On the minimum degree of the power graph of a finite abelian p-group.

Autor: Yadav, Renu, Malik, Archana, Sehgal, Amit
Předmět:
Zdroj: AIP Conference Proceedings; 2023, Vol. 2782 Issue 1, p1-5, 5p
Abstrakt: 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]
Databáze: Complementary Index