University, Tirupati, Andhra Pradesh, India-517502.
  • Pages: 1167-1169
  • Date Published: 01-01-2021
  • Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)

C. Berge, Graphs and Hypergraphs, North Holland, Amsterdam (1973).

C. Berge, Isomorphism Problems for hypergraphs, Hypergraphs Seminar, Lecture Notes in Mathematics,

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Published

01-01-2021

How to Cite

P. Vijaya Saradhi, and S. Vangipuram. “r__Regular Hypergraphs”. Malaya Journal of Matematik, vol. 9, no. 01, Jan. 2021, pp. 1167-9, https://www.malayajournal.org/index.php/mjm/article/view/1242.

Issue

Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)

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Articles

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