2 papers
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-ph2025
Tree-tubings and the combinatorics of resurgent Dyson-Schwinger equations
Michael Borinsky, Gerald V. Dunne, Karen Yeats
We give a novel combinatorial interpretation to the perturbative series solutions for a class of Dyson-Schwinger equations. We show how binary tubings of rooted trees with labels f…