Laplacian Sum-Eccentricity Energy of a Graph

نویسندگان
Sharada, Biligirirangaiah ID 1
Sowaity, Mohammad Issa ID 2
Gutman, Ivan ID 3

1 Department of Studies in Mathematics, University of Mysore, Manasagangotri, Mysuru – 570 006, India

2 Department of Studies in Mathematics, University of Mysore, Manasagangotri, Mysuru – 570 006, India

3 Faculty of Science, University of Kragujevac, P.O. Box 60, 34000 Kragujevac, Serbia

doi
10.22052/mir.2017.106176.1084
چکیده

We introduce the Laplacian sum-eccentricity matrix LSe of a graph G, and its Laplacian sum-eccentricity energy LSeE=∑ni=1|ηi|, where ηi=ξi-(2m/n) and where ξ1,ξ2,...,ξn are the eigenvalues of LSe. Upper bounds for LSeE are obtained. A graph is said to be twinenergetic if ∑ni=1|ηi|=∑ni=1|ξi|. Conditions for the existence of such graphs are established.

کلیدواژه‌ها
Sum-eccentricity eigenvalues, sum-eccentricity energy, Laplacian sum-eccentricity matrix, Laplacian sum-eccentricity energy