16145

16145

عدد رنگي گراف تواني يك گروه متناهي

كارشناسي ارشد

رياضي

شهريورماه 1395

شهريورماه 1395

دكتر زهره مستقيم

رياضي

1395/09/28

Abstract The power graph TG of a finite group G is the graph whose vertex set is the group, two distinct elements being adjacent if one is a power of the other. In this thesis, we classify finite groups G for which the genus of TG is one. Also a characterization of X(TG) is presented . Moreover , we classify all finite groups whose power graphs are uniquely colorable , split o​r unicyclic. Keywords: power graph, finite group , genus, graph , coloring , spilit graphs , unicyclic graph.