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Research

Publications: Prof Michael Farber

Farber M, Paul AK ( 2022 ) . Sequential Parametrized Motion Planning and its complexity . Topology and its Applications108256 - 108256 .
Farber M, Even - Zohar C, Mead L ( 2022 ) . Ample simplicial complexes . European Journal of Mathematics
Cohen DC, Farber M, Weinberger S ( 2022 ) . Parametrized topological complexity of collision-free motion planning in the plane . Annals of Mathematics and Artificial Intelligence
Cohen DC, Farber M, Weinberger S ( 2021 ) . Topology of parametrized motion planning algorithms . SIAM Journal on Applied Algebra and Geometry vol. 5 , ( 2 ) 229 - 249 .
Farber M, Mead L, Strauss L ( 2021 ) . The Rado simplicial complex . Journal of Applied and Computational Topology vol. 5 , ( 2 ) 339 - 356 .
Farber M, Even-Zohar C ( 2021 ) . Random surfaces with boundary . Discrete and Computational Geometry: an international journal of mathematics and computer science
Farber M, Nowik T ( 2021 ) . TOPOLOGICAL EMBEDDINGS INTO RANDOM 2-COMPLEXES . Random Structures and Algorithms
Farber M, Kishimoto D, Stanley D ( 2020 ) . Generating functions and topological complexity . Topology and its Applications vol. 278 ,
Farber M, Mescher S ( 2020 ) . On the topological complexity of aspherical spaces . Journal of Topology and Analysis vol. 12 , ( 2 ) 293 - 319 .
Goubault E, Farber M, Sagnier A ( 2020 ) . Directed topological complexity . Journal of Applied and Computational Topology vol. 4 , ( 1 ) 11 - 27 .
Farber M, Mead L ( 2020 ) . Random simplicial complexes in the medial regime . Topology and its Applications: a journal devoted to general, geometric, set-theoretic and algebraic topology Article 107065 , 107065 - 107065 .
Farber M, Mead L, Nowik T ( 2019 ) . Random simplicial complexes, duality and the critical dimension . Journal of Topology and Analysis1 - 31 .
Farber M, Oprea J ( 2019 ) . Higher topological complexity of aspherical spaces . Topology and its Applications vol. 258 , 142 - 160 .
Farber M, Grant M, Lupton G, Oprea J ( 2019 ) . An upper bound for topological complexity . Topology and its Applications vol. 255 , 109 - 125 .
Farber M, Grant M, Lupton G, Oprea J ( 2019 ) . Bredon cohomology and robot motion planning . Algebraic and Geometric Topology vol. 19 , ( 4 ) 2023 - 2059 .
FARBER M ( 2017 ) . Configuration Spaces and Motion Planning Algorithms . Combinatorial and Toric Topology , Editors: Grbic, J, Darby,, A, Wu, J ,
Costa A, Farber M ( 2017 ) . Large random simplicial complexes, III the critical dimension . Journal of Knot Theory and its Ramifications vol. 26 , ( 2 )
Farber M ( 2017 ) . Configuration spaces and robot motion planning algorithms . Combinatorial and Toric Homotopy: Introductory Lectures ,
FARBER M, Costa A ( 2016 ) . Large random simplicial complexes, II; the fundamental group . Journal of Topology and Analysis
Cohen D, Costa A, Farber M, Kappeler T ( 2016 ) . Correction to Our Article “Topology of Random 2-Complexes” Published in DCG 47 (2012), pp. 117–149 . Discrete and Computational Geometry vol. 56 , ( 2 ) 502 - 503 .
Costa A, Farber M ( 2016 ) . Random simplicial complexes . Springer INdAM Series vol. 14 , 129 - 153 .
Costa AE, Farber M ( 2015 ) . Geometry and topology of random 2-complexes . Israel Journal of Mathematics vol. 209 , ( 2 ) 883 - 927 .
FARBER M, Costa A ( 2015 ) . Large random simplicial complexes, I . Journal of Topology and Analysis vol. 8 , ( 3 ) 399 - 429 .
Costa A, Farber M, Horak D ( 2015 ) . Fundamental groups of clique complexes of random graphs . Transactions of the London Mathematical Society vol. 2 , ( 1 ) 1 - 32 .
Costa AE, Farber M ( 2013 ) . The asphericity of random 2‚Äźdimensional complexes . Random Structures and Algorithms vol. 46 , ( 2 ) 261 - 273 .
Farber M, Fromm V ( 2012 ) . The topology of spaces of polygons . Transactions of the American Mathematical Society vol. 365 , ( 6 ) 3097 - 3114 .