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math.CO2024
Order Polytopes of Dimension are Ehrhart Positive
Feihu Liu, Guoce Xin, Zihao Zhang
The order polytopes arising from the finite poset were first introduced and studied by Stanley. For any positive integer , Liu and Tsuchiya proved that there exists a non…
math.CO2024
A Combinatorial Decomposition of Knapsack Cones
Guoce Xin, Yingrui Zhang, Zihao Zhang
In this paper, we focus on knapsack cones, a specific type of simplicial cones that arise naturally in the context of the knapsack problem . We pr…