Sufficient conditions for the existence of a path-factor which are related to odd components

Yoshimi Egawa, Michitaka Furuya, Kenta Ozeki

In this paper, we are concerned with sufficient conditions for the existence of a $\{P_2,P_{2k+1}\}$-factor. We prove that for $k\ge 3$, there exists ${\epsilon }_k>0$ such th…