The Laplacian spread of a tree

作者: Yi-Zheng Fan , Yi Wang , Dong Liang , Jing Xu

DOI:

关键词: Eigenvalues and eigenvectorsPath (graph theory)Laplacian matrixDiscrete mathematicsOrder (group theory)Graph (abstract data type)CombinatoricsMathematicsTree (graph theory)Star (graph theory)Laplace operator

摘要: The Laplacian spread of a graph is defined to be the difference between largest eigenvalue and second smallest matrix graph. In this paper, we show that star unique tree with maximal among all trees given order, path one minimal order.

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