Even $A$-cycles have the edge-Erd\H{o}s-P\'osa property

TL;DR

This paper proves that even cycles containing a specific vertex set have the edge-Erdős-Pósa property, extending understanding of cycle packing and covering in graph theory.

Contribution

It establishes that even A-cycles possess the edge-Erdős-Pósa property, a significant extension of known properties for cycles in graphs.

Findings

Proves even A-cycles have the edge-Erdős-Pósa property.

Extends the class of cycles known to have this property.

Provides a new insight into cycle packing and covering in graphs.

Abstract

I prove that even $A$-cycles have the edge-Erd\H{o}s-P\'osa property.