Article ID Journal Published Year Pages File Type
5777068 Electronic Notes in Discrete Mathematics 2017 6 Pages PDF
Abstract

A family F of graphs has the edge-Erdős-Pósa property if there is a function f:N→N such that for every k∈N and every graph G, the following holds: either G contains k edge-disjoint subgraphs contained in F or there is an edge set Y of size at most f(k) such that G−Y does not contain any subgraph in F. We prove that the family of graphs that have K4 as a minor has the edge-Erdős-Pósa property.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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