Vertex covering set, Vertex covering number, Minimal vertex covering set, Upper vertex covering set, Upper vertex covering number.

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• Published Subscription 19 Apr 2022

  Vertex Covered Hypergraphs

  By Kirit N. Kalariya

  Abstract: In this Paper I consider a minimal vertex covering sets and minimal strong vertex covering sets. I define Hypergraph, Sub-hypergraph, Partial sub-hypergraph, Vertex covering set, Minimal Vertex covering set, upper vertex covering set and upper vertex covering number in this paper and I consider the effect of removing a vertex on the upper vertex covering number of the hypergraph. Then I prove that the upper vertex covering number does not …

  Published in Research & Reviews: Discrete Mathematical Structures · Vol. 9, Issue 1, 2022 · pp. 1–5 Read article →