Appendix for almost-rainbow edge-colorings of some small subgraphs

TL;DR

This appendix provides the detailed proof of a key theorem related to almost-rainbow edge-colorings of small subgraphs, supporting the main article's findings.

Contribution

It offers a comprehensive proof of Theorem 4.1, enhancing the theoretical foundation of almost-rainbow edge-colorings.

Findings

Proof of Theorem 4.1 included

Strengthens the theoretical basis of the main article

Supports the study of edge-coloring properties

Abstract

This appendix for our article, "Almost-rainbow edge-colorings of some small subgraphs", contains the full proof of Theorem 4.1.