Y. Egawa

most citedThe existence of a path-factor without small odd paths

3 citations · 3 across the 2 of their papers we have counts for

collaborators

2 papers

math.CO2017

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 ${P_{2}, P_{2 k + 1}}$ -factor. We prove that for $k \geq 3$ , there exists $ε_{k} > 0$ such th…

math.CO2015★ 3 cited

The existence of a path-factor without small odd paths

Yoshimi Egawa, Michitaka Furuya

In this paper, we show that if a graph $G$ satisfies $c_{1} (G - X) + \frac{2}{3} c_{3} (G - X) \leq \frac{4}{3} ∣ X ∣ + \frac{1}{3}$ for all $X \subseteq V (G)$ , then $G$ has a ${P_{2}, P_{5}}$ -f…