R. C. Powers

activity

20152019

collaborators

3 papers

math.RA2019

Medians are below joins in semimodular lattices of breadth 2

Gábor Czédli, Robert C. Powers, Jeremy M. White

Let $L$ be a lattice of finite length and let $d$ denote the minimum path length metric on the covering graph of $L$ . For any $ξ = (x_{1}, \dots, x_{k}) \in L^{k}$ , an element $y$ belonging t…

math.CO2016

Axioms for consensus functions on the n-cube

C. Garcia-Martinez, F. R. McMorris, O. Ortega +1

An elementary general result is proved that allows for simple characterizations of well-known location/consensus functions (median, mean and center) on the n-cube. In addition, alt…

math.MG2015

A strong triangle inequality in hyperbolic geometry

Csaba Biró, Robert C. Powers

For a triangle in the hyperbolic plane, let $α, β, γ$ denote the angles opposite the sides $a, b, c$ , respectively. Also, let $h$ be the height of the altitude to side $c$ . Under the a…