Inverse Sum Indeg Energy of Graphs

被引:17
|
作者
Hafeez, Sumaira [1 ]
Farooq, Rashid [1 ]
机构
[1] Natl Univ Sci & Technol, Sch Nat Sci, Islamabad 44000, Pakistan
关键词
Energy of graphs; inverse sum indeg energy; extremal bounds; equienergetic graphs; SPECTRAL-RADIUS; MATRIX;
D O I
10.1109/ACCESS.2019.2929528
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Suppose G is an n-vertex simple graph with vertex set {v(1), ... v(n)} and d(i), i = 1; ... ; n, is the degree of vertex v(i) in G. The ISI matrix S (G) = [s(ij)](nxn) of G is defined by s(ij) = d(i)d(j)/d(i)+d(j) if the vertices v(i) and v(j) are adjacent and s(ij) = 0 otherwise. The S-eigenvalues of G are the eigenvalues of its ISI matrix S (G). Recently, the notion of inverse sum indeg (henceforth, ISI) energy of graphs is introduced and is defined by Sigma(n)(i=1)vertical bar tau(i)vertical bar, where tau(i) are the S-eigenvalues. We give ISI energy formula of some graph classes. We also obtain some bounds for ISI energy of graphs. In the end, we give some noncospectral equienergetic graphs with respect to inverse sum indeg energy.
引用
收藏
页码:100860 / 100866
页数:7
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