Bonnet, Édouard
- Twin-width I: tractable FO model checking
2020/04/30 by Bonnet, Édouard, Kim, Eun Jung, Thomassé, Stéphan +1 · 11 citations
#68Q25 #Data Structures and Algorithms (cs.DS) #Discrete Mathematics (cs.DM) #F.2.2 #FOS: Computer and information sciences #Logic in Computer Science (cs.LO)
- Twin-width IV: ordered graphs and matrices
2021/02/05 by Édouard Bonnet, Bonnet, Édouard, Ugo Giocanti +9 · 7 citations
Engineering · Computer Science · #graph theory and CDMA systems #semigroups and automata theory #Coding theory and cryptography
- Twin-width II: small classes
2020/06/17 by Édouard Bonnet, Colin Geniet, Bonnet, Édouard +7 · 7 citations
Computer Science · Mathematics · #05C30 #05C48 #68R10 #Advanced Graph Theory Research #Combinatorics (math.CO) #Data Structures and Algorithms (cs.DS) #Discrete Mathematics (cs.DM) #FOS: Computer and information sciences #FOS: Mathematics #G.2.2 #Graph Labeling and Dimension Problems #Limits and Structures in Graph Theory #Logic in Computer Science (cs.LO)
- Complexity of Token Swapping and its Variants
2016/07/26 by Bonnet, Édouard, Miltzow, Tillmann, Rzążewski, Paweł · 4 citations
#Computational Complexity (cs.CC) #Data Structures and Algorithms (cs.DS) #Discrete Mathematics (cs.DM) #FOS: Computer and information sciences
- Fixed-parameter Approximability of Boolean MinCSPs
2016/01/19 by Bonnet, Édouard, Egri, László, Lin, Bingkai +1 · 3 citations
#68Q17 #Computational Complexity (cs.CC) #F.2.2 #FOS: Computer and information sciences
- Twin-width VI: the lens of contraction sequences
2021/10/30 by Bonnet, Édouard, Kim, Eun Jung, Reinald, Amadeus +1 · 4 citations
#05C85 #68R10 #Combinatorics (math.CO) #Data Structures and Algorithms (cs.DS) #Discrete Mathematics (cs.DM) #F.2.2 #FOS: Computer and information sciences #FOS: Mathematics #Logic in Computer Science (cs.LO)
- Parameterized Complexity of Independent Set in H-Free Graphs
2018/10/10 by Bonnet, Édouard, Bousquet, Nicolas, Charbit, Pierre +2 · 2 citations
#Computational Complexity (cs.CC) #Data Structures and Algorithms (cs.DS) #FOS: Computer and information sciences
- Twin-width and polynomial kernels
2021/07/06 by Bonnet, Édouard, Kim, Eun Jung, Reinald, Amadeus +2 · 3 citations
#05C85 #Combinatorics (math.CO) #Computational Complexity (cs.CC) #Data Structures and Algorithms (cs.DS) #Discrete Mathematics (cs.DM) #F.2.2 #FOS: Computer and information sciences #FOS: Mathematics
- Reduced bandwidth: a qualitative strengthening of twin-width in minor-closed classes (and beyond)
2022/02/24 by Édouard Bonnet, O‐joung Kwon, Bonnet, Édouard +3 · 3 citations
Computer Science · #Advanced Graph Theory Research #Complexity and Algorithms in Graphs
- Deciding twin-width at most 4 is NP-complete
2021/12/16 by Bergé, Pierre, Bonnet, Édouard, Déprés, Hugues · 3 citations
#68Q17 #Combinatorics (math.CO) #Computational Complexity (cs.CC) #Data Structures and Algorithms (cs.DS) #Discrete Mathematics (cs.DM) #F.2.2 #FOS: Computer and information sciences #FOS: Mathematics
- Parameterized Intractability of Even Set and Shortest Vector Problem
2019/09/04 by Bhattacharyya, Arnab, Bonnet, Édouard, Egri, László +5 · 2 citations
#Computational Complexity (cs.CC) #FOS: Computer and information sciences
- Optimality program in segment and string graphs
2017/12/24 by Bonnet, Édouard, Rzążewski, Paweł · 2 citations
#68Q17 #68Q25 #Computational Geometry (cs.CG) #F.2.2 #FOS: Computer and information sciences #G.2.2
- Treewidth is Polynomial in Maximum Degree on Weakly Sparse Graphs Excluding a Planar Induced Minor
2023/12/13 by Édouard Bonnet, Jędrzej Hodor, Bonnet, Édouard +5 · 3 citations
Computer Science · Mathematics · #05C83 #Advanced Graph Theory Research #Combinatorics (math.CO) #Computational Geometry and Mesh Generation #Data Structures and Algorithms (cs.DS) #Discrete Mathematics (cs.DM) #FOS: Computer and information sciences #FOS: Mathematics #G.2.2 #Limits and Structures in Graph Theory
- Twin-width VIII: delineation and win-wins
2022/04/01 by Édouard Bonnet, Dibyayan Chakraborty, Bonnet, Édouard +9 · 2 citations
Computer Science · Engineering · #05C75 #05C85 #Advanced Graph Theory Research #Combinatorics (math.CO) #Data Structures and Algorithms (cs.DS) #Discrete Mathematics (cs.DM) #F.2.2 #FOS: Computer and information sciences #FOS: Mathematics #Logic in Computer Science (cs.LO) #graph theory and CDMA systems #semigroups and automata theory
- Twin-width VII: groups
2022/04/26 by Édouard Bonnet, Colin Geniet, Bonnet, Édouard +5 · 2 citations
Computer Science · Mathematics · #05C25 (Primary) 20F65 #05C30 (Secondary) #Cellular Automata and Applications #Combinatorics (math.CO) #Discrete Mathematics (cs.DM) #FOS: Computer and information sciences #FOS: Mathematics #Finite Group Theory Research #G.2.2 #Geometric and Algebraic Topology #Group Theory (math.GR)
- On the Complexity of Various Parameterizations of Common Induced Subgraph Isomorphism
2014/12/03 by Abu-Khzam, Faisal N., Bonnet, Édouard, Sikora, Florian · 1 citation
#Data Structures and Algorithms (cs.DS) #FOS: Computer and information sciences
- An Approximation Algorithm for the Art Gallery Problem
2016/07/19 by Bonnet, Édouard, Miltzow, Tillmann · 1 citation
#Computational Geometry (cs.CG) #Data Structures and Algorithms (cs.DS) #Discrete Mathematics (cs.DM) #FOS: Computer and information sciences
- QPTAS and Subexponential Algorithm for Maximum Clique on Disk Graphs
2017/12/13 by Bonnet, Édouard, Giannopoulos, Panos, Kim, Eun Jung +2 · 1 citation
#Computational Geometry (cs.CG) #Data Structures and Algorithms (cs.DS) #F.2.2 #FOS: Computer and information sciences #G.2.2
- On the Parameterized Complexity of Red-Blue Points Separation
2017/10/02 by Bonnet, Édouard, Giannopoulos, Panos, Lampis, Michael · 1 citation
#Computational Geometry (cs.CG) #F.2.2 #FOS: Computer and information sciences
- EPTAS for Max Clique on Disks and Unit Balls
2018/03/05 by Bonamy, Marthe, Bonnet, Édouard, Bousquet, Nicolas +2 · 1 citation
#68Q25 #Computational Geometry (cs.CG) #F.2.2 #FOS: Computer and information sciences
- Metric Dimension Parameterized by Treewidth
2019/07/18 by Bonnet, Édouard, Purohit, Nidhi · 1 citation
#68Q17 #Computational Complexity (cs.CC) #Data Structures and Algorithms (cs.DS) #F.2.2 #FOS: Computer and information sciences
- Maximum Clique in Disk-Like Intersection Graphs
2020/03/05 by Bonnet, Édouard, Grelier, Nicolas, Miltzow, Tillmann · 1 citation
#68Q25 #68U05 #Computational Complexity (cs.CC) #Computational Geometry (cs.CG) #Data Structures and Algorithms (cs.DS) #F.2.2 #FOS: Computer and information sciences
- Treewidth Inapproximability and Tight ETH Lower Bound
2024/06/17 by Bonnet, Édouard · 2 citations
#68Q17 #Combinatorics (math.CO) #Computational Complexity (cs.CC) #Data Structures and Algorithms (cs.DS) #Discrete Mathematics (cs.DM) #F.2.2 #FOS: Computer and information sciences #FOS: Mathematics
- Model Checking on Interpretations of Classes of Bounded Local Cliquewidth
2022/02/25 by Bonnet, Édouard, Dreier, Jan, Gajarský, Jakub +4 · 1 citation
#05C85 #Combinatorics (math.CO) #Data Structures and Algorithms (cs.DS) #Discrete Mathematics (cs.DM) #F.2.2 #FOS: Computer and information sciences #FOS: Mathematics #Logic in Computer Science (cs.LO)
- Twin-width can be exponential in treewidth
2022/04/15 by Bonnet, Édouard, Déprés, Hugues · 1 citation
#05C05 #05C75 #Combinatorics (math.CO) #Discrete Mathematics (cs.DM) #FOS: Computer and information sciences #FOS: Mathematics #G.2.2
- Twin-width V: linear minors, modular counting, and matrix multiplication
2022/09/24 by Bonnet, Édouard, Giocanti, Ugo, de Mendez, Patrice Ossona +1 · 1 citation
#68W01 #Combinatorics (math.CO) #Data Structures and Algorithms (cs.DS) #Discrete Mathematics (cs.DM) #F.2.2 #FOS: Computer and information sciences #FOS: Mathematics #Logic in Computer Science (cs.LO)
- Mim-Width is paraNP-complete
2025/01/10 by Bergougnoux, Benjamin, Bonnet, Édouard, Duron, Julien · 2 citations
#68Q27 #Combinatorics (math.CO) #Computational Complexity (cs.CC) #Data Structures and Algorithms (cs.DS) #Discrete Mathematics (cs.DM) #F.2.2 #FOS: Computer and information sciences #FOS: Mathematics
- Factoring Pattern-Free Permutations into Separable ones
2023/08/06 by Bonnet, Édouard, Bourneuf, Romain, Geniet, Colin +1 · 1 citation
#05A05 #Combinatorics (math.CO) #Data Structures and Algorithms (cs.DS) #Discrete Mathematics (cs.DM) #FOS: Computer and information sciences #FOS: Mathematics #G.2.1 #Logic in Computer Science (cs.LO)
- Symmetric-Difference (Degeneracy) and Signed Tree Models
2024/05/15 by Bonnet, Édouard, Duron, Julien, Sylvester, John +1 · 1 citation
#05C05 #05C78 #Combinatorics (math.CO) #Computational Complexity (cs.CC) #Data Structures and Algorithms (cs.DS) #Discrete Mathematics (cs.DM) #F.2.2 #FOS: Computer and information sciences #FOS: Mathematics
- Induced Disjoint Paths Without an Induced Minor
2025/02/07 by Aboulker, Pierre, Bonnet, Édouard, Picavet, Timothé +1 · 1 citation
#68Q25 #Combinatorics (math.CO) #Computational Complexity (cs.CC) #Discrete Mathematics (cs.DM) #F.2.2 #FOS: Computer and information sciences #FOS: Mathematics
- Every Graph is Essential to Large Treewidth
2025/02/20 by Alecu, Bogdan, Bonnet, Édouard, Villafana, Pedro Bureo +1 · 1 citation
#05C75 #Combinatorics (math.CO) #Discrete Mathematics (cs.DM) #FOS: Computer and information sciences #FOS: Mathematics #G.2.2