1 citations · 1 across the 5 of their papers we have counts for
5 papers
Markoff triples and Nielsen equivalence in
Daniel E. Martin
In 2013, Darryl McCullough and Marcus Wanderley made a series of conjectures that describe the Nielsen equivalence classes and -equivalence classes of pairs of generators for…
A new proof of Chen's theorem for Markoff graphs
Daniel E. Martin
In 2021, Chen proved a congruence for the degree of a certain map on the space of covers of elliptic curves. He concluded as a corollary that the size of any connected component of…
Lower bounds on the -rank of ideal class groups
Daniel E. Martin
For a prime number and an extension of number fields , we prove new lower bounds on the -rank of the ideal class group of based on prime ramification in …
The number of independent sets in bipartite graphs and benzenoids
Michael Han, Sycamore Herlihy, Kirsti Kuenzel +2
Given a graph , we study the number of independent sets in , denoted . This parameter is known as both the Merrifield-Simmons index of a graph as well as the Fibonacci…
Connectivity of Markoff mod-p graphs and maximal divisors
Jillian Eddy, Elena Fuchs, Matthew Litman +2
Markoff mod- graphs are conjectured to be connected for all primes . In this paper, we use results of Chen and Bourgain, Gamburd, and Sarnak to confirm the conjecture for all…