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Link crossing number is NP-hard

Arnaud de Mesmay , Marcus Schaefer , Eric Sedgwick
Journal of Knot Theory and Its Ramifications, 2020, 29 (06), pp.2050043. ⟨10.1142/S0218216520500431⟩
Article dans une revue hal-03052885v1

Algorithms for Contractibility of Compressed Curves on 3-Manifold Boundaries

Erin Wolf Chambers , Francis Lazarus , Arnaud de Mesmay , Salman Parsa
Discrete and Computational Geometry, 2022, ⟨10.1007/s00454-022-00411-x⟩
Article dans une revue hal-03835041v1

Constructing monotone homotopies and sweepouts

Erin Wolf Chambers , Gregory Chambers , Arnaud de Mesmay , Tim Ophelders , Regina Rotman
Journal of Differential Geometry, 2021, 119 (3), ⟨10.4310/jdg/1635368350⟩
Article dans une revue hal-03679002v1

Finding Weakly Simple Closed Quasigeodesics on Polyhedral Spheres

Jean Chartier , Arnaud de Mesmay
38th International Symposium on Computational Geometry (SoCG 2022), Jun 2022, Berlin, Germany. ⟨10.4230/LIPIcs.SoCG.2022.27⟩
Communication dans un congrès hal-03713060v1

A Structural Approach to Tree Decompositions of Knots and Spatial Graphs

Corentin Lunel , Arnaud de Mesmay
International Symposium on Computational Geometry (SoCG), Jun 2023, Dallas, United States. ⟨10.4230/LIPIcs.SoCG.2023.50⟩
Communication dans un congrès hal-04235445v1
Image document

The unbearable hardness of unknotting

Arnaud de Mesmay , Yoav Rieck , Eric Sedgwick , Martin Tancer
Advances in Mathematics, 2021, 35th International Symposium on Computational Geometry (SoCG 2019), 381, pp.107648. ⟨10.1016/j.aim.2021.107648⟩
Article dans une revue hal-02136935v1

On the tree-width of knot diagrams

Arnaud de Mesmay , Jessica Purcell , Saul Schleimer , Eric Sedgwick
Journal of Computational Geometry, 2019, 10 (1), pp.164-180. ⟨10.20382/jocg.v10i1a6⟩
Article dans une revue hal-02294742v1

Tightening Curves on Surfaces Monotonically with Applications

Hsien-Chih Chang , Arnaud de Mesmay
Proceedings of the 2020 ACM-SIAM Symposium on Discrete Algorithms, Jan 2020, Salt Lake City, United States. pp.747-766, ⟨10.1137/1.9781611975994.46⟩
Communication dans un congrès hal-03052891v1

A Fixed Parameter Tractable Approximation Scheme for the Optimal Cut Graph of a Surface

Vincent Cohen-Addad , Arnaud de Mesmay
23rd Annual European Symposium on Algorithms, pp.386-398, 2015
Chapitre d'ouvrage hal-02169505v1
Image document

Topics in Low-Dimensional Computational Topology

Arnaud de Mesmay
Computational Geometry [cs.CG]. Ecole normale supérieure, 2014. English. ⟨NNT : ⟩
Thèse tel-04462650v1

Almost Tight Lower Bounds for Hard Cutting Problems in Embedded Graphs

Vincent Cohen-Addad , Éric Colin de Verdière , Dániel Marx , Arnaud de Mesmay
Journal of the ACM (JACM), 2021, 68 (4), pp.1-26. ⟨10.1145/3450704⟩
Article dans une revue hal-03432633v1

A Near-Linear Approximation Scheme for Multicuts of Embedded Graphs with a Fixed Number of Terminals

Vincent Cohen-Addad , Éric Colin de Verdière , Arnaud de Mesmay
ACM-SIAM Symposium on Discrete Algorithms, Jan 2018, New Orleans, United States. pp.1439-1458
Communication dans un congrès hal-01649756v1

Almost tight lower bounds for hard cutting problems in embedded graphs

Vincent Cohen-Addad , Éric Colin de Verdière , Dániel Marx , Arnaud de Mesmay
SoCG 2019 - 35th International Symposium on Computational Geometry, Jun 2019, Portland, OR, United States
Communication dans un congrès hal-02136928v1

Shortest Path Embeddings of Graphs on Surfaces

Alfredo Hubard , Vojtech Kaluza , Arnaud de Mesmay , Martin Tancer
SoCG 2016 - 32nd International Symposium on Computational Geometry, Jun 2016, Boston, MA, United States. pp.43:1--43:16, ⟨10.4230/LIPIcs.SoCG.2016.43⟩
Communication dans un congrès hal-01355135v1

Tightening Curves on Surfaces Via Local Moves

Hsien-Chih Chang , Jeff Erickson , David Letscher , Arnaud de Mesmay , Saul Schleimer , et al.
ACM-SIAM Symposium on Discrete Algorithms, Jan 2018, New Orleans, United States
Communication dans un congrès hal-01649785v1

On the complexity of optimal homotopies

Erin Wolf Chambers , Arnaud de Mesmay , Tim Ophelders
ACM-SIAM Symposium on Discrete Algorithms, Jan 2018, New Orleans, United States
Communication dans un congrès hal-01649771v1

Finding Non-orientable Surfaces in 3-Manifolds

Benjamin A. Burton , Arnaud de Mesmay , Uli Wagner
Discrete and Computational Geometry, 2017, 58 (4), pp.871--888. ⟨10.1007/s00454-017-9900-0⟩
Article dans une revue hal-01539682v1

Embeddability in R 3 is NP-hard

Arnaud de Mesmay , Yo’av Rieck , Eric Sedgwick , Martin Tancer
Journal of the ACM (JACM), 2020, 67 (4), pp.1-29. ⟨10.1145/3396593⟩
Article dans une revue hal-03052877v1

Homotopy height, grid-major height and graph-drawing height

Therese Biedl , Erin Wolf Chambers , David Eppstein , Arnaud de Mesmay , Tim Ophelders
Graph Drawing 2019, Sep 2019, Prague, Czech Republic
Communication dans un congrès hal-02294785v1

Fitting Metrics and Ultrametrics with Minimum Disagreements

Vincent Cohen-Addad , Chenglin Fan , Euiwoong Lee , Arnaud de Mesmay
2022 IEEE 63rd Annual Symposium on Foundations of Computer Science (FOCS), Oct 2022, Denver, United States. pp.301-311, ⟨10.1109/FOCS54457.2022.00035⟩
Communication dans un congrès hal-04235464v1

Short Topological Decompositions of Non-orientable Surfaces

Niloufar Fuladi , Alfredo Hubard , Arnaud de Mesmay
Discrete and Computational Geometry, 2023, ⟨10.1007/s00454-023-00580-3⟩
Article dans une revue hal-04448733v1

Short Topological Decompositions of Non-Orientable Surfaces

Niloufar Fuladi , Alfredo Hubard , Arnaud de Mesmay
38th International Symposium on Computational Geometry (SoCG 2022), Jun 2022, Berlin, Germany. ⟨10.4230/LIPIcs.SoCG.2022.41⟩
Communication dans un congrès hal-03713055v1

Algorithms for Contractibility of Compressed Curves on 3-Manifold Boundaries

Erin W. Chambers , Francis Lazarus , Arnaud de Mesmay , Salman Parsa
37th International Symposium on Computational Geometry (SoCG 2021), Jun 2021, Buffalo, United States. ⟨10.4230/LIPIcs.SoCG.2021.23⟩
Communication dans un congrès hal-03432592v1

The Bane of Low-Dimensionality Clustering

Vincent Cohen-Addad , Arnaud de Mesmay , Eva Rotenberg , Alan Roytman
ACM-SIAM Symposium on Discrete Algorithms, Jan 2018, New Orleans, United States
Communication dans un congrès hal-01649763v1
Image document

Interactions between algorithms, geometry and topology in low dimensions

Arnaud de Mesmay
Computational Geometry [cs.CG]. Paris Est Sup, 2022
HDR tel-04418597v2

Almost tight lower bounds for hard cutting problems in embedded graphs

Vincent Cohen-Addad , Éric Colin de Verdière , Dániel Marx , Arnaud de Mesmay
Journal of the ACM (JACM), 2021, 68 (30), pp.1-26. ⟨10.1145/3450704⟩
Article dans une revue hal-04510609v1

Embeddability in R^3 is NP-hard

Arnaud de Mesmay , Yoav Rieck , Eric Sedgwick , Martin Tancer
ACM-SIAM Symposium on Discrete Algorithms, Jan 2018, New Orleans, United States
Communication dans un congrès hal-01649774v1
Image document

Exposé Bourbaki 1121 : Nœuds, mouvements de Reidemeister et algorithmes (d'après Lackenby)

Arnaud de Mesmay
Asterisque, 2019, 407, pp.27-52. ⟨10.24033/ast.1059⟩
Article dans une revue hal-02367807v1

Finding non-orientable surfaces in 3-manifolds

Benjamin A. Burton , Arnaud de Mesmay , Uli Wagner
SoCG 2016 - 32nd International Symposium on Computational Geometry, Jun 2016, Boston, MA, United States. pp.24:1--24:15, ⟨10.4230/LIPIcs.SoCG.2016.24⟩
Communication dans un congrès hal-01355133v1

Shortest path embeddings of graphs on surfaces

Alfredo Hubard , Vojtech Kaluza , Arnaud de Mesmay , Martin Tancer
Discrete and Computational Geometry, 2017, 58 (4), pp.921--945. ⟨10.1007/s00454-017-9898-3⟩
Article dans une revue hal-01539791v1