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On the minimum degree of the power graph of a finite abelian p-group.
- Source :
-
AIP Conference Proceedings . 2023, Vol. 2782 Issue 1, p1-5. 5p. - Publication Year :
- 2023
-
Abstract
- The power graph of a group G is a special type of undirected as well as simple graph which is donted by P(G) whose vertex set is G and two distinct vertices u and v are adjacent either u = vn or v = um, where n, m ∈ Z+. The minimum degree δ(P(ℤn)) of P(ℤn) is known when n has only two distinct prime divisors, where ℤn is the cyclic group of order n. In this research article, we are able to identify one such vertex from finite abelian p-group which has minimum degree without any condition. [ABSTRACT FROM AUTHOR]
- Subjects :
- *CYCLIC groups
*UNDIRECTED graphs
*ABELIAN functions
Subjects
Details
- Language :
- English
- ISSN :
- 0094243X
- Volume :
- 2782
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- AIP Conference Proceedings
- Publication Type :
- Conference
- Accession number :
- 164414369
- Full Text :
- https://doi.org/10.1063/5.0154371