On Toughness and \([a, b]\)-Factors

Qiuju Bian1
1Science School, Shandong University of Technology, Zibo, 255049, P. R. China.

Abstract

In this paper, we consider a variation of toughness, and prove stronger results for the existence of \([a, b]\)-factors. Furthermore, we show that the results are sharp in some sense.

Keywords: toughness; k-factor; (a, b|-factor