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Cvetkovic, D. (2005) Signless Laplacians and Line Graphs. Bulletin: Classe des sciences mathematiques et natturalles, 131, 85-92.
https://doi.org/10.2298/bmat0530085c

has been cited by the following article:

• TITLE: The Laplacian Permanents and Laplacian Ratios of Trees

  AUTHORS: Xiangshuai Dong

  KEYWORDS: Laplacian Permanents, Laplacian Ratio, Tree, Caterpillar

  JOURNAL NAME: Applied Mathematics, Vol.16 No.4, April 15, 2025

  ABSTRACT: Brualdi and Goldwasser characterized the Laplacian permanents of trees. In this paper, we study the Laplacian permanents of trees. We characterize some Laplacian permanents of trees. The Laplacian ratio of G is the Laplacian permanent of G divided by the product of degrees of all vertices. In this paper, we obtain that for any n -vertex caterpillar tree T , there exists an n -vertex caterpillar tree C n such that π( C n )≤π( T ) .