BOUNDS FOR SOMBOR EIGENVALUE AND ENERGY OF A GRAPH IN TERMS OF HYPER ZAGREB AND ZAGREB INDICES.

Autor: Shinde, Sumedha S., Macha, J., Ramane, H. S.
Předmět:
Zdroj: Palestine Journal of Mathematics; 2024, Vol. 13 Issue 1, p100-108, 9p
Abstrakt: The Sombor matrix SOM(G) of a graph G is defined as a matrix, where every element of it is defined as ... if and only if the vertices vi and vj with degrees di and dj are adjacent, otherwise it is zero. Based on this matrix we calculate the Sombor energy and Sombor eigenvalues for some standard graphs. Furthermore, we derive the bounds for the largest eigenvalue and for the partial sum of eigenvalues of Sombor matrix in terms of Zagreb indices, Hyper Zagreb index and Forgotten index. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index