Gelasio Salazar

Orcid: 0000-0002-8458-3930

According to our database1, Gelasio Salazar authored at least 75 papers between 1998 and 2023.

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Bibliography

2023
Crossing numbers of complete bipartite graphs.
Proceedings of the XII Latin-American Algorithms, Graphs and Optimization Symposium, 2023

2022
Convex drawings of the complete graph: topology meets geometry.
Ars Math. Contemp., 2022

2021
Drawings of complete graphs in the projective plane.
J. Graph Theory, 2021

2020
Toroidal grid minors and stretch in embedded graphs.
J. Comb. Theory, Ser. B, 2020

Embeddability of Arrangements of Pseudocircles and Graphs on Surfaces.
Discret. Comput. Geom., 2020

2019
On the Number of Unknot Diagrams.
SIAM J. Discret. Math., 2019

Closing in on Hill's Conjecture.
SIAM J. Discret. Math., 2019

2018
Levi's Lemma, pseudolinear drawings of Kn, and empty triangles.
J. Graph Theory, 2018

2017
On the Pseudolinear Crossing Number.
J. Graph Theory, 2017

Arrangements of pseudocircles on surfaces.
CoRR, 2017

Drawings of K<sub>n</sub> with the same rotation scheme are the same up to Reidemeister moves (Gioan's Theorem).
Australas. J Comb., 2017

2016
Large Area Convex Holes in Random Point Sets.
SIAM J. Discret. Math., 2016

Preface: LAGOS'13: Seventh Latin-American Algorithms, Graphs, and Optimization Symposium, Playa del Carmen, México - 2013.
Discret. Appl. Math., 2016

Characterizing 2-crossing-critical graphs.
Adv. Appl. Math., 2016

2015
Book Embeddings of Regular Graphs.
SIAM J. Discret. Math., 2015

Embedding a Graph-Like Continuum in Some Surface.
J. Graph Theory, 2015

On the Decay of Crossing Numbers of Sparse Graphs.
J. Graph Theory, 2015

On Hardness of the Joint Crossing Number.
Proceedings of the Algorithms and Computation - 26th International Symposium, 2015

2014
Shellable Drawings and the Cylindrical Crossing Number of K<sub>n</sub>.
Discret. Comput. Geom., 2014

Book drawings of complete bipartite graphs.
Discret. Appl. Math., 2014

The Optimal Drawings of $K_{5, n}$.
Electron. J. Comb., 2014

2013
Improved Lower Bounds on Book Crossing Numbers of Complete Graphs.
SIAM J. Discret. Math., 2013

Zarankiewicz's Conjecture is finite for each fixed m.
J. Comb. Theory, Ser. B, 2013

Preface.
Electron. Notes Discret. Math., 2013

More on the crossing number of K<sub>n</sub>: Monotone drawings.
Electron. Notes Discret. Math., 2013

The Erdős-Sós Conjecture for Geometric Graphs.
Discret. Math. Theor. Comput. Sci., 2013

The 2-Page Crossing Number of K<sub>n</sub>.
Discret. Comput. Geom., 2013

Shellable drawings and the cylindrical crossing number of $K_n$.
CoRR, 2013

Large convex holes in random point sets.
Comput. Geom., 2013

Making a Graph Crossing-Critical by Multiplying its Edges.
Electron. J. Comb., 2013

2012
Nested cycles in large triangulations and crossing-critical graphs.
J. Comb. Theory, Ser. B, 2012

Visibility-preserving convexifications using single-vertex moves.
Inf. Process. Lett., 2012

On ≤k-Edges, Crossings, and Halving Lines of Geometric Drawings of K n.
Discret. Comput. Geom., 2012

2011
Asymptotically settling Zarankiewicz's Conjecture in finite time, for each m.
Electron. Notes Discret. Math., 2011

There is a unique crossing-minimal rectilinear drawing of K<sub>18</sub>.
Electron. Notes Discret. Math., 2011

On $(\le k)$-edges, crossings, and halving lines of geometric drawings of K<sub>n</sub>
CoRR, 2011

Convexifying Monotone Polygons while Maintaining Internal Visibility.
Proceedings of the Computational Geometry - XIV Spanish Meeting on Computational Geometry, 2011

2010
The Number of Generalized Balanced Lines.
Discret. Comput. Geom., 2010

3-symmetric and 3-decomposable geometric drawings of K<sub>n</sub>.
Discret. Appl. Math., 2010

2008
An extended lower bound on the number of (k)-edges to generalized configurations of points and the pseudolinear crossing number of K<sub>n</sub>.
J. Comb. Theory, Ser. A, 2008

A note on harmonic subgraphs in labelled geometric graphs.
Inf. Process. Lett., 2008

Stars and Bonds in Crossing-Critical Graphs.
Electron. Notes Discret. Math., 2008

A central approach to bound the number of crossings in a generalized configuration.
Electron. Notes Discret. Math., 2008

The maximum number of halving lines and the rectilinear crossing number of K<sub>n</sub> for n.
Electron. Notes Discret. Math., 2008

2007
Large harmonic sets of noncrossing edges for n randomly labeled vertices in convex position.
Random Struct. Algorithms, 2007

The crossing number of a projective graph is quadratic in the face-width.
Electron. Notes Discret. Math., 2007

Simple Euclidean Arrangements with No (>= 5)-Gons.
Discret. Comput. Geom., 2007

The convex hull of every optimal pseudolinear drawing of K<sub>n</sub> is a triangle.
Australas. J Comb., 2007

Approximating the Crossing Number of Toroidal Graphs.
Proceedings of the Algorithms and Computation, 18th International Symposium, 2007

2006
Improved Bounds for the Crossing Numbers of <i>K<sub>m, n</sub></i> and <i>K<sub>n</sub></i>.
SIAM J. Discret. Math., 2006

Nearly light cycles in embedded graphs and crossing-critical graphs.
J. Graph Theory, 2006

On the length of longest alternating paths for multicoloured point sets in convex position.
Discret. Math., 2006

k-Sets, Convex Quadrilaterals, and the Rectilinear Crossing Number of K<sub>n</sub>.
Discret. Comput. Geom., 2006

On the Crossing Number of Almost Planar Graphs.
Proceedings of the Graph Drawing, 14th International Symposium, 2006

2005
Two maps with large representativity on one surface.
J. Graph Theory, 2005

On the Intersection Number of Matchings and Minimum Weight Perfect Matchings of Multicolored Point Sets.
Graphs Comb., 2005

On the crossing numbers of loop networks and generalized Petersen graphs.
Discret. Math., 2005

2004
The crossing number of <i>C<sub>m</sub></i> × <i>C<sub>n</sub></i> is as conjectured for <i>n</i> >= <i>m</i>(<i>m</i> + 1).
J. Graph Theory, 2004

An Improved Bound for the Crossing Number of C <sub><i>m</i></sub>C <sub><i>n</i></sub>: a Self-Contained Proof Using Mostly Combinatorial Arguments.
Graphs Comb., 2004

Embedding grids in surfaces.
Eur. J. Comb., 2004

Morelia Test: Improving the Efficiency of the Gabriel Test and Face Routing in Ad-Hoc Networks.
Proceedings of the Structural Information and Communication Complexity, 2004

Improved Bounds for the Number of (<=k)-Sets, Convex Quadrilaterals, and the Rectilinear Crossing Number of K<sub>n</sub>.
Proceedings of the Graph Drawing, 12th International Symposium, 2004

2003
Optimal meshes of curves in the Klein bottle.
J. Comb. Theory, Ser. B, 2003

Small meshes of curves and their role in the analysis of optimal meshes.
Discret. Math., 2003

Infinite families of crossing-critical graphs with given average degree.
Discret. Math., 2003

Spanning Trees of Multicoloured Point Sets with Few Intersections.
Proceedings of the Combinatorial Geometry and Graph Theory, 2003

2002
The Crossing Number of P(N, 3).
Graphs Comb., 2002

2001
Bounding the crossing number of a graph in terms of the crossing number of a minor with small maximum degree.
J. Graph Theory, 2001

Drawings of C<sub>m</sub>?C<sub>n</sub> with One Disjoint Family II.
J. Comb. Theory, Ser. B, 2001

The crossing number of C<sub>6</sub> × C<sub>n</sub>.
Australas. J Comb., 2001

2000
A lower bound for the crossing number of <i>C<sub>m</sub> × C<sub>n</sub></i>.
J. Graph Theory, 2000

On a Crossing Number Result of Richter and Thomassen.
J. Comb. Theory, Ser. B, 2000

1999
On the Intersections of Systems of Curves.
J. Comb. Theory, Ser. B, 1999

Drawings of C<sub>m</sub>×C<sub>n</sub> with One Disjoint Family.
J. Comb. Theory, Ser. B, 1999

1998
On the crossing number of <i>c<sub>m</sub></i> × <i>c<sub>n</sub></i>.
J. Graph Theory, 1998


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