Estimating the Estrada index
TLDR
In this paper, lower and upper bounds for the Estrada index of G are established in terms of the number of vertices and number of edges of the graph and some inequalities between EE and the energy of G were obtained.About:
This article is published in Linear Algebra and its Applications.The article was published on 2007-11-01 and is currently open access. It has received 190 citations till now. The article focuses on the topics: Estrada index & Path graph.read more
Citations
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Book ChapterDOI
Chemical Graph Theory
Ernesto Estrada,Danail Bonchev +1 more
TL;DR: This chapter on chemical graph theory forms part of the natural science and processes section of the handbook.
Journal ArticleDOI
The Physics of Communicability in Complex Networks
TL;DR: The communicability measures reviewed in this paper are defined by taking into account all possible routes between two nodes, assigning smaller weights to longer ones and the notion of locality in complex networks is reviewed.
Journal ArticleDOI
Atom–bond connectivity and the energetic of branched alkanes
TL;DR: In this paper, a new topological approach for the stability of linear and branched alkanes as well as the strain energy of cycloalkanes was introduced, and it was shown that the ratio of 1,3-interactions with respect to the total number of 1 2,2-, 1, 3- and 1 4 interactions plays a fundamental stabilizing role in the energetic of alkanes.
Journal ArticleDOI
The physics of communicability in complex networks
TL;DR: Several notions of communicability have been introduced and applied to a wide variety of real-world networks in recent years as discussed by the authors, including exponential, resolvent, and hyperbolic functions.
Journal ArticleDOI
The topology of fullerenes
TL;DR: A general overview of recent topological and graph theoretical developments in fullerene research over the past two decades is presented, describing both solved and open problems.
References
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Book
Spectra of graphs : theory and application
TL;DR: The Spectrum and the Group of Automorphisms as discussed by the authors have been used extensively in Graph Spectra Techniques in Graph Theory and Combinatory Applications in Chemistry an Physics. But they have not yet been applied to Graph Spectral Biblgraphy.
Journal ArticleDOI
Subgraph centrality in complex networks.
TL;DR: A new centrality measure that characterizes the participation of each node in all subgraphs in a network, C(S)(i), which is better able to discriminate the nodes of a network than alternate measures such as degree, closeness, betweenness, and eigenvector centralities.
Book ChapterDOI
The Energy of a Graph: Old and New Results
TL;DR: In this article, the energy of a graph G is defined as the sum of the absolute values of the eigenvalues of G. The connection between E and the total electron energy of organic molecules is briefly outlined.
Journal ArticleDOI
Characterization of 3D molecular structure
TL;DR: The similarity among these proteins has been determined, showing that the most folded proteins are not similar among them, while the less folded ones are similar to each other.
Journal ArticleDOI
Spectral measures of bipartivity in complex networks
TL;DR: It is shown that the bipartivity characterizes the network structure and can be related to the efficiency of semantic or communication networks, trophic interactions in food webs, construction principles in metabolic networks, or communities in social networks.