Zheng Xie

A sharp complement signless Laplacian spectral condition for odd [1, b]-factors

We set G to be a connected graph of even order n ≥ b + 3, where b ≥ 3 is odd. We establish a sharp sufficient condition for the existence of an odd [1, b]-factor in terms of the signless Laplacian spectral radius q(G¯) of the complement graph. Specifically, if q(G¯)≤Φ(n,b)=n+2b−1+(n+2b−1)2−8b(b+1)2, then G has an odd [...