Delta Diagrams

2015/12/20 by Jablan, Slavik, Kauffman, Louis H., Lopes, Pedro
#57M27 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1512.06417

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.

Related

• Self and mixed delta-moves on algebraically split links
• The delta-unlinking number of algebraically split links
• Knot Diagrammatics
• Segment number of knots
• New classes of minimal knot diagrams