Christian Bingane

activity

20182022

most citedTight-and-cheap conic relaxation for the optimal reactive power dispatch problem

58 citations · 86 across the 9 of their papers we have counts for

collaborators

Showing 2021Show all

4 papers · 1 filter

math.CO2021★ 5 cited

Tight bounds on the maximal area of small polygons: Improved Mossinghoff polygons

Christian Bingane

A small polygon is a polygon of unit diameter. The maximal area of a small polygon with $n = 2 m$ vertices is not known when $m \geq 7$ . In this paper, we construct, for each $n = 2 m$ an…

math.MG2021★ 2 cited

The equilateral small octagon of maximal width

Christian Bingane, Charles Audet

A small polygon is a polygon of unit diameter. The maximal width of an equilateral small polygon with $n = 2^{s}$ vertices is not known when $s \geq 3$ . This paper solves the first open…

math.MG2021★ 1 cited

Maximal perimeter and maximal width of a convex small polygon

Christian Bingane

A small polygon is a polygon of unit diameter. The maximal perimeter and the maximal width of a convex small polygon with $n = 2^{s}$ sides are unknown when $s \geq 4$ . In this paper, w…

math.OC2021★ 2 cited

Tight bounds on the maximal perimeter of convex equilateral small polygons

Christian Bingane, Charles Audet

A small polygon is a polygon that has diameter one. The maximal perimeter of a convex equilateral small polygon with $n = 2^{s}$ sides is not known when $s \geq 4$ . In this paper, we co…