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Factorizations of some weighted spanning tree enumerators
Martin, Jeremy L. ; Reiner, Victor
Martin, Jeremy L.
Reiner, Victor
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Abstract
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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This is the author's accepted manuscript.
Date
2003-11
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Elsevier
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Citation
Factorizations of some weighted spanning tree enumerators (with Victor Reiner), Journal of Combinatorial Theory, Series A 104, no. 2 (2003), 287--300.