Geodesic
Inequalities between gamma-polynomials of graph-associahedra
Natalie Aisbett1
1The University of Sydney
The electronic journal of combinatorics, Tome 19 (2012) no. 2
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We prove a conjecture of Postnikov, Reiner and Williams by defining a partial order on the set of tree graphs with $n$ vertices that induces inequalities between the $\gamma$-polynomials of their associated graph-associahedra. The partial order is given by relating trees that can be obtained from one another by operations called tree shifts. We also show that tree shifts lower the $\gamma$-polynomials of graphs that are not trees, as do the flossing moves of Babson and Reiner.
DOI : 10.37236/2401
Classification : 05C30, 05C05
Mots-clés : tree shifts

Natalie Aisbett  1

1 The University of Sydney 
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Natalie Aisbett. Inequalities between gamma-polynomials of graph-associahedra. The electronic journal of combinatorics, Tome 19 (2012) no. 2. doi: 10.37236/2401

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