The simple graph threshold number $\sigma (r,s,a,t)$

A. J. W. Hilton, A. Rajkumar

For $d\ge 1$, $s\ge 0$ a $(d,d+s)$-{\em graph} is a graph whose degrees all lie in the interval $\{d,d+1,\dots ,d+s\}$. For $r\ge 1$, $a\ge 0$, an $(r,r+a)$-{\em factor}…