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arXiv · 2106.07494

Subdivergence-free gluings of trees

Xinle Dai·Jordan Long·Karen Yeats
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Abstract

A gluing of two rooted trees is an identification of their leaves and un-subdivision of the resulting 2-valent vertices. A gluing of two rooted trees is subdivergence free if it has no 2-edge cuts with both roots on the same side of the cut. The problem and language is motivated by quantum field theory. We enumerate subdivergence-free gluings for certain families of trees, showing a connection with connected permutations, and we give algorithms to compute subdivergence-free gluings.

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Xinle Dai, Jordan Long, Karen Yeats. 2025-01-10. Subdivergence-free gluings of trees. https://arxiv.org/abs/2106.07494

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