Nullity and energy of the cubic power graph
Künye
Ejima, O., Tamizh Chelvam, T. & Aremu, K. O. (2024). Nullity and energy of the cubic power graph. TWMS Journal Of Applied And Engineering Mathematics, 14(2), 571-578.Özet
Let G be a finite abelian group with identity 0, G1 = {3t | t ∈ G} ⊆ G and G2 = G \ G1. The cubic power graph Γcpg of G is an undirected simple graph with vertex set G, such that two distinct vertices x and y are adjacent in Γcpg if and only if x + y ∈ G1 \ {0}. In this paper, we first prove certain properties of the cubic power graph Γcpg of finite abelian groups. Finally, we observe some properties on the nullity of the cubic power graph Γcpg and also show that the energy of the cubic power graph of a finite abelian group of order n is bounded below by √(n − 3)(n − 1)/3 if n is divisible by 3 and n − 1 if n otherwise.
Kaynak
TWMS Journal Of Applied And Engineering MathematicsCilt
14Sayı
2Bağlantı
https://hdl.handle.net/11729/5951https://jaem.isikun.edu.tr/web/index.php/current/124-vol14no2/1197
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