Characterizations of H-graphs

摘要

The purpose of this paper is to introduce the new family of H-graphs that generalizes the existing notions of trees, higher dimensional trees and k-ctrees. Further, we establish the characterizations of both the wheel-graphs G(W_n) for n ≥ 6 and T_k-graphs for k ≥ 4, where T_k is not a star. Finally, we determine the conditions under which the T_k-graphs axe split graphs and also propose some open problems for further research.