| dc.contributor.author | Kumar, Jitender | |
| dc.date.accessioned | 2023-08-11T10:37:16Z | |
| dc.date.available | 2023-08-11T10:37:16Z | |
| dc.date.issued | 2021 | |
| dc.identifier.uri | https://www.worldscientific.com/doi/10.1142/S1793830920500998 | |
| dc.identifier.uri | http://dspace.bits-pilani.ac.in:8080/xmlui/handle/123456789/11335 | |
| dc.description.abstract | The enhanced power graph Pe(G) of a group G is a simple undirected graph with vertex set G and two distinct vertices x,y are adjacent if both x and y belongs to same cyclic subgroup of G. In this paper, we obtain various graph invariants viz. independence number, minimum degree and matching number of Pe(G), where G is the dicyclic group or a class of groups of order 8n. If G is any of these groups, we prove that Pe(G) is perfect and then obtain its strong metric dimension. | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | World Scientific | en_US |
| dc.subject | Mathematics | en_US |
| dc.subject | Enhanced power graph | en_US |
| dc.subject | Independence number | en_US |
| dc.subject | Minimum degree | en_US |
| dc.subject | Finite groups | en_US |
| dc.title | On enhanced power graphs of certain groups | en_US |
| dc.type | Article | en_US |
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