Coordination sequences of crystals are of quasi-polynomial type

The coordination sequence of a graph measures how many vertices the graph has at each distance from a fixed vertex and is a generalization of the coordination number. Here it is proved that the coordination sequence of the graph obtained from a crystal is of quasi-polynomial type, as had been postul...

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Autores principales: Nakamura, Yusuke, Sakamoto, Ryotaro, Mase, Takafumi, Nakagawa, Junichi
Formato: Online Artículo Texto
Lenguaje:English
Publicado: International Union of Crystallography 2021
Materias:
Research Papers
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7941273/
https://www.ncbi.nlm.nih.gov/pubmed/33646200
http://dx.doi.org/10.1107/S2053273320016769
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author Nakamura, Yusuke
Sakamoto, Ryotaro
Mase, Takafumi
Nakagawa, Junichi
author_facet Nakamura, Yusuke
Sakamoto, Ryotaro
Mase, Takafumi
Nakagawa, Junichi
author_sort Nakamura, Yusuke
collection PubMed
description The coordination sequence of a graph measures how many vertices the graph has at each distance from a fixed vertex and is a generalization of the coordination number. Here it is proved that the coordination sequence of the graph obtained from a crystal is of quasi-polynomial type, as had been postulated by Grosse-Kunstleve et al. [Acta Cryst. (1996), A52, 879–889].
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spelling pubmed-79412732021-03-10 Coordination sequences of crystals are of quasi-polynomial type Nakamura, Yusuke Sakamoto, Ryotaro Mase, Takafumi Nakagawa, Junichi Acta Crystallogr A Found Adv Research Papers The coordination sequence of a graph measures how many vertices the graph has at each distance from a fixed vertex and is a generalization of the coordination number. Here it is proved that the coordination sequence of the graph obtained from a crystal is of quasi-polynomial type, as had been postulated by Grosse-Kunstleve et al. [Acta Cryst. (1996), A52, 879–889]. International Union of Crystallography 2021-02-18 /pmc/articles/PMC7941273/ /pubmed/33646200 http://dx.doi.org/10.1107/S2053273320016769 Text en © Yusuke Nakamura et al. 2021 http://creativecommons.org/licenses/by/4.0/ This is an open-access article distributed under the terms of the Creative Commons Attribution (CC-BY) Licence, which permits unrestricted use, distribution, and reproduction in any medium, provided the original authors and source are cited.http://creativecommons.org/licenses/by/4.0/
spellingShingle Research Papers
Nakamura, Yusuke
Sakamoto, Ryotaro
Mase, Takafumi
Nakagawa, Junichi
Coordination sequences of crystals are of quasi-polynomial type
title Coordination sequences of crystals are of quasi-polynomial type
title_full Coordination sequences of crystals are of quasi-polynomial type
title_fullStr Coordination sequences of crystals are of quasi-polynomial type
title_full_unstemmed Coordination sequences of crystals are of quasi-polynomial type
title_short Coordination sequences of crystals are of quasi-polynomial type
title_sort coordination sequences of crystals are of quasi-polynomial type
topic Research Papers
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7941273/
https://www.ncbi.nlm.nih.gov/pubmed/33646200
http://dx.doi.org/10.1107/S2053273320016769
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AT nakagawajunichi coordinationsequencesofcrystalsareofquasipolynomialtype

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