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