activity
20082019
most citedSum of squares of degrees in a graph

28 citations · 31 across the 6 of their papers we have counts for

collaborators

8 papers

math.CO2019★ 1 cited

Bounding the tripartite-circle crossing number of complete tripartite graphs

Charles Camacho, Silvia Fernández-Merchant, Marija Jelić Milutinović +4

A tripartite-circle drawing of a tripartite graph is a drawing in the plane, where each part of a vertex partition is placed on one of three disjoint circles, and the edges do not…

math.CO2016

Book crossing numbers of the complete graph and small local convex crossing numbers

Bernardo M. Ábrego, Julia Dandurand, Silvia Fernández-Merchant +2

A -page book drawing of a graph is a drawing of on halfplanes with common boundary , a line, where the vertices are on and the edges cannot cross…

math.CO2015

Bishellable drawings of

Bernardo M. Ábrego, Oswin Aichholzer, Silvia Fernández-Merchant +6

The Harary--Hill conjecture, still open after more than 50 years, asserts that the crossing number of the complete graph is $ H(n) = \frac 1 4 \left\lfloor\frac{\mathstrut n}…

math.CO2011

On the maximum number of isosceles right triangles in a finite point set

Bernardo M. Ábrego, Silvia Fernández-Merchant, David B. Roberts

Let be a finite set of points in the plane. For any set of points in the plane, denotes the number of similar copies of contained in . For a fixed , Er…

math.CO2009

Point-sets in general position with many similar copies of a pattern

Bernardo M. Ábrego, Silvia Fernández-Merchant

For every pattern , consisting of a finite set of points in the plane, is defined as the largest number of similar copies of among sets of points in the pla…

math.CO2008★ 1 cited

An inequality for Kruskal-Macaulay functions

Bernardo M. Ábrego, Silvia Fernández-Merchant, Bernardo Llano

Given integers and , there is a unique way of writing as so that …