Subdivision of complexes of k-Trees

Details Subdivision of complexes of k-Trees Subdivision of complexes of k-Trees

2005-09-16

arxiv.org/abs/math/0509378v1

Mathematics

Combinatorics

9 pages, 1 figure

Scientific paper

Consider the poset of partitions of {1,...(n-1)k+1} with block sizes
congruent to 1 modulo k. We prove that its order complex is a subdivision of
the complex of k-trees, thereby answering a question posed by Feichtner. The
result is obtained by an ad-hoc generalization of concepts from the theory of
nested set complexes to non-lattices.

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