Abstract. Coloring of fuzzy graphs plays a vital role in theory and practical applications. The concept of chromatic number of fuzzy graphs was introduced by Munoz[6] et.al. Later Eslahchi and Onagh [7]defined fuzzy coloring of fuzzy graphs and defined fuzzy chromatic number χ (G). Incorporating the features of these two definitions, the definition of chromatic number of a fuzzy graph χ(G), is ...

Polar and monopolar graphs are natural generalizations of bipartite or split graphs. A graph G = (V,E) is polar if its vertex set admits a partition V = A∪B such thatA induces a complete multipartite and B the complement of a complete multipartite graph. If A is even a stable set then G is called monopolar. Recognizing general polar or monopolar graphs is NP-complete and, as yet, efficient reco...