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Journal of Combinatorial Mathematics and Combinatorial Computing

  • Research article

On the Nonsplit Monophonic Number of a Graph

M. Mahendran1, Swathy. G2
1Department of Mathematics, Vel Tech Multi Tech Dr.Rangarajan Dr. Sakunthala Engineering College, Chennai – 600 062, India.
2Department of Mathematics, S.A. Engineering College, Chennai – 600 077, India.
  • Published: 25/02/2020

Abstract

In this paper, we introduced a new concept called nonsplit monophonic set and its relative parameter nonsplit monophonic number \(m_{ns}(G)\). Some certain properties of nonsplit monophonic sets are discussed. The nonsplit monophonic number of standard graphs are investigated. Some existence theorems on nonsplit monophonic number are established.

Keywords: Distance, geodesic, monophonic path, monophonic number, nonsplit monophonic number
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Citation
M. Mahendran, Swathy. G. On the Nonsplit Monophonic Number of a Graph[J], Journal of Combinatorial Mathematics and Combinatorial Computing, Volume 112. -. DOI: .