Cut-edges and regular factors in regular graphs of odd degree

Alexander V. Kostochka, André Raspaud, Bjarne Toft +2

We study $2k$-factors in $(2r+1)$-regular graphs. Hanson, Loten, and Toft proved that every $(2r+1)$-regular graph with at most $2r$ cut-edges has a $2$-factor. We generalize their…