Daniel Vallières

activity

20172025

most citedOn the distribution of Iwasawa invariants associated to multigraphs

6 citations · 17 across the 12 of their papers we have counts for

collaborators

Showing 2022Show all

4 papers · 1 filter

math.NT2022★ 3 cited

An analogue of Kida's formula in graph theory

Anwesh Ray, Daniel Vallières

Let $ℓ$ be a rational prime and let $p : Y \to X$ be a Galois cover of finite graphs whose Galois group is a finite $ℓ$ -group. Consider a $Z_{ℓ}$ -tower above…

math.CO2022★ 2 cited

On $Z_{ℓ}^{d}$ -towers of graphs

Sage DuBose, Daniel Vallières

Let $ℓ$ be a rational prime. We show that an analogue of a conjecture of Greenberg in graph theory holds true. More precisely, we show that when $n$ is sufficiently large, the $…

math.CO2022★ 6 cited

On the distribution of Iwasawa invariants associated to multigraphs

Cédric Dion, Antonio Lei, Anwesh Ray +1

Let $ℓ$ be a prime number. The Iwasawa theory of multigraphs is the systematic study of growth patterns in the number of spanning trees in abelian $ℓ$ -towers of multigraphs.…

math.CO2022

The non- $ℓ$ -part of the number of spanning trees in abelian $ℓ$ -towers of multigraphs

Antonio Lei, Daniel Vallières

Let $ℓ$ and $p$ be two distinct primes. We study the $p$ -adic valuation of the number of spanning trees in an abelian $ℓ$ -tower of connected multigraphs. This is analogous to…

An analogue of Kida's formula in graph theory

On Zℓd​-towers of graphs

On the distribution of Iwasawa invariants associated to multigraphs

The non-ℓ-part of the number of spanning trees in abelian ℓ-towers of multigraphs

On $Z_{ℓ}^{d}$ -towers of graphs

The non- $ℓ$ -part of the number of spanning trees in abelian $ℓ$ -towers of multigraphs