On statistics of graph energy

Authors
Graovac, A Gutman, I John, PE Vidovic, D Vlah, I
Citation
A. Graovac et al., On statistics of graph energy, Z NATURFO A, 56(3-4), 2001, pp. 307-311
Citations number
18
Categorie Soggetti
Physical Chemistry/Chemical Physics
Journal title
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES
ISSN journal
09320784 → ACNP
Volume
56
Issue
3-4
Year of publication
2001
Pages
307 - 311
Database
ISI
SICI code
0932-0784(200103/04)56:3-4<307:OSOGE>2.0.ZU;2-3
Abstract
The energy E-G Of a graph G is the sum of the absolute values of the eigenv alues of G. In the case whene G is a molecular graph, E-G is closely relate d to the total pi -electron energy of the corresponding conjugated molecule . We determine the average value of the difference between the energy of tw o graphs, randomly chosen from the set of all graphs with n vertices and m edges. This result provides a criterion for deciding when two (molecular) g raphs are almost coenergetic.