Xavier Goaoc

529 total citations
32 papers, 191 citations indexed

About

Xavier Goaoc is a scholar working on Computer Graphics and Computer-Aided Design, Applied Mathematics and Geometry and Topology. According to data from OpenAlex, Xavier Goaoc has authored 32 papers receiving a total of 191 indexed citations (citations by other indexed papers that have themselves been cited), including 27 papers in Computer Graphics and Computer-Aided Design, 16 papers in Applied Mathematics and 9 papers in Geometry and Topology. Recurrent topics in Xavier Goaoc's work include Computational Geometry and Mesh Generation (26 papers), Point processes and geometric inequalities (16 papers) and Mathematics and Applications (8 papers). Xavier Goaoc is often cited by papers focused on Computational Geometry and Mesh Generation (26 papers), Point processes and geometric inequalities (16 papers) and Mathematics and Applications (8 papers). Xavier Goaoc collaborates with scholars based in France, South Korea and Austria. Xavier Goaoc's co-authors include Sylvain Lazard, Otfried Cheong, Sylvain Petitjean, Hyeon-Suk Na, Frédéric Meunier, Nabil H. Mustafa, Jesús A. De Loera, Ciprian S. Borcea, Olivier Devillers and Marc Glisse and has published in prestigious journals such as Journal of the ACM, SIAM Journal on Computing and Israel Journal of Mathematics.

In The Last Decade

Xavier Goaoc

26 papers receiving 166 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Xavier Goaoc France	8	102	75	49	45	44	32	191
Rom Pinchasi Israel	9	197 1.9×	80 1.1×	155 3.2×	46 1.0×	51 1.2×	64	274
F. Hurtado Spain	10	228 2.2×	73 1.0×	140 2.9×	25 0.6×	14 0.3×	29	322
Leonidas Palios Greece	8	146 1.4×	71 0.9×	84 1.7×	17 0.4×	6 0.1×	27	252
J Matousek Czechia	5	114 1.1×	51 0.7×	105 2.1×	9 0.2×	11 0.3×	6	198
Hannes Krasser Austria	11	273 2.7×	105 1.4×	167 3.4×	9 0.2×	27 0.6×	28	313
Joseph Zaks Israel	11	131 1.3×	46 0.6×	194 4.0×	110 2.4×	49 1.1×	56	371
Kim Whittlesey United States	6	143 1.4×	52 0.7×	137 2.8×	65 1.4×	7 0.2×	7	275
Torsten Ueckerdt Germany	8	70 0.7×	45 0.6×	129 2.6×	16 0.4×	3 0.1×	32	237
Chan-Su Shin South Korea	8	124 1.2×	64 0.9×	31 0.6×	6 0.1×	9 0.2×	37	196
J. Matoušek Czechia	5	139 1.4×	55 0.7×	87 1.8×	8 0.2×	6 0.1×	13	249

Countries citing papers authored by Xavier Goaoc

Since Specialization

Citations

This map shows the geographic impact of Xavier Goaoc's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Xavier Goaoc with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Xavier Goaoc more than expected).

Fields of papers citing papers by Xavier Goaoc

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Xavier Goaoc. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Xavier Goaoc. The network helps show where Xavier Goaoc may publish in the future.

Co-authorship network of co-authors of Xavier Goaoc

This figure shows the co-authorship network connecting the top 25 collaborators of Xavier Goaoc. A scholar is included among the top collaborators of Xavier Goaoc based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Xavier Goaoc. Xavier Goaoc is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Bárány, Imre, et al.. (2020). Random polytopes and the wet part for arbitrary probability distributions. arXiv (Cornell University). 3. 701–715. 2 indexed citations

Loera, Jesús A. De, Xavier Goaoc, Frédéric Meunier, & Nabil H. Mustafa. (2017). The discrete yet ubiquitous theorems of Carath\\'eodory, Helly, Sperner,\n Tucker, and Tverberg. arXiv (Cornell University). 30 indexed citations

Cheong, Otfried, et al.. (2015). Geometric permutations of non-overlapping unit balls revisited. Computational Geometry. 53. 36–50.

Goaoc, Xavier, et al.. (2014). Simplifying Inclusion–Exclusion Formulas. Combinatorics Probability Computing. 24(2). 438–456. 1 indexed citations

Devillers, Olivier, et al.. (2013). The monotonicity of $f$-vectors of random polytopes. Electronic Communications in Probability. 18(none). 5 indexed citations

Goaoc, Xavier, et al.. (2013). Bounded-Curvature Shortest Paths through a Sequence of Points Using Convex Optimization. SIAM Journal on Computing. 42(2). 662–684. 35 indexed citations

Verdière, Éric Colin de, et al.. (2011). Helly numbers of acyclic families. arXiv (Cornell University). 7 indexed citations

Cheong, Otfried, et al.. (2011). Lower bounds to helly numbers of line transversals to disjoint congruent balls. Israel Journal of Mathematics. 190(1). 213–228. 2 indexed citations

Aronov, Boris, Otfried Cheong, Xavier Goaoc, & Günter Rote. (2010). Lines Pinning Lines. Discrete & Computational Geometry. 45(2). 230–260. 1 indexed citations

10.

Goaoc, Xavier, et al.. (2010). Admissible linear map models of linear cameras. HAL (Le Centre pour la Communication Scientifique Directe). 1578–1585. 3 indexed citations

11.

Demouth, Julien & Xavier Goaoc. (2009). Computing Direct Shadows Cast by Convex Polyhedra. HAL (Le Centre pour la Communication Scientifique Directe).

12.

Devillers, Olivier, Jeff Erickson, & Xavier Goaoc. (2008). Empty-ellipse graphs. HAL (Le Centre pour la Communication Scientifique Directe). 1249–1257. 2 indexed citations

13.

Demouth, Julien, Olivier Devillers, Marc Glisse, & Xavier Goaoc. (2008). Helly-type theorems for approximate covering. 120–128. 2 indexed citations

14.

Borcea, Ciprian S., Xavier Goaoc, & Sylvain Petitjean. (2007). Line Transversals to Disjoint Balls. Discrete & Computational Geometry. 39(1-3). 158–173. 7 indexed citations

15.

Brönnimann, Hervé, Olivier Devillers, Vida Dujmović, et al.. (2007). Lines and Free Line Segments Tangent to Arbitrary Three-Dimensional Convex Polyhedra. SIAM Journal on Computing. 37(2). 522–551. 8 indexed citations

16.

Brönnimann, Hervé, Olivier Devillers, Vida Dujmović, et al.. (2005). On the Number of Maximal Free Line Segments Tangent to Arbitrary Three-dimensional Convex Polyhedra. HAL (Le Centre pour la Communication Scientifique Directe).

17.

Cheong, Otfried, et al.. (2005). Hadwiger and Helly-type theorems for disjoint unit spheres in R ³. TU/e Research Portal. 6. 10–15. 5 indexed citations

18.

Brönnimann, Hervé, Olivier Devillers, Vida Dujmović, et al.. (2004). The number of lines tangent to arbitrary convex polyhedra in 3D. HAL (Le Centre pour la Communication Scientifique Directe). 46–55. 1 indexed citations

19.

Devillers, Olivier, Vida Dujmović, Hazel Everett, et al.. (2003). The Expected Number of 3D Visibility Events Is Linear. SIAM Journal on Computing. 32(6). 1586–1620. 10 indexed citations

20.

Brönnimann, Hervé, Olivier Devillers, Vida Dujmović, et al.. (2002). On the Number of Lines Tangent to Four Convex Polyhedra. HAL (Le Centre pour la Communication Scientifique Directe). 113–117. 5 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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