Open AccessFuzzy Graphs
Author(s) -
Huda Mutab Al Mutab
Publication year - 2019
Publication title -
journal of advances in mathematics
Language(s) - English
Resource type - Journals
ISSN - 2347-1921
DOI - 10.24297/jam.v17i0.8443
Subject(s) - mathematics , vertex (graph theory) , fuzzy logic , indifference graph , pathwidth , combinatorics , discrete mathematics , chordal graph , fuzzy number , fuzzy set , graph , artificial intelligence , computer science , line graph
In this paper, neighbourly irregular fuzzy graphs, neighbourly total irregular fuzzy graphs, highly irregular fuzzy graphs and highly total irregular fuzzy graphs are introduced. A necessary and sucient condition under which neighbourly irregular and highly irregular fuzzy graphs are equivalent is provided. We dene d2 degree of a vertex in fuzzy graphs and total d2 -degree of a vertex in fuzzy graphs and (2, k)-regular fuzzy graphs, totally (2, k)- regular fuzzy graphs are introduced. (2, k)- regular fuzzy graphs and totally (2, k)-regular fuzzy graphs are compared through various examples.