Solution to a combinatorial puzzle arising from Mayer's theory of cluster integrals.
Bernardi, Olivier (2007)
Séminaire Lotharingien de Combinatoire [electronic only]
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Bernardi, Olivier (2007)
Séminaire Lotharingien de Combinatoire [electronic only]
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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
Hernando, Carmen, Mora, Mercè, Pelayo, Ignacio M., Seara, Carlos, Wood, David R. (2010)
The Electronic Journal of Combinatorics [electronic only]
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Muhuo Liu (2010)
Kragujevac Journal of Mathematics
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Jiménez, A., Kiwi, M., Loebl, M. (2010)
The Electronic Journal of Combinatorics [electronic only]
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Alanko, Samu, Crevals, Simon, Isopoussu, Anton, Östergård, Patric, Pettersson, Ville (2011)
The Electronic Journal of Combinatorics [electronic only]
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Miermont, Grégory, Weill, Mathilde (2008)
Electronic Journal of Probability [electronic only]
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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).
Kishori P. Narayankar, S. B. Lokesh, Veena Mathad, Ivan Gutman (2012)
Kragujevac Journal of Mathematics
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Piotr Ossowski (1998)
Colloquium Mathematicae
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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....
Sheikholeslami, S.M. (2007)
Matematichki Vesnik
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