STICK INDEX OF KNOTS AND LINKS IN THE CUBIC LATTICE

Author:

ADAMS COLIN1,CHU MICHELLE2,CRAWFORD THOMAS1,JENSEN STEPHANIE1,SIEGEL KYLER3,ZHANG LIYANG1

Affiliation:

1. Department of Mathematics and Statistics, Williams College, Williamstown, MA 01267, USA

2. Department of Mathematics, University of Texas, 1 University Station, C1200 Austin, TX 78712, USA

3. Department of Mathematics, Stanford University, Building 380, Stanford, CA 943057, USA

Abstract

The cubic lattice stick index of a knot type is the least number of sticks glued end-to-end that are necessary to construct the knot type in the 3-dimensional cubic lattice. We present the cubic lattice stick index of various knots and links, including all (p, p + 1)-torus knots, and show how composing and taking satellites can be used to obtain the cubic lattice stick index for a relatively large infinite class of knots. Additionally, we present several bounds relating cubic lattice stick index to other known invariants.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Cited by 11 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. Topology-based optimization of handcuff graphs on 3D lattice;Physica Scripta;2023-12-14

2. The stick number of rail arcs;Journal of Knot Theory and Its Ramifications;2023-04

3. The ropelength of complex knots;Journal of Physics A: Mathematical and Theoretical;2021-10-07

4. Vertex distortion of lattice knots;Journal of Knot Theory and Its Ramifications;2021-06

5. Escher squares and lattice links;Topology and its Applications;2019-04

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3