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

被引：19
作者：
Yan, Weigen [1 ]
Yeh, Yeong-Nan
机构：
[1] Jimei Univ, Sch Sci, Xiamen 361021, Peoples R China
[2] Acad Sinica, Inst Math, Taipei 11529, Taiwan
来源：
ADVANCES IN APPLIED MATHEMATICS | 2007年 / 39卷 / 03期
关键词：
D O I：
10.1016/j.aam.2006.04.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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 [R.L. Graham, H.O. Pollak, On the addressing problem for loop switching, Bell System Tech. J. 50 (1971) 2495-2519] and by Bapat, Kirkland, and Neumann [R. Bapat, S.J. Kirkland, M. Neumann, On distance matrices and Laplacians, Linear Algebra Appl. 401 (2005) 193-209]. (c) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码：311 / 321
页数：11
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