We introduce two "polynomial invariants" for rooted trees and discuss their properties. A statistical mechanics interpretation is pointed out. In particular, we show that the partition function of the Ising model, in the simple surface separation ensemble, is a complete invariant.
Conti, R., Contucci, P., Falcolini, C. (1998). Polynomial invariants for trees a statistical mechanics approach. DISCRETE APPLIED MATHEMATICS, 81(1-3), 225-237 [10.1016/S0166-218X(97)88003-1].
Polynomial invariants for trees a statistical mechanics approach
Contucci P.;
1998
Abstract
We introduce two "polynomial invariants" for rooted trees and discuss their properties. A statistical mechanics interpretation is pointed out. In particular, we show that the partition function of the Ising model, in the simple surface separation ensemble, is a complete invariant.File in questo prodotto:
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