Open AccessComplete Regular Fuzzy Graphs
Publication year - 2019
Publication title -
international journal of recent technology and engineering
Language(s) - English
Resource type - Journals
ISSN - 2277-3878
DOI - 10.35940/ijrte.c1026.1183s319
Subject(s) - mathematics , vertex (graph theory) , discrete mathematics , combinatorics , degree (music) , regular graph , fuzzy logic , graph , line graph , computer science , voltage graph , artificial intelligence , physics , acoustics
In this paper, some properties of complete degree and complete regular fuzzy graphs are discussed. They are illustrated through various examples. It is proved that every fuzzy graph is an induced subgraph of a complete regular fuzzy graph. The procedure described in the proof is illustrated through an example. Also the complete degree of a vertex in fuzzy graphsformed by the operation Union in terms of the complete degree of vertices in the given fuzzy graphs for some particular cases are obtained. Using them, their complete regular property is studied.