Largest eigenvalues of the discrete p-Laplacian of trees with degree sequences
Largest eigenvalues of the discrete p-Laplacian of trees with degree sequences
Trees that have greatest maximum p-Laplacian eigenvalue among all trees with a given degree sequence are characterized. It is shown that such extremal trees can be obtained by breadth-first search where the vertex degrees are non-increasing. These trees are uniquely determined up to isomorphism. Moreover, their structure does not depend …