Topological densities of periodic graphs-Reference-Cited by-同舟云学术

Topological densities of periodic graphs

Published:2020-11-25 Issue:12 Volume:235 Page:609-617
ISSN:2196-7105
Container-title:Zeitschrift für Kristallographie - Crystalline Materials
language:en
Short-container-title:

Author:

Shutov Anton¹,Maleev Andrey¹

Affiliation:

1. Vladimir State University , Gorky Street, 87 , Vladimir , 600000 , Russian Federation

Abstract

Abstract We propose a new method to calculate topological densities of periodic graphs based on the concept of layer-by-layer growth. Topological density is expressed in terms of metric characteristics: the volume of the fundamental domain and the volume of the growth polytope of the graph. Our method is universal (works for all d-periodic graphs) and is easily automated. As examples, we calculate topological densities of all 20 plane 2-uniform graphs and 14 carbon allotrope modifications.

Publisher

Walter de Gruyter GmbH

Subject

Inorganic Chemistry,Condensed Matter Physics,General Materials Science

Link

https://www.degruyter.com/document/doi/10.1515/zkri-2020-0065/pdf

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