Assortative mixing in close-packed spatial networks.
<h4>Background</h4>In recent years, there is aroused interest in expressing complex systems as networks of interacting nodes. Using descriptors from graph theory, it has been possible to classify many diverse systems derived from social and physical sciences alike. In particular, folded...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Public Library of Science (PLoS)
2010-12-01
|
| Series: | PLoS ONE |
| Online Access: | https://www.ncbi.nlm.nih.gov/pmc/articles/pmid/21179578/?tool=EBI |
| _version_ | 1818694293055864832 |
|---|---|
| author | Deniz Turgut Ali Rana Atilgan Canan Atilgan |
| author_facet | Deniz Turgut Ali Rana Atilgan Canan Atilgan |
| author_sort | Deniz Turgut |
| collection | DOAJ |
| description | <h4>Background</h4>In recent years, there is aroused interest in expressing complex systems as networks of interacting nodes. Using descriptors from graph theory, it has been possible to classify many diverse systems derived from social and physical sciences alike. In particular, folded proteins as examples of self-assembled complex molecules have also been investigated intensely using these tools. However, we need to develop additional measures to classify different systems, in order to dissect the underlying hierarchy.<h4>Methodology and principal findings</h4>In this study, a general analytical relation for the dependence of nearest neighbor degree correlations on degree is derived. Dependence of local clustering on degree is shown to be the sole determining factor of assortative versus disassortative mixing in networks. The characteristics of networks constructed from spatial atomic/molecular systems exemplified by self-organized residue networks built from folded protein structures and block copolymers, atomic clusters and well-compressed polymeric melts are studied. Distributions of statistical properties of the networks are presented. For these densely-packed systems, assortative mixing in the network construction is found to apply, and conditions are derived for a simple linear dependence.<h4>Conclusions</h4>Our analyses (i) reveal patterns that are common to close-packed clusters of atoms/molecules, (ii) identify the type of surface effects prominent in different close-packed systems, and (iii) associate fingerprints that may be used to classify networks with varying types of correlations. |
| first_indexed | 2024-12-17T13:27:16Z |
| format | Article |
| id | doaj.art-c52411f91b014eb7900e73c62359bbd8 |
| institution | Directory Open Access Journal |
| issn | 1932-6203 |
| language | English |
| last_indexed | 2024-12-17T13:27:16Z |
| publishDate | 2010-12-01 |
| publisher | Public Library of Science (PLoS) |
| record_format | Article |
| series | PLoS ONE |
| spelling | doaj.art-c52411f91b014eb7900e73c62359bbd82022-12-21T21:46:42ZengPublic Library of Science (PLoS)PLoS ONE1932-62032010-12-01512e1555110.1371/journal.pone.0015551Assortative mixing in close-packed spatial networks.Deniz TurgutAli Rana AtilganCanan Atilgan<h4>Background</h4>In recent years, there is aroused interest in expressing complex systems as networks of interacting nodes. Using descriptors from graph theory, it has been possible to classify many diverse systems derived from social and physical sciences alike. In particular, folded proteins as examples of self-assembled complex molecules have also been investigated intensely using these tools. However, we need to develop additional measures to classify different systems, in order to dissect the underlying hierarchy.<h4>Methodology and principal findings</h4>In this study, a general analytical relation for the dependence of nearest neighbor degree correlations on degree is derived. Dependence of local clustering on degree is shown to be the sole determining factor of assortative versus disassortative mixing in networks. The characteristics of networks constructed from spatial atomic/molecular systems exemplified by self-organized residue networks built from folded protein structures and block copolymers, atomic clusters and well-compressed polymeric melts are studied. Distributions of statistical properties of the networks are presented. For these densely-packed systems, assortative mixing in the network construction is found to apply, and conditions are derived for a simple linear dependence.<h4>Conclusions</h4>Our analyses (i) reveal patterns that are common to close-packed clusters of atoms/molecules, (ii) identify the type of surface effects prominent in different close-packed systems, and (iii) associate fingerprints that may be used to classify networks with varying types of correlations.https://www.ncbi.nlm.nih.gov/pmc/articles/pmid/21179578/?tool=EBI |
| spellingShingle | Deniz Turgut Ali Rana Atilgan Canan Atilgan Assortative mixing in close-packed spatial networks. PLoS ONE |
| title | Assortative mixing in close-packed spatial networks. |
| title_full | Assortative mixing in close-packed spatial networks. |
| title_fullStr | Assortative mixing in close-packed spatial networks. |
| title_full_unstemmed | Assortative mixing in close-packed spatial networks. |
| title_short | Assortative mixing in close-packed spatial networks. |
| title_sort | assortative mixing in close packed spatial networks |
| url | https://www.ncbi.nlm.nih.gov/pmc/articles/pmid/21179578/?tool=EBI |
| work_keys_str_mv | AT denizturgut assortativemixinginclosepackedspatialnetworks AT aliranaatilgan assortativemixinginclosepackedspatialnetworks AT cananatilgan assortativemixinginclosepackedspatialnetworks |