Minimal Grid Diagrams of the Prime Alternating Knots with 12 Crossings

TL;DR

This paper provides a comprehensive list of minimal grid diagrams for all prime alternating knots with 12 crossings, extending previous work in knot theory.

Contribution

It introduces a complete enumeration of minimal grid diagrams for 12-crossing prime alternating knots, advancing knot classification methods.

Findings

Complete list of minimal grid diagrams for 12-crossing prime alternating knots.

Extension of previous knot diagram classifications.

Supports further research in knot theory and applications.

Abstract

In this article, we give a list of minimal grid diagrams of the 12 crossing prime alternating knots. This is a continuation of the work in https://doi.org/10.1142/S0218216520500765