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Mathematics > Combinatorics

arXiv:2207.07213 (math)
[Submitted on 14 Jul 2022 (v1), last revised 31 Jul 2023 (this version, v2)]

Title:On the distribution of Iwasawa invariants associated to multigraphs

Authors:Cédric Dion, Antonio Lei, Anwesh Ray, Daniel Vallières
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Abstract:Let $\ell$ be a prime number. The Iwasawa theory of multigraphs is the systematic study of growth patterns in the number of spanning trees in abelian $\ell$-towers of multigraphs. In this context, growth patterns are realized by certain analogues of Iwasawa invariants, which depend on the prime $\ell$ and the abelian $\ell$-tower of multigraphs. We formulate and study statistical questions about the behaviour of the Iwasawa $\mu$ and $\lambda$ invariants.
Comments: Incorporated referee's suggestions. Accepted for publication in the Nagoya Math J
Subjects: Combinatorics (math.CO); Number Theory (math.NT)
MSC classes: 05C25, 11R23 (primary), 11R18, 11Z05 (secondary)
Cite as: arXiv:2207.07213 [math.CO]
  (or arXiv:2207.07213v2 [math.CO] for this version)
  https://doi.org/10.48550/arXiv.2207.07213
Journal reference: Nagoya Math. J. 253 (2024), pp. 48-90
Related DOI: https://doi.org/10.1017/nmj.2023.18

Submission history

From: Anwesh Ray [view email]
[v1] Thu, 14 Jul 2022 21:39:15 UTC (676 KB)
[v2] Mon, 31 Jul 2023 03:22:35 UTC (680 KB)
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