• ON (m, k)-REGULAR FUZZY GRAPHS

N. R. SANTHI MAHESWARI*, C. SEKAR

Abstract


In this paper, (m, k) - regular fuzzy graph and totally (m, k)-regular fuzzy graph are introduced and compared through various examples. Also, comparative study between (m, k)-regularity and totally (m, k)-regularity is done. A necessary and sufficient condition under which they are equivalent is provided. (m, k)-regularity on some fuzzy graphs whose underlying crisp graphs are a path and a cycle is studied with some specific membership functions.


Keywords


degree of a vertex in fuzzy graph, regular fuzzy graph, total degree, dm -degree of a vertex in fuzzy graph, total dm- degree of a vertex in fuzzy graph, m- neighborly irregular fuzzy graphs.

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