Decomposing Claw-free Subcubic Graphs and $4$-Chordal Subcubic Graphs

Hoffmann-Ostenhof's conjecture for claw-free cubic graphs

“…[8] proved that planar cubic graphs are good. Recently in [2] the authors proved that claw-free subcubic graphs and 4-chordal subcubic graphs have the same property. In this paper, we are interested in finding a good decomposition of claw-free cubic graphs.…”