Bernardo M. Ábrego

Publication Activity (10 Years)

Years Active: 1999-2024
Publications (10 Years): 13

Top Topics

Bipartite Graph

Computational Geometry

Top Venues

SIAM J. Discret. Math.

J. Comb. Theory, Ser. A

Publications

Bernardo M. Ábrego, Silvia Fernández-Merchant, Oswin Aichholzer, Jesús Leaños, Gelasio Salazar
There is a unique crossing-minimal rectilinear drawing of K_18. Ars Math. Contemp. 24 (2) (2024)
Bernardo M. Ábrego, Julia Kinzel, Silvia Fernández-Merchant, Evgeniya Lagoda, Yakov Sapozhnikov
On Book Crossing Numbers of the Complete Graph. SIAM J. Discret. Math. 38 (2) (2024)
Bernardo M. Ábrego, Silvia Fernández-Merchant
The outerplanar crossing number of the complete bipartite graph. Discret. Appl. Math. 321 (2022)
Bernardo M. Ábrego, Silvia Fernández-Merchant, Ana Paulina Figueroa, Juan José Montellano-Ballesteros, Eduardo Rivera-Campo
The Crossing Number of Twisted Graphs. Graphs Comb. 38 (5) (2022)
Bernardo M. Ábrego, Julia Dandurand, Silvia Fernández-Merchant
The crossing number of centrally symmetric complete geometric graphs. LAGOS (2021)
Bernardo M. Ábrego, Silvia Fernández-Merchant, Athena Sparks
The Bipartite-Cylindrical Crossing Number of the Complete Bipartite Graph. Graphs Comb. 36 (2) (2020)
Bernardo M. Ábrego, Silvia Fernández-Merchant, Evgeniya Lagoda, Pedro Ramos
with Prescribed Number of Edges in Each Page. Graphs Comb. 36 (2) (2020)
Bernardo M. Ábrego, Silvia Fernández-Merchant, Mikio Kano, David Orden, Pablo Pérez-Lantero, Carlos Seara, Javier Tejel
-covering red and blue points in the plane. Discret. Math. Theor. Comput. Sci. 21 (3) (2019)
Bernardo M. Ábrego, Oswin Aichholzer, Silvia Fernández-Merchant, Dan McQuillan, Bojan Mohar, Petra Mutzel, Pedro Ramos, R. Bruce Richter, Birgit Vogtenhuber
. SIAM J. Discret. Math. 32 (4) (2018)
Bernardo M. Ábrego, Silvia Fernández-Merchant, Mikio Kano, David Orden, Pablo Pérez-Lantero, Carlos Seara, Javier Tejel
$K_{1, 3}$-covering red and blue points in the plane. CoRR (2017)
Bernardo M. Ábrego, Kory Dondzila, Silvia Fernández-Merchant, Evgeniya Lagoda, Seyed Sajjadi, Yakov Sapozhnikov
. J. Inf. Process. 25 (2017)
Bernardo M. Ábrego, Silvia Fernández-Merchant
. J. Comb. Theory, Ser. A 151 (2017)
Bernardo M. Ábrego, Silvia Fernández-Merchant, Daniel J. Katz, Levon Kolesnikov
On the Number of Similar Instances of a Pattern in a Finite Set. Electron. J. Comb. 23 (4) (2016)
Bernardo M. Ábrego, Oswin Aichholzer, Silvia Fernández-Merchant, Dan McQuillan, Bojan Mohar, Petra Mutzel, Pedro Ramos, R. Bruce Richter, Birgit Vogtenhuber
. CoRR (2015)
Bernardo M. Ábrego, Adrian Dumitrescu, Silvia Fernández, Csaba D. Tóth
Computational Geometry Column 61. SIGACT News 46 (2) (2015)
Bernardo M. Ábrego, Silvia Fernández-Merchant, Csaba D. Tóth
Graduate Workshop Recent Trends in Graph Drawing: Curves, Graphs, and Intersections. Graph Drawing (2015)
Bernardo M. Ábrego, Silvia Fernández-Merchant, Daniel J. Katz, Levon Kolesnikov
On The Number of Similar Instances of a Pattern in a Finite Set. CoRR (2015)
Bernardo M. Ábrego, Oswin Aichholzer, Silvia Fernández-Merchant, Pedro Ramos, Gelasio Salazar
. Discret. Comput. Geom. 52 (4) (2014)
Bernardo M. Ábrego, Oswin Aichholzer, Silvia Fernández-Merchant, Pedro Ramos, Birgit Vogtenhuber
with Few Crossings. CCCG (2014)
Bernardo M. Ábrego, Ruy Fabila Monroy, Silvia Fernández-Merchant, David Flores-Peñaloza, Ferran Hurtado, Henk Meijer, Vera Sacristán, Maria Saumell
Proximity graphs inside large weighted graphs. Networks 61 (1) (2013)
Bernardo M. Ábrego, Oswin Aichholzer, Silvia Fernández-Merchant, Pedro Ramos, Gelasio Salazar
Shellable drawings and the cylindrical crossing number of $K_n$. CoRR (2013)
Bernardo M. Ábrego, Oswin Aichholzer, Silvia Fernández-Merchant, Pedro Ramos, Gelasio Salazar
. Discret. Comput. Geom. 49 (4) (2013)
Bernardo M. Ábrego, Oswin Aichholzer, Silvia Fernández-Merchant, Pedro Ramos, Gelasio Salazar
: Monotone drawings. Electron. Notes Discret. Math. 44 (2013)
Bernardo M. Ábrego, Oswin Aichholzer, Silvia Fernández-Merchant, Pedro Ramos, Gelasio Salazar
CoRR (2012)
Bernardo M. Ábrego, Oswin Aichholzer, Silvia Fernández-Merchant, Pedro Ramos, Gelasio Salazar
. SCG (2012)
Bernardo M. Ábrego, Mario Cetina, Silvia Fernández-Merchant, Jesús Leaños, Gelasio Salazar
On ≤k-Edges, Crossings, and Halving Lines of Geometric Drawings of K n. Discret. Comput. Geom. 48 (1) (2012)
Bernardo M. Ábrego, Mario Cetina, Jesús Leaños, Gelasio Salazar
Visibility-preserving convexifications using single-vertex moves. Inf. Process. Lett. 112 (5) (2012)
Bernardo M. Ábrego, Mario Cetina, Silvia Fernández-Merchant, Jesús Leaños, Gelasio Salazar
CoRR (2011)
Bernardo M. Ábrego, Ruy Fabila Monroy, Silvia Fernández-Merchant, David Flores-Peñaloza, Ferran Hurtado, Vera Sacristán, Maria Saumell
On crossing numbers of geometric proximity graphs. Comput. Geom. 44 (4) (2011)
Bernardo M. Ábrego, Mario Cetina, Jesús Leaños, Gelasio Salazar
Visibility-preserving convexifications using single-vertex moves CoRR (2011)
Oswin Aichholzer, Bernardo M. Ábrego, Silvia Fernández-Merchant, Jesús Leaños, Gelasio Salazar
. Electron. Notes Discret. Math. 38 (2011)
Bernardo M. Ábrego, Silvia Fernández-Merchant, Bernardo Llano
On the Maximum Number of Translates in a Point Set. Discret. Comput. Geom. 43 (1) (2010)
Bernardo M. Ábrego, Mario Cetina, Silvia Fernández-Merchant, Jesús Leaños, Gelasio Salazar
. Discret. Appl. Math. 158 (12) (2010)
Bernardo M. Ábrego, Esther M. Arkin, Silvia Fernández-Merchant, Ferran Hurtado, Mikio Kano, Joseph S. B. Mitchell, Jorge Urrutia
Matching Points with Squares. Discret. Comput. Geom. 41 (1) (2009)
Bernardo M. Ábrego, Silvia Fernández-Merchant, Jesús Leaños, Gelasio Salazar
A central approach to bound the number of crossings in a generalized configuration. Electron. Notes Discret. Math. 30 (2008)
Bernardo M. Ábrego, Silvia Fernández-Merchant, Jesús Leaños, Gelasio Salazar
for n. Electron. Notes Discret. Math. 30 (2008)
Bernardo M. Ábrego, József Balogh, Silvia Fernández-Merchant, Jesús Leaños, Gelasio Salazar
. J. Comb. Theory, Ser. A 115 (7) (2008)
Bernardo M. Ábrego, Silvia Fernández-Merchant
with few crossings. J. Comb. Theory, Ser. A 114 (2) (2007)
Bernardo M. Ábrego, Silvia Fernández-Merchant
A Lower Bound for the Rectilinear Crossing Number. Graphs Comb. 21 (3) (2005)
Shahin Amrabov, Bernardo M. Ábrego
An Application of Fermat's Little Theorem: 11054. Am. Math. Mon. 112 (8) (2005)
Bernardo M. Ábrego, György Elekes, Silvia Fernández-Merchant
Structural Results For Planar Sets With Many Similar Subsets. Comb. 24 (4) (2004)
Rick Mabry, Bernardo M. Ábrego
The Envelope, Please: 10990. Am. Math. Mon. 111 (9) (2004)
Bernardo M. Ábrego, Esther M. Arkin, Silvia Fernández-Merchant, Ferran Hurtado, Mikio Kano, Joseph S. B. Mitchell, Jorge Urrutia
Matching Points with Circles and Squares. JCDCG (2004)
Bernardo M. Ábrego, Silvia Fernández-Merchant
The Unit Distance Problem for Centrally Symmetric Convex Polygons. Discret. Comput. Geom. 28 (4) (2002)
Bernardo M. Ábrego, Silvia Fernández-Merchant
) Congruent Triangles. J. Comb. Theory, Ser. A 98 (2) (2002)
Bernardo M. Ábrego, Silvia Fernández-Merchant
On the Maximum Number of Equilateral Triangles, I. Discret. Comput. Geom. 23 (1) (2000)
Bernardo M. Ábrego, Jorge L. Arocha, Silvia Fernández-Merchant, Victor Neumann-Lara
Tightness problems in the plane. Discret. Math. 194 (1-3) (1999)