2017/11/28 by Hoffmann-Ostenhof, Arthur, Zhang, Cun-Quan, Zhang, Zhang
#05Cxx #Combinatorics (math.CO) #FOS: Mathematics
paper · doi:10.48550/arxiv.1711.10614
Which 2-regular subgraph R of a cubic graph G can be extended to a cycle double cover of G? We provide a condition which ensures that every R satisfying this condition is part of a cycle double cover of G. As one consequence, we prove that every 2-connected cubic graph which has a decomposition into a spanning tree and a 2-regular subgraph C consisting of k circuits with k≤ 3, has a cycle double cover containing C.