S. Fernández-Merchant

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20072026

K_{n}

6 citations · 18 across the 7 of their papers we have counts for

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Showing 2015 · math.COShow all

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math.CO2015★ 2 cited

The rectilinear local crossing number of $K_{n}$

Bernardo M. Ábrego, Silvia Fernández-Merchant

We determine $lcr ˉ (K_{n})$ , the rectilinear local crossing number of the complete graph $K_{n}$ for every $n$ . More precisely, for every $n \in / {8, 14},$ \[ {\bar{\r…

math.CO2015

On The Number of Similar Instances of a Pattern in a Finite Set

Bernardo Abrego, Silvia Fernandez-Merchant, Daniel J. Katz +1

New bounds on the number of similar or directly similar copies of a pattern within a finite subset of the line or the plane are proved. The number of equilateral triangles whose ve…

The rectilinear local crossing number of Kn​

On The Number of Similar Instances of a Pattern in a Finite Set

The rectilinear local crossing number of $K_{n}$