Delta diagrams-Reference-Cited by-同舟云学术

Delta diagrams

Published:2016-08 Issue:09 Volume:25 Page:1641008
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

Jablan Slavik¹,Kauffman Louis H.²,Lopes Pedro³

Affiliation:

1. The Mathematical Institute, Knez Mihailova 36, P.O. Box 367, 11001, Belgrade, Serbia

2. Department of Mathematics, Statistics and Computer Science, University of Illinois at Chicago, 851 S. Morgan St., Chicago IL 60607-7045, USA

3. Center for Mathematical Analysis, Geometry and Dynamical Systems, Department of Mathematics, Instituto Superior Técnico, Universidade de Lisboa, 1049-001 Lisboa, Portugal

Abstract

We call a delta diagram any diagram of a knot or link whose regions (including the unbounded one) have 3, 4, or 5 sides. We prove that any knot or link admits a delta diagram. We define and estimate combinatorial link invariants stemming from this definition.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021821651641008X

Reference8 articles.

1. Complementary Regions of Knot and Link Diagrams

2. Every planar map is four colorable. Part I: Discharging

3. Annals of Math. Studies;Birman J.,1974

4. LUNE-FREE KNOT GRAPHS

5. The delunification process and minimal diagrams

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