6 citations · 17 across the 12 of their papers we have counts for
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On -towers of graphs
Sage DuBose, Daniel Vallières
Let 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 is sufficiently large, the $…
On the distribution of Iwasawa invariants associated to multigraphs
Cédric Dion, Antonio Lei, Anwesh Ray +1
Let be a prime number. The Iwasawa theory of multigraphs is the systematic study of growth patterns in the number of spanning trees in abelian -towers of multigraphs.…
The non--part of the number of spanning trees in abelian -towers of multigraphs
Antonio Lei, Daniel Vallières
Let and be two distinct primes. We study the -adic valuation of the number of spanning trees in an abelian -tower of connected multigraphs. This is analogous to…
On abelian -towers of multigraphs III
Kevin J. McGown, Daniel Vallières
Let be a rational prime. Previously, abelian -towers of multigraphs were introduced which are analogous to -extensions of number fields. It was shown that f…
On abelian -towers of multigraphs II
Kevin J. McGown, Daniel Vallières
Let be a rational prime. Previously, abelian -towers of multigraphs were introduced which are analogous to -extensions of number fields. It was show…
On abelian -towers of multigraphs
Daniel Vallières
We study how the -adic valuation of the number of spanning trees varies in regular abelian -towers of multigraphs. We show that for an infinite family of regular abelia…