| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 8903442 | Electronic Notes in Discrete Mathematics | 2017 | 6 Pages |
Abstract
The power graph P (G) of a finite group G is the graph with vertex set G and two distinct vertices are adjacent if either of them is a power of the other. Here we show that the power graph P(G1ÃG2) of the direct product of two groups G1 and G2 is not isomorphic to either of the direct, cartesian and normal product of their power graphs P (G1) and P (G2). A new product of graphs, namely generalized product, has been introduced and we prove that the power graph P(G1ÃG2) is isomorphic to a generalized product of P (G1) and P (G2).
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
A.K. Bhuniya, Sajal Kumar Mukherjee,