International Journal of Advanced Research in Engineering and Applied Sciences
  • Year: 2017
  • Volume: 6
  • Issue: 10

Fuzzification of some path related graphs

  • Author:
  • Mathew T.K. Varkey, T.D. Sreena
  • Total Page Count: 7
  • Page Number: 1 to 7

*Department of Mathematics, T.K.M College of Engineering, Kollam

**Department of Mathematics, Sree Narayana College, Nattika, Thrissu

Online published on 1 August, 2018.

Abstract

In this paper we introduce evidence labelling for fuzzification of crisp graphs. In evidence labelling, the vertex labelling is done by an injective function m and the edge labelling is done by the injective function ρ. The evidently labelled graph is a fuzzy graph. We also prove some theorems which show the admissibility of evidence labelling in path related graphs.

Keywords

Evidence Labelling, Path graph, Middle graph, strong duplicate graph, shadow graph, Z-graph