Upper bounds for sum and product of chromatic number of complementary fuzzy graphs are given in . We find that these bounds do not hold for fuzzy graphs which have certain properties. This problem motivates us to investigate upper bounds for sum and product of chromatic number of several classes of fuzzy graphs and their complements. We obtain new results on upper bounds for sum and product of complementary fuzzy graphs. Finally, we investigate these results related to the bounds given in . We add a necessary condition to fuzzy graphs so that the upper bounds given in  can be improved.
|Number of pages||23|
|Journal||Far East Journal of Mathematical Sciences|
|Publication status||Published - 1 Jan 2014|
- Chromatic number
- Complement of fuzzy graphs
- Fuzzy graphs