Signless Laplacian spectral radius and Hamiltonicity of graphs with large minimum degree
Signless Laplacian spectral radius and Hamiltonicity of graphs with large minimum degree
In this paper, we establish a tight sufficient condition for the Hamiltonicity of graphs with large minimum degree in terms of the signless Laplacian spectral radius and characterize all extremal graphs. Moreover, we prove a similar result for balanced bipartite graphs. Additionally, we construct infinitely many graphs to show that …