Publications: Prof Michael Farber
Farber M, Paul AK
(
2023
)
.
SEQUENTIAL PARAMETRIZED MOTION PLANNING AND ITS COMPLEXITY, II
.
Topology and its Applications
Farber M, Weinberger S
(
2023
)
.
Parametrized topological complexity of sphere bundles
.
Topological Methods of Nonlinear Analysis
Cohen DC, Farber M, Weinberger S
(
2023
)
.
Correction to: Parametrized topological complexity of collision-free motion planning in the plane (Annals of Mathematics and Artificial Intelligence, (2022), 90, 10, (999-1015), 10.1007/s10472-022-09801-6)
.
Annals of Mathematics and Artificial Intelligence
vol.
91
,
(
1
)
105
-
106
.
Farber M, Weinberger S
(
2023
)
.
Parametrized Motion Planning and Topological Complexity
.
vol.
25 SPAR
,
Farber M, Paul AK
(
2022
)
.
Sequential Parametrized Motion Planning and its complexity
.
Topology and its Applications108256
-
108256
.
Cohen DC, Farber M, Weinberger S
(
2022
)
.
Parametrized topological complexity of collision-free motion planning in the plane
.
Annals of Mathematics and Artificial Intelligence
vol.
90
,
(
10
)
999
-
1015
.
Farber M, Even - Zohar C, Mead L
(
2022
)
.
Ample simplicial complexes
.
European Journal of Mathematics
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‐dimensional 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
.