On the coefficients of the Laplacian characteristic polynomial of trees.
Gutman, I., Pavlović, Ljiljana (2003)
Bulletin. Classe des Sciences Mathématiques et Naturelles. Sciences Mathématiques
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Gutman, I., Pavlović, Ljiljana (2003)
Bulletin. Classe des Sciences Mathématiques et Naturelles. Sciences Mathématiques
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Jessica Enright, Piotr Rudnicki (2008)
Formalized Mathematics
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We prove, following [5, p. 92], that any family of subtrees of a finite tree satisfies the Helly property.MML identifier: HELLY, version: 7.8.09 4.97.1001
Duško Jojić (2012)
Publications de l'Institut Mathématique
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I. Gutman (2005)
Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques
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Rosário Fernandes (2015)
Special Matrices
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The maximum multiplicity of an eigenvalue in a matrix whose graph is a tree, M1, was understood fully (froma combinatorial perspective) by C.R. Johnson, A. Leal-Duarte (Linear Algebra and Multilinear Algebra 46 (1999) 139-144). Among the possible multiplicity lists for the eigenvalues of Hermitian matrices whose graph is a tree, we focus upon M2, the maximum value of the sum of the two largest multiplicities when the largest multiplicity is M1. Upper and lower bounds are given for M2....
Damir Vukičević, Ivan Gutman (2004)
Kragujevac Journal of Mathematics
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Gerritzen, L. (2004)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 17A50, 05C05. In this note we present the formula for the coefficients of the substitution series f(g(x)) of planar tree power series g(x) into f(x).
Kouider, Mekkia, Vestergaard, Preben Dahl (2006)
Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]
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Piotr Ossowski (1998)
Colloquium Mathematicae
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Andreica, Mugurel Ionuţ, Ţăpuş, Nicolae (2009)
Acta Universitatis Apulensis. Mathematics - Informatics
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