On the number of lines tangent to four convex polyhedra. - Hervé Brönnimann; Olivier Devillers; Vida Dujmovic; Hazel Everett; Marc Glisse; Xavier Goaoc; Sylvain Lazard; Hyeon-Suk Na; Sue Whitesides (CCCG, 2002)

On the worst-case complexity of the silhouette of a polytope. - Helmut Alt; Marc Glisse; Xavier Goaoc (CCCG, 2003)

Disjoint Unit Spheres admit at Most Two Line Transversals. - Otfried Cheong; Xavier Goaoc; Hyeon-Suk Na (ESA, 2003)

The Expected Number of 3D Visibility Events Is Linear. - Olivier Devillers; Vida Dujmovic; Hazel Everett; Xavier Goaoc; Sylvain Lazard; Hyeon-Suk Na; Sylvain Petitjean (SIAM J. Comput., 2003)

The number of lines tangent to arbitrary convex polyhedra in 3D. - Hervé Brönnimann; Olivier Devillers; Vida Dujmovic; Hazel Everett; Marc Glisse; Xavier Goaoc; Sylvain Lazard; Hyeon-Suk Na; Sue Whitesides (SCG, 2004)

Hadwiger and Helly-type theorems for disjoint unit spheres in R3. - Otfried Cheong; Xavier Goaoc; Andreas F. Holmsen (SCG, 2005)

A Polynomial-time Algorithm to Design Push Plans for Sensorless Parts Sorting. - Mark de Berg; Xavier Goaoc; A. Frank van der Stappen (Robotics: Science and Systems, 2005)

Geometric permutations of disjoint unit spheres. - Otfried Cheong; Xavier Goaoc; Hyeon-Suk Na (Comput. Geom., 2005)

Common Tangents to Spheres in R3. - Ciprian Borcea; Xavier Goaoc; Sylvain Lazard; Sylvain Petitjean (Discret. Comput. Geom., 2006)

A note on maximally repeated sub-patterns of a point set. - Véronique Cortier; Xavier Goaoc; Mira Lee; Hyeon-Suk Na (Discret. Math., 2006)

Moving Vertices to Make Drawings Plane. - Xavier Goaoc; Jan Kratochvíl; Yoshio Okamoto; Chan-Su Shin; Alexander Wolff 001 (GD, 2007)

Hadwiger and Helly-type theorems for disjoint unit spheres - Otfried Cheong; Xavier Goaoc; Andreas F. Holmsen; Sylvain Petitjean (CoRR, 2007)

Lines and Free Line Segments Tangent to Arbitrary Three-Dimensional Convex Polyhedra. - Hervé Brönnimann; Olivier Devillers; Vida Dujmovic; Hazel Everett; Marc Glisse; Xavier Goaoc; Sylvain Lazard; Hyeon-Suk Na; Sue Whitesides (SIAM J. Comput., 2007)

Empty-ellipse graphs. - Olivier Devillers; Jeff Erickson 001; Xavier Goaoc (SODA, 2008)

Line Transversals to Disjoint Balls. - Ciprian Borcea; Xavier Goaoc; Sylvain Petitjean (Discret. Comput. Geom., 2008)

Helly-Type Theorems for Line Transversals to Disjoint Unit Balls. - Otfried Cheong; Xavier Goaoc; Andreas F. Holmsen; Sylvain Petitjean (Discret. Comput. Geom., 2008)

Lower Bounds for Pinning Lines by Balls - Otfried Cheong; Xavier Goaoc; Andreas F. Holmsen (CoRR, 2009)

Helly-Type Theorems for Approximate Covering. - Julien Demouth; Olivier Devillers; Marc Glisse; Xavier Goaoc (Discret. Comput. Geom., 2009)

Untangling a Planar Graph. - Xavier Goaoc; Jan Kratochvíl; Yoshio Okamoto; Chan-Su Shin; Andreas Spillner 001; Alexander Wolff 001 (Discret. Comput. Geom., 2009)

Lower Bounds for Pinning Lines by Balls (Extended Abstract). - Otfried Cheong; Xavier Goaoc; Andreas F. Holmsen (Electron. Notes Discret. Math., 2009)

Admissible linear map models of linear cameras. - Guillaume Batog; Xavier Goaoc; Jean Ponce (CVPR, 2010)

Transversal Helly numbers, pinning theorems and projection of simplicial complexes. (Nombres de Helly, théorèmes d'épinglement et projection de complexes simpliciaux). - Xavier Goaoc (2011)

Helly numbers of acyclic families - Éric Colin de Verdière; Grégory Ginot; Xavier Goaoc (CoRR, 2011)

Lines Pinning Lines. - Boris Aronov; Otfried Cheong; Xavier Goaoc; Günter Rote (Discret. Comput. Geom., 2011)

Pinning a Line by Balls or Ovaloids in ℝ3. - Xavier Goaoc; Stefan König 003; Sylvain Petitjean (Discret. Comput. Geom., 2011)

Inflating Balls is NP-Hard. - Guillaume Batog; Xavier Goaoc (Int. J. Comput. Geom. Appl., 2011)

Multinerves and helly numbers of acyclic families. - Éric Colin de Verdière; Grégory Ginot; Xavier Goaoc (SCG, 2012)

The monotonicity of f-vectors of random polytopes - Olivier Devillers; Marc Glisse; Xavier Goaoc; Guillaume Moroz; Matthias Reitzner (CoRR, 2012)

Complexity analysis of random geometric structures made simpler. - Olivier Devillers; Marc Glisse; Xavier Goaoc (SoCG, 2013)

Set systems and families of permutations with small traces. - Otfried Cheong; Xavier Goaoc; Cyril Nicaud (Eur. J. Comb., 2013)

Bounded-Curvature Shortest Paths through a Sequence of Points Using Convex Optimization. - Xavier Goaoc; Hyo-Sil Kim; Sylvain Lazard (SIAM J. Comput., 2013)

On the Smoothed Complexity of Convex Hulls. - Olivier Devillers; Marc Glisse; Xavier Goaoc; Rémy Thomasse (SoCG, 2015)

Limits of Order Types. - Xavier Goaoc; Alfredo Hubard; Rémi de Joannis de Verclos; Jean-Sébastien Sereni; Jan Volec (SoCG, 2015)

On Generalized Heawood Inequalities for Manifolds: A Van Kampen-Flores-type Nonembeddability Result. - Xavier Goaoc; Isaac Mabillard; Pavel Paták; Zuzana Patáková; Martin Tancer; Uli Wagner 001 (SoCG, 2015)

Bounding Helly Numbers via Betti Numbers. - Xavier Goaoc; Pavel Paták; Zuzana Patáková; Martin Tancer; Uli Wagner 001 (SoCG, 2015)

Simplifying Inclusion-Exclusion Formulas. - Xavier Goaoc; Jirí Matousek 001; Pavel Paták; Zuzana Safernová; Martin Tancer (Comb. Probab. Comput., 2015)

Geometric permutations of non-overlapping unit balls revisited. - Jae-Soon Ha; Otfried Cheong; Xavier Goaoc; Jungwoo Yang (Comput. Geom., 2016)

Smoothed complexity of convex hulls by witnesses and collectors. - Olivier Devillers; Marc Glisse; Xavier Goaoc; Rémy Thomasse (J. Comput. Geom., 2016)

The discrete yet ubiquitous theorems of Carathéodory, Helly, Sperner, Tucker, and Tverberg. - Jesús A. De Loera; Xavier Goaoc; Frédéric Meunier; Nabil H. Mustafa (CoRR, 2017)

The Number of Holes in the Union of Translates of a Convex Set in Three Dimensions. - Boris Aronov; Otfried Cheong; Michael Gene Dobbins; Xavier Goaoc (Discret. Comput. Geom., 2017)

Consistent Sets of Lines with no Colorful Incidence. - Boris Bukh; Xavier Goaoc; Alfredo Hubard; Matthew Trager (SoCG, 2018)

On Order Types of Random Point Sets. - Olivier Devillers; Philippe Duchon; Marc Glisse; Xavier Goaoc (CoRR, 2018)

Shellability is NP-complete. - Xavier Goaoc; Pavel Paták; Zuzana Patáková; Martin Tancer; Uli Wagner 001 (J. ACM, 2019)

Shatter Functions with Polynomial Growth Rates. - Boris Bukh; Xavier Goaoc (SIAM J. Discret. Math., 2019)

An experimental study of forbidden patterns in geometric permutations by combinatorial lifting. - Xavier Goaoc; Andreas F. Holmsen; Cyril Nicaud (J. Comput. Geom., 2020)

A Stepping-Up Lemma for Topological Set Systems. - Xavier Goaoc; Andreas F. Holmsen; Zuzana Patáková (SoCG, 2021)

Convex Hulls of Random Order Types. - Xavier Goaoc; Emo Welzl (J. ACM, 2023)

A Canonical Tree Decomposition for Chirotopes. - Mathilde Bouvel; Valentin Féray; Xavier Goaoc; Florent Koechlin (SoCG, 2024)

A canonical tree decomposition for order types, and some applications. - Mathilde Bouvel; Valentin Féray; Xavier Goaoc; Florent Koechlin (CoRR, 2024)

Guest Editors' Foreword. - Xavier Goaoc; Michael Kerber (Discret. Comput. Geom., 2024)

Some New Results on Geometric Transversals. - Otfried Cheong; Xavier Goaoc; Andreas F. Holmsen (Discret. Comput. Geom., 2024)

Hitting and Covering Affine Families of Convex Polyhedra, with Applications to Robust Optimization. - Jean Cardinal; Xavier Goaoc; Sarah Wajsbrot (MFCS, 2025)

An asymptotic rigidity property from the realizability of chirotope extensions. - Xavier Goaoc; Arnau Padrol (CoRR, 2025)