1. Main functions and the spectrum of super graphs
- Author
-
Arunkumar, G., Cameron, Peter J., Ganeshbabu, R., and Nath, Rajat Kanti
- Subjects
Mathematics - Combinatorics ,05C50 - Abstract
Let A be a graph type and B an equivalence relation on a group $G$. Let $[g]$ be the equivalence class of $g$ with respect to the equivalence relation B. The B superA graph of $G$ is an undirected graph whose vertex set is $G$ and two distinct vertices $g, h \in G$ are adjacent if $[g] = [h]$ or there exist $x \in [g]$ and $y \in [h]$ such that $x$ and $y$ are adjacent in the A graph of $G$. In this paper, we compute spectrum of equality/conjugacy supercommuting graphs of dihedral/dicyclic groups and show that these graphs are not integral.
- Published
- 2024