Results 71 to 74 of about 124 (74)

NOTES ON THE HARMONIC INDEX OF GRAPHS

Rocky Mountain Journal of Mathematics, 2022
For a connected graph G of order n, the harmonic index of G is the sum of weights 2 d(u)+d(v) over all edges uv of G, where d(u) and d(v) are the degrees of the vertices u and v in G, respectively. In this note, we prove that H(G) ≥ χDP (G)− 2 2 + 2(χDP (
Yirong Zheng, Jianbo Lv, Jianxi Li
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Triangular index of some graph products

Applied Mathematical Sciences, 2021
The number of triangles in a graph G is called the triangular index of G, denoted by Ti(G). In this paper we give the exact expressions for the triangular indices of the complete product G ∨ H, corona product G ◦ H, cartesian product G H, and tensor ...
Remarl Joseph M. Damalerio, R. Eballe
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Status Sombor Indices of Unitary Cayley Graph

Indian Journal of Science and Technology
Objectives: The objective of the study is to obtain the values of status Sombor indices for the unitary Cayley graph. Methods: The unitary Cayley graph 𝑋𝑛 has vertex set 𝑍𝑛 = {0, 1, 2, ...𝑛 − 1}. Vertices a, and b are adjacent, if 𝑔𝑐𝑑(𝑎 − 𝑏, 𝑛) = 1.
S. A. Kauser, Mashaer Alsaeedi
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