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### Characteristics of Fuzzy Wheel Graph and Hamilton Graph with Fuzzy Rule

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Characteristics of Fuzzy Wheel Graph and Hamilton Graph with Fuzzy Rule

Nisha. D | Srividhya. B

Nisha. D | Srividhya. B "Characteristics of Fuzzy Wheel Graph and Hamilton Graph with Fuzzy Rule" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-3 | Issue-6, October 2019, pp.1061-1064, URL: https://www.ijtsrd.com/papers/ijtsrd29319.pdf

Graph theory is the concepts used to study and model various application in different areas. We proposed the wheel graph with n vertices can be defined as 1-skeleton of on (n-1) gonal pyramid it is denoted by w_nwith n+ 1 vertex (n=3). A wheel graph is hamiltonion, self-dual and planar. In the mathematical field of graph theory, and a Hamilton path(or traceable graph) is a path in an undirected or directed graph that visits each vertex exactly once. A Hamiltonian cycle is a hamiltonian path that is a cycle. In this paper, we consider the wheel graph and also the hamilton graph using if-then-rules fuzzy numbers. The results are related to the find the degree of odd vertices and even vertices are same by applying if-then-rules through the paths described by fuzzy numbers.

Degree of Vetex, Incident Graph, Fuzzy Wheel Graph, Hamilton graph, Fuzzy IF-THEN rule

IJTSRD29319
Volume-3 | Issue-6, October 2019
1061-1064
IJTSRD | www.ijtsrd.com | E-ISSN 2456-6470