A New Family Satisfying the Intersection Graph Conjecture

Year: 2018 Authors: Ally K. Stacey

Core claim

A generalized four-term relation shows a family of chord diagrams, including necklaces of triangles, satisfies the Intersection Graph Conjecture.

Topics

intersection graphs, chord diagrams, four-term relation, Vassiliev knot invariants

Domains

graph theory, knot theory, combinatorics, invariant theory, mathematical art, visualization, drawing, artistic exploration

Methods

generalized four-term relation, inductive proof, diagrammatic analysis, visual experimentation

Media

hand-drawn artwork, chord diagrams, intersection graph diagrams, color-coded illustrations

Source status

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