Bapat, Ravindra B. ; Grossman, Jerrold W. ; Kulkarni, Devadatta M. (2000) Edge version of the matrix tree theorem for trees Linear and Multilinear Algebra, 47 (3). pp. 217-229. ISSN 0308-1087
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Official URL: http://www.informaworld.com/smpp/content~db=all~co...
Related URL: http://dx.doi.org/10.1080/03081080008818646
Abstract
We provide a combinatorial description of all the minors of the edge version of the Laplacian matrix of a mixed tree. The description involves the common SDR's for the forests obtained by deleting from the tree the edge sets corresponding to the row and column indices of the minor.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Taylor and Francis Ltd. |
| Keywords: | Matrix Tree Theorem; Laplacian Matrix; Mixed Graph; Tree; Nonsingular Substructure; System of Distinct Representatives; AMS Subject Classifications (1991): Primary: 05C50; Secondary: 05C05; 15A15 |
| ID Code: | 1412 |
| Deposited On: | 05 Oct 2010 12:29 |
| Last Modified: | 13 May 2011 08:09 |
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