Carlos Hidalgo-Toscano

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All published works

Action	Title	Year	Authors
+ PDF Chat	No selection lemma for empty triangles	2024	Ruy Fabila‐Monroy Carlos Hidalgo-Toscano Daniel Perz Birgit Vogtenhuber
+	No Selection Lemma for Empty Triangles	2022	Ruy Fabila‐Monroy Carlos Hidalgo-Toscano Daniel Perz Birgit Vogtenhuber
+ PDF Chat	Stochastic strategies for patrolling a terrain with a synchronized multi-robot system	2021	L.E. Caraballo José Miguel Díaz-Báñez Ruy Fabila‐Monroy Carlos Hidalgo-Toscano
+ PDF Chat	Non-crossing monotone paths and binary trees in edge-ordered complete geometric graphs	2021	Frank Duque Ruy Fabila‐Monroy Carlos Hidalgo-Toscano Pablo Pérez-Lantero
+ PDF Chat	No Selection Lemma for Empty Triangles	2021	Ruy Fabila‐Monroy Carlos Hidalgo-Toscano Daniel Perz Birgit Vogtenhuber
+ PDF Chat	On the number of order types in integer grids of small size	2020	L.E. Caraballo José Miguel Díaz-Báñez Ruy Fabila‐Monroy Carlos Hidalgo-Toscano Jesús Leaños Amanda Montejano
+ PDF Chat	Counting the number of crossings in geometric graphs	2020	Frank Duque Ruy Fabila‐Monroy César Hernández-Vélez Carlos Hidalgo-Toscano
+	The Chromatic Number of the Disjointness Graph of the Double Chain	2020	Mario Lomelí-Haro Jesús Leaños Carlos Hidalgo-Toscano Ruy Fabila‐Monroy
+	An Ongoing Project to Improve the Rectilinear and the Pseudolinear Crossing Constants	2020	Oswin Aichholzer Frank Duque Ruy Fabila‐Monroy Oscar E. García-Quintero Carlos Hidalgo-Toscano
+	Chirotopes of Random Points in Space are Realizable on a Small Integer Grid	2020	Jean Cardinal Ruy Fabila‐Monroy Carlos Hidalgo-Toscano
+	On the 2-colored crossing number	2019	Oswin Aichholzer Ruy Fabila‐Monroy Adrian Fuchs Carlos Hidalgo-Toscano Irene Parada Birgit Vogtenhuber Francisco J. Zaragoza
+	An Ongoing Project to Improve the Rectilinear and the Pseudolinear Crossing Constants	2019	Oswin Aichholzer Frank Duque Ruy Fabila‐Monroy Carlos Hidalgo-Toscano Oscar E. García-Quintero
+	Counting the Number of Crossings in Geometric Graphs	2019	Frank Duque Ruy Fabila‐Monroy César Hernández-Vélez Carlos Hidalgo-Toscano
+	Chirotopes of Random Points in Space are Realizable on a Small Integer Grid.	2019	Jean Cardinal Ruy Fabila Monroy Carlos Hidalgo-Toscano
+	Counting the Number of Crossings in Geometric Graphs	2019	Frank Duque Ruy Fabila‐Monroy César Hernández-Vélez Carlos Hidalgo-Toscano
+	On the 2-colored crossing number	2019	Oswin Aichholzer Ruy Fabila‐Monroy Adrian V. Fuchs Carlos Hidalgo-Toscano Irene Parada Birgit Vogtenhuber Francisco Torrens Zaragozá
+	An Ongoing Project to Improve the Rectilinear and the Pseudolinear Crossing Constants	2019	Oswin Aichholzer Frank Duque Ruy Fabila‐Monroy Carlos Hidalgo-Toscano Oscar E. García-Quintero
+	On the Number of Order Types in Integer Grids of Small Size	2018	Luis-Evaristo Caraballo José Miguel Díaz-Báñez Ruy Fabila‐Monroy Carlos Hidalgo-Toscano Jesús Leaños Amanda Montejano
+	Optimal Grid Drawings of Complete Multipartite Graphs and an Integer Variant of the Algebraic Connectivity	2018	Ruy Fabila‐Monroy Carlos Hidalgo-Toscano Clemens Huemer Dolores Lara Dieter Mitsche
+ PDF Chat	Optimal Grid Drawings of Complete Multipartite Graphs and an Integer Variant of the Algebraic Connectivity	2018	Ruy Fabila‐Monroy Carlos Hidalgo-Toscano Clemens Huemer Dolores Lara Dieter Mitsche
+	On the Number of Order Types in Integer Grids of Small Size	2018	Luis-Evaristo Caraballo José Miguel Díaz-Báñez Ruy Fabila‐Monroy Carlos Hidalgo-Toscano Jesús Leaños Amanda Montejano
+	Optimal Grid Drawings of Complete Multipartite Graphs and an Integer Variant of the Algebraic Connectivity	2018	Ruy Fabila‐Monroy Carlos Hidalgo-Toscano Clemens Huemer Dolores Lara Dieter Mitsche
+ PDF Chat	Point Sets with Small Integer Coordinates and No Large Convex Polygons	2017	Frank Duque Ruy Fabila‐Monroy Carlos Hidalgo-Toscano
+ PDF Chat	Drawing the almost convex set in an integer grid of minimum size	2017	Frank Duque Ruy Fabila‐Monroy Carlos Hidalgo-Toscano Pablo Pérez-Lantero
+	Non-crossing Monotone Paths and Binary Trees in Edge-ordered Complete Geometric Graphs	2017	Frank Duque Ruy Fabila‐Monroy Carlos Hidalgo-Toscano Pablo Pérez-Lantero
+	Drawing the Horton set in an integer grid of minimum size	2017	Luis Barba Frank Duque Ruy Fabila‐Monroy Carlos Hidalgo-Toscano
+	The Chromatic Number of the Disjointness Graph of the Double Chain	2017	Ruy Fabila‐Monroy Carlos Hidalgo-Toscano Jesús Leaños Mario Lomelí-Haro
+	Non-crossing Monotone Paths and Binary Trees in Edge-ordered Complete Geometric Graphs	2017	Frank Duque Ruy Fabila‐Monroy Carlos Hidalgo-Toscano Pablo Pérez-Lantero
+	Drawing the Almost Convex Set in an Integer Grid of Minimum Size	2016	Frank Duque Ruy Fabila‐Monroy Carlos Hidalgo-Toscano Pablo Pérez-Lantero
+	Drawing the Almost Convex Set in an Integer Grid of Minimum Size	2016	Frank Duque Ruy Fabila‐Monroy Carlos Hidalgo-Toscano Pablo Pérez-Lantero
+ PDF Chat	An Upper Bound on the k-Modem Illumination Problem	2015	Frank Duque Carlos Hidalgo-Toscano

Common Coauthors

Coauthor	Papers Together
Ruy Fabila‐Monroy	29
Frank Duque	15
Pablo Pérez-Lantero	6
Birgit Vogtenhuber	5
Jesús Leaños	5
Oswin Aichholzer	5
Luis-Evaristo Caraballo	4
José Miguel Díaz-Báñez	4
Dolores Lara	3
Dieter Mitsche	3
Amanda Montejano	3
Clemens Huemer	3
Daniel Perz	3
Oscar E. García-Quintero	3
César Hernández-Vélez	3
Jean Cardinal	2
Irene Parada	2
Mario Lomelí-Haro	2
Francisco J. Zaragoza	1
Ruy Fabila Monroy	1
Adrian V. Fuchs	1
Adrian Fuchs	1
Luis Barba	1
Francisco Torrens Zaragozá	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Coordinate representation of order types requires exponential storage	1989	Jacob E. Goodman Richard Pollack Bernd Sturmfels	6
+	Drawing the Horton set in an integer grid of minimum size	2017	Luis Barba Frank Duque Ruy Fabila‐Monroy Carlos Hidalgo-Toscano	4
+ PDF Chat	A Combinatorial Problem in Geometry	2009	P. Erdős G. Szckeres	4
+	Computational search of small point sets with small rectilinear crossing number	2014	Ruy Fabila‐Monroy Jorge López	4
+	An Ongoing Project to Improve the Rectilinear and the Pseudolinear Crossing Constants	2020	Oswin Aichholzer Frank Duque Ruy Fabila‐Monroy Oscar E. García-Quintero Carlos Hidalgo-Toscano	3
+	EMBEDDING THE DOUBLE CIRCLE IN A SQUARE GRID OF MINIMUM SIZE	2014	Sergey Bereg Ruy Fabila‐Monroy David Flores‐Peñaloza Mario A. López Pablo Pérez-Lantero	3
+	Multidimensional Sorting	1983	Jacob E. Goodman Richard Pollack	3
+	On empty triangles determined by points in the plane	1988	Meir Katchalski A. Meir	3
+	A generalization of carathéodory's theorem	1982	Imre Bárány	2
+ PDF Chat	Point Selections and Weak ε-Nets for Convex Hulls	1992	Noga Alon Imre Bárány Zoltán Füredi Daniel J. Kleitman	2
+ PDF Chat	Centroidal Voronoi Tessellations: Applications and Algorithms	1999	Qiang Du Vance Faber Max Gunzburger	2
+ PDF Chat	Large Monotone Paths in Graphs with Bounded Degree	2001	Raphael Yuster	2
+	Research Problems in Discrete Geometry	2005	János Pach Peter Braß W. O. J. Moser	2
+ PDF Chat	Many Empty Triangles have a Common Edge	2013	Imre Bárány Jean‐François Marckert Matthias Reitzner	2
+	Increasing Hamiltonian paths in random edge orderings	2015	M. I. Lavrov Po‐Shen Loh	2
+	4-Holes in point sets	2014	Oswin Aichholzer Ruy Fabila‐Monroy Hernàn González-Aguilar Thomas Hackl Marco A. Heredia Clemens Huemer Jorge Urrutia Birgit Vogtenhuber	2
+	Increasing paths in edge-ordered graphs: the hypercube and random graphs	2015	Jessica De Silva Theodore Molla Florian Pfender Troy Retter Michael Tait	2
+	On the number of halving planes	1990	Imre Bárány Zoltán Füredi László Lovász	2
+	Altitude of regular graphs with girth at least five	2005	Christina M. Mynhardt Alewyn P. Burger T.C. Clark B. Falvai N.D.R. Henderson	2
+	�ber die Gitterpunkte auf konvexen Kurven	1926	Vojtěch Jarník	2
+ PDF Chat	Some Combinatorial Theorems on Monotonicity	1971	Vašek Chvátal János Komlós	2
+	None	2003	Gábor Kun Gábor Lippner	2
+ PDF Chat	Open Caps and Cups in Planar Point Sets	2007	Pável Valtr	2
+	Eppstein's bound on intersecting triangles revisited	2008	Gabriel Nivasch Micha Sharir	2
+ PDF Chat	Algebraic connectivity of graphs	1973	Miroslav Fiedler	2
+ PDF Chat	Empty Convex Hexagons in Planar Point Sets	2007	Tobias Gerken	2
+	Drawing the double circle on a grid of minimum size	2013	Sergey Bereg Ruy Fabila Monroy David Flores Peñaloza Mario A. López Pablo Pérez Lantero	2
+	Laplace eigenvalues and bandwidth‐type invariants of graphs	1993	Martin Juvan Bojan Mohar	2
+ PDF Chat	Improved bounds for intersecting triangles and halving planes	1993	David Eppstein	2
+	On a Problem of Heilbronn	1951	K. F. Roth	2
+ PDF Chat	Points and triangles in the plane and halving planes in space	1991	Boris Aronov Bernard Chazelle Herbert Edelsbrunner Leonidas Guibas Micha Sharir Rephael Wenger	2
+	The bandwidth problem for graphs and matrices—a survey	1982	Phyllis Zweig Chinn Jarmila Chvátalová A. K. Dewdney Norman E. Gibbs	2
+ PDF Chat	Monotone paths in edge-ordered sparse graphs	2001	Y. Roditty B. Shoham Raphael Yuster	2
+ PDF Chat	A monotone path in an edge-ordered graph	1986	Arie Bialostocki Y. Roditty	2
+	Konvexe Fünfecke in ebenen Punktmengen.	1978	Heiko Harborth	2
+ PDF Chat	Empty Simplices in Euclidean Space	1987	Imre Bárány Zoltán Füredi	1
+	Kneser's conjecture, chromatic number, and homotopy	1978	László Lovász	1
+	On the Number of Plane Geometric Graphs	2007	Oswin Aichholzer Thomas Hackl Clemens Huemer Ferrán Hurtado Hannes Krasser Birgit Vogtenhuber	1
+	Combinatorial Theorems on Classifications of Subsets of a Given Set	1952	P. Erdős R. Rado	1
+	On the distribution of order types	1992	Jürgen Bokowski Jürgen Richter-Gebert Werner Schindler	1
+ PDF Chat	The maximum size of a convex polygon in a restricted set of points in the plane	1989	Noga Alon Meir Katchalski William R. Pulleyblank	1
+	Monochromatic empty triangles in two-colored point sets	2011	János Pach Gézá Tóth	1
+	Clusters of stars	1997	Ileana Streinu	1
+	Universal Sets for Straight-Line Embeddings of Bicolored Graphs	2012	Josef Cibulka Jan Kynčl Viola Mészáros Rudolf Stolař Pável Valtr	1
+ PDF Chat	On the chromatic number of some geometric type Kneser graphs	2004	Gabriela Araujo‐Pardo Adrian Dumitrescu F. Hurtado Marc Noy Jorge Urrutia	1
+	Applications of random sampling in computational geometry, II	1988	Kenneth L. Clarkson	1
+ PDF Chat	Stochastic surveillance strategies for spatial quickest detection	2013	Vaibhav Srivastava Fabio Pasqualetti Francesco Bullo	1
+	Lower bounds for approximation by nonlinear manifolds	1968	Hugh E. Warren	1
+	The Intrinsic Spread of a Configuration in R d	1990	Jacob E. Goodman Richard Pollack Bernd Sturmfels	1
+ PDF Chat	On the Number of Arrangements of Pseudolines	1997	Stefan Felsner	1