Bapat, R. B. ; Rekhi, Pritha (2009) Inverses of q-distance matrices of a tree Linear Algebra and its Applications, 431 (10). pp. 1932-1939. ISSN 0024-3795
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Official URL: http://www.sciencedirect.com/science/article/pii/S...
Related URL: http://dx.doi.org/10.1016/j.laa.2009.06.032
Abstract
The determinant and the inverse of the distance matrix of a tree have been investigated in the literature, following the classical formulas due to Graham and Pollak for the determinant, and due to Graham and Lovàsz for the inverse. We consider two q-analogs of the distance matrix of a tree and obtain formulas for the inverses of the two distance matrices. Yan and Yeh have previously obtained expressions for the determinants of the two distance matrices. Some related results are proved.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| Keywords: | Tree; Distance Matrix; q-distance; Determinant; Inverse |
| ID Code: | 81601 |
| Deposited On: | 07 Feb 2012 05:11 |
| Last Modified: | 07 Feb 2012 05:11 |
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