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math.CO2026
Path Covering Spaces of Posets
Matteus Froese, Ian George
In this paper we extend results concerning a kind of covering space for finite posets that bears some analogy to the topological theory of covering spaces. Previous work focused on…
math.CO2025
The Generalized Interval Polynomial of a Poset
Ian George, Karen Yeats
For any finite poset we define a generating polynomial counting upsets, downsets, and their intersection. We investigate the behaviour of this polynomial with respect to poset oper…
math.CO2025
The Degree Polynomial
Jason I. Brown, Ian C. George
The degree polynomial of a multigraph is given by $\sum _{v \in V(G)} x^{\mbox{deg}(v)}$. We investigate here properties of the roots of such polynomials. In addition to examin…