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arXiv · 2412.12633

Arborescences of Random Covering Graphs

Muchen Ju·Junjie Ni·Kaixin Wang·Yihan Xiao
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Abstract

A rooted arborescence of a directed graph is a spanning tree directed towards a particular vertex. A recent work of Chepuri et al. showed that the arborescences of a covering graph of a directed graph G are closely related to the arborescences of G. In this paper, we study the weighted sum of arborescences of a random covering graph and give a formula for the expected value, resolving a conjecture of Chepuri et al.

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Muchen Ju, Junjie Ni, Kaixin Wang, Yihan Xiao. 2025-06-05. Arborescences of Random Covering Graphs. https://arxiv.org/abs/2412.12633

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