Subsemi-Eulerian graphs.
For a set of graphs, an -factor of a graph is a spanning subgraph of , where each component of is contained in . It is very interesting to investigate the existence of factors in a graph with given minimum degree from the prospective of eigenvalues. We first propose a tight sufficient condition in terms of the -spectral radius for a graph involving minimum degree to contain a star factor. Moreover, we also present tight sufficient conditions based on the -spectral radius and the distance...
Soit le -ième nombre premier. Une fonction arithmétique complètement additive est définie sur par la donnée des et la formule , où désigne la...