Factorizations of some weighted spanning tree enumerators

Details Factorizations of some weighted spanning tree enumerators Factorizations of some weighted spanning tree enumerators

2003-02-18

arxiv.org/abs/math/0302213v2

J. Combin. Theory Ser. A 104, no. 2 (2003), pp. 287--300.

Mathematics

Combinatorics

Final version, 12 pages. To appear in the Journal of Combinatorial Theory, Series A. The paper has been reorganized, and the p

Scientific paper

We give factorizations for weighted spanning tree enumerators of Cartesian
products of complete graphs, keeping track of fine weights related to degree
sequences and edge directions. Our methods combine Kirchhoff's Matrix-Tree
Theorem with the technique of identification of factors.

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