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math.CO2021
Edge partitions of the complete graph and a determinant like function
Steven R. Lippold, Mihai D. Staic, Alin Stancu
In this paper we prove the case of a conjecture about the exterior operad . For this we introduce a collection of natural involutions on the set of homo…
math.DG2021
The fundamental gap of horoconvex domains in
Xuan Hien Nguyen, Alina Stancu, Guofang Wei
We show that, for horoconvex domains in the hyperbolic space, the product of their fundamental gap with the square of their diameter has no positive lower bound. The result follows…