[图书][B] Graph energy

X Li, Y Shi, I Gutman - 2012 - books.google.com
This book is about graph energy. The authors have included many of the important results
on graph energy, such as the complete solution to the conjecture on maximal energy of …

Graph energies and their applications

I Gutman, B Furtula - Bulletin (Académie serbe des sciences et des arts …, 2019 - JSTOR
The energy E (G) of a graph G is the sum of absolute values of the eigenvalues of the
adjacency matrix of G. This spectral quantitywas introduced in 1978 by Ivan Gutman, but its …

[PDF][PDF] Equienergetic graphs

HS Ramane, HB Walikar, SB Rao, BD Acharya… - 2004 - library.isical.ac.in
The energy of a graph is the sum of the absolute values of its eigenvalues. Two graphs are
said to be equienergetic if their energies are equal. We show how infinitely many pairs of …

[PDF][PDF] Construction of equienergetic graphs

HS Ramane, HB Walikar - MATCH Commun. Math. Comput …, 2007 - researchgate.net
The energy of a graph G is the sum of the absolute values of its eigenvalues. Two non-
isomorphic graphs of same order are said to be equienergetic if their energies are equal. In …

[PDF][PDF] Equienergetic complement graphs

HS Ramane, I Gutman, HB Walikar… - Kragujevac J. Sci, 2005 - researchgate.net
The energy of a graph G is the sum of the absolute values of its eigenvalues. Two graphs
are said to be equienergetic if their energies are equal. In this paper we show that if G is a …

QSPR analysis for certain bio‐molecular architectures

PNAD Renai, S Roy… - International Journal of …, 2024 - Wiley Online Library
Flavonoids are known for its mechanism of antioxidant property which can prevent DNA
damage. These natural products' anticancer and antiviral properties are linked to their …

Monte Carlo approach to Estrada index

I Gutman, S Radenković, A Graovac, D Plavšić - Chemical physics letters, 2007 - Elsevier
Let G be a graph on n vertices, and let λ1, λ2,…, λn be its eigenvalues. The Estrada index of
G is a recently introduced molecular structure descriptor, defined as [Formula: see text] …

Generalizing the McClelland bounds for total π-electron energy

I Gutman, G Indulal, R Todeschinic - Zeitschrift für Naturforschung A, 2008 - degruyter.com
In 1971 McClelland obtained lower and upper bounds for the total π-electron energy. We
now formulate the generalized version of these bounds, applicable to the energy-like …

Estrada index of benzenoid hydrocarbons

I Gutman, S Radenković - Zeitschrift für Naturforschung A, 2007 - degruyter.com
A structure-descriptor EE, recently proposed by Estrada, is examined. If λ1, λ2,..., λn are the
eigenvalues of the molecular graph, then. In the case of benzenoid hydrocarbons with n …

The energy of a graph and its size dependence. An improved Monte Carlo approach

H Fripertinger, I Gutman, A Kerber… - … für Naturforschung A, 2001 - degruyter.com
In an earlier work [Gutman et al., Chem. Phys. Lett. 297, 428 (1998)] the average energy (E)
of graphs with n vertices and m edges was examined, in particular its dependence on n and …