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ORCIDXavier Goaoc
Person information
- affiliation: Université de Lorraine, Nancy, France
- affiliation (former): University of Marne-la-Vallée, France
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2020 – today
- 2024
[j25]Xavier Goaoc, Michael Kerber:
Guest Editors' Foreword. Discret. Comput. Geom. 71(1): 1-3 (2024)- [j24]Otfried Cheong, Xavier Goaoc, Andreas F. Holmsen
:
Some New Results on Geometric Transversals. Discret. Comput. Geom. 72(2): 674-703 (2024) - [c24]Mathilde Bouvel, Valentin Féray, Xavier Goaoc, Florent Koechlin:
A Canonical Tree Decomposition for Chirotopes. SoCG 2024: 23:1-23:18 - [i16]Mathilde Bouvel, Valentin Féray, Xavier Goaoc, Florent Koechlin:
A canonical tree decomposition for order types, and some applications. CoRR abs/2403.10311 (2024) - 2023
- [j23]Xavier Goaoc, Emo Welzl:
Convex Hulls of Random Order Types. J. ACM 70(1): 8:1-8:47 (2023) - 2022
- [e1]Xavier Goaoc, Michael Kerber:
38th International Symposium on Computational Geometry, SoCG 2022, June 7-10, 2022, Berlin, Germany. LIPIcs 224, Schloss Dagstuhl - Leibniz-Zentrum für Informatik 2022, ISBN 978-3-95977-227-3 [contents] - 2021
- [c23]Xavier Goaoc, Andreas F. Holmsen, Zuzana Patáková:
A Stepping-Up Lemma for Topological Set Systems. SoCG 2021: 40:1-40:17 - [i15]Xavier Goaoc, Andreas F. Holmsen, Zuzana Patáková:
A Stepping-Up Lemma for Topological Set Systems. CoRR abs/2103.09286 (2021) - 2020
- [j22]Xavier Goaoc, Andreas F. Holmsen, Cyril Nicaud:
An experimental study of forbidden patterns in geometric permutations by combinatorial lifting. J. Comput. Geom. 11(2): 131-161 (2020) - [c22]Xavier Goaoc, Emo Welzl:
Convex Hulls of Random Order Types. SoCG 2020: 49:1-49:15 - [i14]Xavier Goaoc, Emo Welzl:
Convex Hulls of Random Order Types. CoRR abs/2003.08456 (2020)
2010 – 2019
- 2019
- [j21]Xavier Goaoc, Pavel Paták, Zuzana Patáková, Martin Tancer, Uli Wagner:
Shellability is NP-complete. J. ACM 66(3): 21:1-21:18 (2019) - [j20]Boris Bukh, Xavier Goaoc:
Shatter Functions with Polynomial Growth Rates. SIAM J. Discret. Math. 33(2): 784-794 (2019) - [c21]Xavier Goaoc, Andreas F. Holmsen, Cyril Nicaud:
An Experimental Study of Forbidden Patterns in Geometric Permutations by Combinatorial Lifting. SoCG 2019: 40:1-40:16 - [i13]Xavier Goaoc, Andreas F. Holmsen, Cyril Nicaud:
An Experimental Study of Forbidden Patterns in Geometric Permutations by Combinatorial Lifting. CoRR abs/1903.03014 (2019) - 2018
- [c20]Boris Bukh, Xavier Goaoc, Alfredo Hubard, Matthew Trager:
Consistent Sets of Lines with no Colorful Incidence. SoCG 2018: 17:1-17:14 - [c19]Xavier Goaoc, Pavel Paták, Zuzana Patáková, Martin Tancer, Uli Wagner:
Shellability is NP-Complete. SoCG 2018: 41:1-41:15 - [i12]Boris Bukh, Xavier Goaoc, Alfredo Hubard, Matthew Trager:
Consistent sets of lines with no colorful incidence. CoRR abs/1803.06267 (2018) - [i11]Olivier Devillers, Philippe Duchon, Marc Glisse, Xavier Goaoc:
On Order Types of Random Point Sets. CoRR abs/1812.08525 (2018) - 2017
- [j19]Boris Aronov, Otfried Cheong, Michael Gene Dobbins, Xavier Goaoc:
The Number of Holes in the Union of Translates of a Convex Set in Three Dimensions. Discret. Comput. Geom. 57(1): 104-124 (2017) - [i10]Boris Bukh, Xavier Goaoc:
Shatter functions with polynomial growth rates. CoRR abs/1701.06632 (2017) - [i9]Jesús A. De Loera, Xavier Goaoc, Frédéric Meunier, Nabil H. Mustafa:
The discrete yet ubiquitous theorems of Carathéodory, Helly, Sperner, Tucker, and Tverberg. CoRR abs/1706.05975 (2017) - [i8]Xavier Goaoc, Pavel Paták, Zuzana Patáková, Martin Tancer, Uli Wagner:
Shellability is NP-complete. CoRR abs/1711.08436 (2017) - 2016
- [j18]Jae-Soon Ha, Otfried Cheong, Xavier Goaoc, Jungwoo Yang:
Geometric permutations of non-overlapping unit balls revisited. Comput. Geom. 53: 36-50 (2016) - [j17]Olivier Devillers, Marc Glisse, Xavier Goaoc, Rémy Thomasse:
Smoothed complexity of convex hulls by witnesses and collectors. J. Comput. Geom. 7(2): 101-144 (2016) - [c18]Boris Aronov, Otfried Cheong, Michael Gene Dobbins, Xavier Goaoc:
The Number of Holes in the Union of Translates of a Convex Set in Three Dimensions. SoCG 2016: 10:1-10:16 - 2015
- [j16]Xavier Goaoc, Jirí Matousek, Pavel Paták, Zuzana Safernová, Martin Tancer:
Simplifying Inclusion-Exclusion Formulas. Comb. Probab. Comput. 24(2): 438-456 (2015) - [c17]Olivier Devillers, Marc Glisse, Xavier Goaoc, Rémy Thomasse:
On the Smoothed Complexity of Convex Hulls. SoCG 2015: 224-238 - [c16]Xavier Goaoc, Alfredo Hubard, Rémi de Joannis de Verclos, Jean-Sébastien Sereni, Jan Volec:
Limits of Order Types. SoCG 2015: 300-314 - [c15]Xavier Goaoc, Isaac Mabillard, Pavel Paták, Zuzana Patáková, Martin Tancer, Uli Wagner:
On Generalized Heawood Inequalities for Manifolds: A Van Kampen-Flores-type Nonembeddability Result. SoCG 2015: 476-490 - [c14]Xavier Goaoc, Pavel Paták, Zuzana Patáková, Martin Tancer, Uli Wagner:
Bounding Helly Numbers via Betti Numbers. SoCG 2015: 507-521 - [i7]Boris Aronov, Otfried Cheong, Michael Gene Dobbins, Xavier Goaoc:
The Number of Holes in the Union of Translates of a Convex Set in Three Dimensions. CoRR abs/1502.01779 (2015) - 2013
- [j15]Otfried Cheong, Xavier Goaoc, Cyril Nicaud:
Set systems and families of permutations with small traces. Eur. J. Comb. 34(2): 229-239 (2013) - [j14]Xavier Goaoc, Hyo-Sil Kim, Sylvain Lazard:
Bounded-Curvature Shortest Paths through a Sequence of Points Using Convex Optimization. SIAM J. Comput. 42(2): 662-684 (2013) - [c13]Olivier Devillers, Marc Glisse, Xavier Goaoc:
Complexity analysis of random geometric structures made simpler. SoCG 2013: 167-176 - [i6]Xavier Goaoc, Pavel Paták, Zuzana Safernová, Martin Tancer, Uli Wagner:
Bounding Helly numbers via Betti numbers. CoRR abs/1310.4613 (2013) - 2012
- [c12]Éric Colin de Verdière, Grégory Ginot, Xavier Goaoc:
Multinerves and helly numbers of acyclic families. SCG 2012: 209-218 - [i5]Olivier Devillers, Marc Glisse, Xavier Goaoc, Guillaume Moroz, Matthias Reitzner:
The monotonicity of f-vectors of random polytopes. CoRR abs/1211.7020 (2012) - 2011
- [b1]Xavier Goaoc:
Transversal Helly numbers, pinning theorems and projection of simplicial complexes. (Nombres de Helly, théorèmes d'épinglement et projection de complexes simpliciaux). Henri Poincaré University, Nancy, France, 2011 - [j13]Boris Aronov, Otfried Cheong, Xavier Goaoc, Günter Rote:
Lines Pinning Lines. Discret. Comput. Geom. 45(2): 230-260 (2011) - [j12]Xavier Goaoc, Stefan König, Sylvain Petitjean:
Pinning a Line by Balls or Ovaloids in ℝ3. Discret. Comput. Geom. 45(2): 303-320 (2011) - [j11]Guillaume Batog, Xavier Goaoc:
Inflating Balls is NP-Hard. Int. J. Comput. Geom. Appl. 21(4): 403-415 (2011) - [i4]Éric Colin de Verdière, Grégory Ginot, Xavier Goaoc:
Helly numbers of acyclic families. CoRR abs/1101.6006 (2011) - 2010
- [c11]Guillaume Batog, Xavier Goaoc, Jean Ponce:
Admissible linear map models of linear cameras. CVPR 2010: 1578-1585
2000 – 2009
- 2009
- [j10]Julien Demouth, Olivier Devillers, Marc Glisse, Xavier Goaoc:
Helly-Type Theorems for Approximate Covering. Discret. Comput. Geom. 42(3): 379-398 (2009) - [j9]Xavier Goaoc, Jan Kratochvíl, Yoshio Okamoto, Chan-Su Shin, Andreas Spillner, Alexander Wolff:
Untangling a Planar Graph. Discret. Comput. Geom. 42(4): 542-569 (2009) - [j8]Otfried Cheong, Xavier Goaoc, Andreas F. Holmsen:
Lower Bounds for Pinning Lines by Balls (Extended Abstract). Electron. Notes Discret. Math. 34: 567-571 (2009) - [i3]Otfried Cheong, Xavier Goaoc, Andreas F. Holmsen:
Lower Bounds for Pinning Lines by Balls. CoRR abs/0906.2924 (2009) - [i2]Otfried Cheong, Xavier Goaoc, Cyril Nicaud:
Set Systems and Families of Permutations with Small Traces. CoRR abs/0912.2979 (2009) - 2008
- [j7]Ciprian Borcea, Xavier Goaoc, Sylvain Petitjean:
Line Transversals to Disjoint Balls. Discret. Comput. Geom. 39(1-3): 158-173 (2008) - [j6]Otfried Cheong, Xavier Goaoc, Andreas F. Holmsen, Sylvain Petitjean:
Helly-Type Theorems for Line Transversals to Disjoint Unit Balls. Discret. Comput. Geom. 39(1-3): 194-212 (2008) - [c10]Julien Demouth, Olivier Devillers, Marc Glisse, Xavier Goaoc:
Helly-type theorems for approximate covering. SCG 2008: 120-128 - [c9]Olivier Devillers, Jeff Erickson, Xavier Goaoc:
Empty-ellipse graphs. SODA 2008: 1249-1257 - 2007
- [j5]Hervé Brönnimann, Olivier Devillers, Vida Dujmovic, Hazel Everett, Marc Glisse, Xavier Goaoc, Sylvain Lazard, Hyeon-Suk Na, Sue Whitesides:
Lines and Free Line Segments Tangent to Arbitrary Three-Dimensional Convex Polyhedra. SIAM J. Comput. 37(2): 522-551 (2007) - [c8]Ciprian Borcea, Xavier Goaoc, Sylvain Petitjean:
Line transversals to disjoint balls. SCG 2007: 245-254 - [c7]Xavier Goaoc, Jan Kratochvíl, Yoshio Okamoto, Chan-Su Shin, Alexander Wolff:
Moving Vertices to Make Drawings Plane. GD 2007: 101-112 - [i1]Otfried Cheong, Xavier Goaoc, Andreas F. Holmsen, Sylvain Petitjean:
Hadwiger and Helly-type theorems for disjoint unit spheres. CoRR abs/cs/0702039 (2007) - 2006
- [j4]Ciprian Borcea, Xavier Goaoc, Sylvain Lazard, Sylvain Petitjean:
Common Tangents to Spheres in R3. Discret. Comput. Geom. 35(2): 287-300 (2006) - [j3]Véronique Cortier, Xavier Goaoc, Mira Lee, Hyeon-Suk Na:
A note on maximally repeated sub-patterns of a point set. Discret. Math. 306(16): 1965-1968 (2006) - 2005
- [j2]Otfried Cheong, Xavier Goaoc, Hyeon-Suk Na:
Geometric permutations of disjoint unit spheres. Comput. Geom. 30(3): 253-270 (2005) - [c6]Otfried Cheong, Xavier Goaoc, Andreas F. Holmsen:
Hadwiger and Helly-type theorems for disjoint unit spheres in R3. SCG 2005: 10-15 - [c5]Mark de Berg, Xavier Goaoc, A. Frank van der Stappen:
A Polynomial-time Algorithm to Design Push Plans for Sensorless Parts Sorting. Robotics: Science and Systems 2005: 89-96 - 2004
- [c4]Hervé Brönnimann, Olivier Devillers, Vida Dujmovic, Hazel Everett, Marc Glisse, Xavier Goaoc, Sylvain Lazard, Hyeon-Suk Na, Sue Whitesides:
The number of lines tangent to arbitrary convex polyhedra in 3D. SCG 2004: 46-55 - 2003
- [j1]Olivier Devillers, Vida Dujmovic, Hazel Everett, Xavier Goaoc, Sylvain Lazard, Hyeon-Suk Na, Sylvain Petitjean:
The Expected Number of 3D Visibility Events Is Linear. SIAM J. Comput. 32(6): 1586-1620 (2003) - [c3]Helmut Alt, Marc Glisse, Xavier Goaoc:
On the worst-case complexity of the silhouette of a polytope. CCCG 2003: 51-55 - [c2]Otfried Cheong, Xavier Goaoc, Hyeon-Suk Na:
Disjoint Unit Spheres admit at Most Two Line Transversals. ESA 2003: 127-135 - 2002
- [c1]Hervé Brönnimann, Olivier Devillers, Vida Dujmovic, Hazel Everett, Marc Glisse, Xavier Goaoc, Sylvain Lazard, Hyeon-Suk Na, Sue Whitesides:
On the number of lines tangent to four convex polyhedra. CCCG 2002: 113-117
Coauthor Index
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