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arXiv · 2408.03087

Tiered tree, Parking function and Postnikov-Shapiro algebra

Biswadeep Bagchi·Srinibas Swain
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Abstract

Tiered trees were introduced as a combinatorial object for counting absolutely indecomposable representation of certain quivers and torus orbit of certain homogeneous variety. In this paper, we define a bijection between the set of parallelogram polyominoes and graphical parking functions. Moreover, we defined the space $\mathcal{S}_{G}$ for complete tiered graphs and described tiered graphs in terms of Whitney's operations.

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Biswadeep Bagchi, Srinibas Swain. 2024-08-06. Tiered tree, Parking function and Postnikov-Shapiro algebra. https://arxiv.org/abs/2408.03087

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