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

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math.MG2022

Small polygons with large area

Christian Bingane, Michael J. Mossinghoff

A polygon is \textit{small} if it has unit diameter. The maximal area of a small polygon with a fixed number of sides $n$ is not known when $n$ is even and $n \geq 14$ . We determine…

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…