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arXiv · 2511.14924

The Generalized Interval Polynomial of a Poset

Ian George·Karen Yeats
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Abstract

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 operations, show that it distinguishes series-parallel posets, and comment on connections to the causal set approach to quantum gravity.

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Ian George, Karen Yeats. 2025-11-18. The Generalized Interval Polynomial of a Poset. https://arxiv.org/abs/2511.14924

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