Andrew Hatfield

collaborators

3 papers

math.AC2021

Rings with an elementary abelian $p$ -group of units

Sunil K. Chebolu, Jeremy Corry, Elizabeth Grimm +1

What are all rings $R$ for which $R^{*}$ (the group of invertible elements of $R$ under multiplication) is an elementary abelian $p$ -group? We answer this question for finite-dimensi…

math.CA2021

Trigonometric functions in the $p$ -norm

Sunil Chebolu, Andrew Hatfield, Riley Klette +2

Trigonometry is the study of circular functions, which are functions defined on the unit circle $x^{2} + y^{2} = 1$ , where distances are measured using the Euclidean norm. When distances…

math.CO2021

Hamiltonicity of 3-tough $(K_{2} \cup 3 K_{1})$ -free graphs

Andrew Hatfield, Elizabeth Grimm

Chvátal conjectured in 1973 the existence of some constant $t$ such that all $t$ -tough graphs with at least three vertices are hamiltonian. While the conjecture has been proven for…

Rings with an elementary abelian p-group of units

Trigonometric functions in the p-norm

Hamiltonicity of 3-tough (K2​∪3K1​)-free graphs

Rings with an elementary abelian $p$ -group of units

Trigonometric functions in the $p$ -norm

Hamiltonicity of 3-tough $(K_{2} \cup 3 K_{1})$ -free graphs