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math.CO2008★ 8 cited
Fibonacci Identities and Graph Colorings
Christopher J. Hillar, Troels Windfeldt
We generalize both the Fibonacci and Lucas numbers to the context of graph colorings, and prove some identities involving these numbers. As a corollary we obtain new proofs of some…
math.AC2008
An Algorithm for Finding Symmetric Gröbner Bases in Infinite Dimensional Rings
Matthias Aschenbrenner, Christopher J. Hillar
A \textit{symmetric ideal} is an ideal that is invariant under the natural action of the infinite symmetric group. We give an explicit algorithm to…