Structural discrimination of networks by using distance, degree and eigenvalue-based measures.

In chemistry and computational biology, structural graph descriptors have been proven essential for characterizing the structure of chemical and biological networks. It has also been demonstrated that they are useful to derive empirical models for structure-oriented drug design. However, from a more...

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Main Authors: Matthias Dehmer, Martin Grabner, Boris Furtula
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2012-01-01
Series:PLoS ONE
Online Access:http://europepmc.org/articles/PMC3391207?pdf=render
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author Matthias Dehmer
Martin Grabner
Boris Furtula
author_facet Matthias Dehmer
Martin Grabner
Boris Furtula
author_sort Matthias Dehmer
collection DOAJ
description In chemistry and computational biology, structural graph descriptors have been proven essential for characterizing the structure of chemical and biological networks. It has also been demonstrated that they are useful to derive empirical models for structure-oriented drug design. However, from a more general (complex network-oriented) point of view, investigating mathematical properties of structural descriptors, such as their uniqueness and structural interpretation, is also important for an in-depth understanding of the underlying methods. In this paper, we emphasize the evaluation of the uniqueness of distance, degree and eigenvalue-based measures. Among these are measures that have been recently investigated extensively. We report numerical results using chemical and exhaustively generated graphs and also investigate correlations between the measures.
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spelling doaj.art-534b6eb9cb3b45cbaa555b35a30526d72022-12-22T01:18:38ZengPublic Library of Science (PLoS)PLoS ONE1932-62032012-01-0177e3856410.1371/journal.pone.0038564Structural discrimination of networks by using distance, degree and eigenvalue-based measures.Matthias DehmerMartin GrabnerBoris FurtulaIn chemistry and computational biology, structural graph descriptors have been proven essential for characterizing the structure of chemical and biological networks. It has also been demonstrated that they are useful to derive empirical models for structure-oriented drug design. However, from a more general (complex network-oriented) point of view, investigating mathematical properties of structural descriptors, such as their uniqueness and structural interpretation, is also important for an in-depth understanding of the underlying methods. In this paper, we emphasize the evaluation of the uniqueness of distance, degree and eigenvalue-based measures. Among these are measures that have been recently investigated extensively. We report numerical results using chemical and exhaustively generated graphs and also investigate correlations between the measures.http://europepmc.org/articles/PMC3391207?pdf=render
spellingShingle Matthias Dehmer
Martin Grabner
Boris Furtula
Structural discrimination of networks by using distance, degree and eigenvalue-based measures.
PLoS ONE
title Structural discrimination of networks by using distance, degree and eigenvalue-based measures.
title_full Structural discrimination of networks by using distance, degree and eigenvalue-based measures.
title_fullStr Structural discrimination of networks by using distance, degree and eigenvalue-based measures.
title_full_unstemmed Structural discrimination of networks by using distance, degree and eigenvalue-based measures.
title_short Structural discrimination of networks by using distance, degree and eigenvalue-based measures.
title_sort structural discrimination of networks by using distance degree and eigenvalue based measures
url http://europepmc.org/articles/PMC3391207?pdf=render
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