Character degree graphs constitute a powerful tool in the study of finite groups, encapsulating the interplay between group representation theory and graph theory. These graphs are constructed by ...

Vol. 1, No. 1, SPECIAL ISSUE: Papers presented at the conference Topics in Mathematical Analysis and Graph Theory Belgrade, Serbia, September 1-4, 2006. (2007), pp. 284-292 (9 pages) The idea of ...

We consider the degrees of those irreducible characters of a group G whose kernels do not contain a given normal subgroup N. We show that if $N\subseteq G^{\prime ...

A pair of mathematicians solved a legendary question about the proportion of vertices in a graph with an odd number of connections. “It’s a bit of a surprise, at least for me, that such a combination ...