DETERMINING THE COMPONENT NUMBER OF LINKS CORRESPONDING TO TRIANGULAR AND HONEYCOMB LATTICES-Reference-Cited by-同舟云学术

DETERMINING THE COMPONENT NUMBER OF LINKS CORRESPONDING TO TRIANGULAR AND HONEYCOMB LATTICES

Published:2012-02 Issue:02 Volume:21 Page:1250018
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

JIANG LEPING¹,JIN XIAN'AN¹,DENG KECAI¹

Affiliation:

1. School of Mathematical Sciences, Xiamen University, Xiamen 361005, P. R. China

Abstract

There is a classical correspondence between edge-signed plane graphs and link diagrams. Determining component number of links corresponding to plane graphs may be one of the first problems in studying links by using graphs. There has been several early studies in this aspect, for example, the component number of links formed from 2-dimensional square lattices (44) has been determined. In this paper, we determine the component number of links corresponding to 2-dimensional triangular (36) and honeycomb (63) lattices with free or cyclic boundary condition.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216511009765

Reference23 articles.

1. Exact Potts model partition function on strips of the triangular lattice

2. Exact Potts model partition functions on strips of the honeycomb lattice

3. Cycle decomposition by disjoint transpositions

4. The Link Component Number of Suspended Trees

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The Number of Circles of a Maximum State of a Plane Graph with Applications;Acta Mathematicae Applicatae Sinica, English Series;2021-04