30 citations · 81 across the 15 of their papers we have counts for
Showing 2016Show all
3 papers · 1 filter
math.CO2016
The additive structure of the squares inside rings
David Cushing, G. W. Stagg
When defining the amount of additive structure on a set it is often convenient to consider certain sumsets; Calculating the cardinality of these sumsets can elucidate the set's und…
math.NT2016★ 1 cited
Powerful numbers and the ABC-conjecture
David Cushing, James Eldred Pascoe
The conjecture is a very deep concept in number theory with wide application to many areas of number theory. In this article we introduce the conjecture and give examples of…
math.CO2016★ 26 cited
Bakry-Émery curvature functions of graphs
David Cushing, Shiping Liu, Norbert Peyerimhoff
We study the Bakry-Émery curvature function of a vertex in a locally finite graph systematically. Here $\mathcal{K}_{G,x}(\math…