The determinant of q-distance matrices of trees and two quantities relating to permutations

Details The determinant of q-distance matrices of trees and two quantities relating to permutations The determinant of q-distance matrices of trees and two quantities relating to permutations

2006-02-08

arxiv.org/abs/math/0602159v2

Mathematics

Combinatorics

12 pages, 1 figure

Scientific paper

10.1016/j.aam.2006.04.002

In this paper we prove that two quantities relating to the length of
permutations defined on trees are independent of the structures of trees. We
also find that these results are closely related to the results obtained by
Graham and Pollak (Bell System Tech. J. 50(1971) 2495--2519) and by Bapat,
Kirkland, and Neumann (Linear Alg. Appl. 401(2005) 193--209).

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