Cycle Double Covers via Kotzig Graphs

Abstract

We show that every $2$-connected cubic graph $G$ has a cycle double cover if $G$ has a spanning subgraph $F$ such that (i) every component of $F$ has an even number of vertices (ii) every component of $F$ is either a cycle or a subdivision of a Kotzig graph and (iii) the components of $F$ are connected to each other in a certain general manner.

References in corpus (1)

• Even Subdivision-Factors of Cubic Graphs