Pdf on jan 1, 2004, nagoor gani and others published 16. In fuzzy planar graphs, the planarity value is the amount of planarity of the crossed fuzzy edges, so that the intersection of. Now, in this paper, some types of tfuzzy graphs an considered, fuzzy adjacency matrix of that tfuzzy graphs is obtains. Coloring of fuzzy graphs plays a vital role in theory and practical applications. Strong fuzzy graph, complete fuzzy graph, edge regular. A necessary and sufficient condition under which they.
Also r, m, kregularity on fuzzy graphs whose underlying crisp graph is a. On irregular fuzzy graphs 519 regular fuzzy graph of total degree k or a ktotally regular fuzzy graph. The regular property and connectedness of the direct sum of two fuzzy graphs are also studied. Nagoorgani and radha 11 defined regular fuzzy graphs. Then we provide a necessary and sufficient condition under which they are equivalent. A necessary and sufficient condition for square fuzzy graph to be edge regular is determined. Pdf the concepts of regular fuzzy graph, partially regular fuzzy graph and full regular fuzzy graph are introduced and some of their properties are. In this paper, strongly regular fuzzy graph which is analogous to the concept of strongly regular graph in crisp graph theory is introduced and examples are presented, necessary and sufficient condition for a cycle to be strongly regular fuzzy graph is provided and some properties of strongly regular fuzzy graph are studied. Nagoorgani and basheerahamed 18 have introduced the strong and weak domination concepts in fuzzy graphs.
Completeness and regularity of generalized fuzzy graphs. The concept of chromatic number of fuzzy graphs was introduced by munoz6 et. Planar graph is a special type in crisp as well as in fuzzy graphs. Pdf regular properties of fuzzy graphs researchgate. New approach on regular fuzzy graph research india publications. The total degree of a index terms fuzzy graph, direct sum, effective fuzzy graph, regular fuzzy graph, connectedness, upper and lower truncations. Chapter 2 fuzzy graph structures basic concepts in this chapter, we introduce the concept of fuzzy graph structures as an extension to that of graph structures of. Antipodal intervalvalued fuzzy graphs hossein rashmanlou 1 and madhumangal pal 2. A necessary and sufficient condition under which they are equivalent is provided. On edge regular square fuzzy graphs research india publications. Generalized fuzzy graphs, effective edge, regular graphs. Some properties of vertex regular fuzzy graph are studied and they are examined for. A characterization of regular fuzzy graphs on a cycle is provided.
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