Article ID Journal Published Year Pages File Type
4657040 Journal of Combinatorial Theory, Series B 2013 7 Pages PDF
Abstract

We give a short proof of the two disjoint odd cycles theorem which characterizes graphs without two vertex-disjoint odd cycles. Our proof does not depend on any matroid result. It only uses the two paths theorem, which characterizes graphs without two disjoint paths with specified ends (i.e., 2-linked graphs).

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics