Pavel Paták

Generating author description...

All published works

Action	Title	Year	Authors
+ PDF Chat	Disjoint Compatibility via Graph Classes	2024	Oswin Aichholzer Julia Obmann Pavel Paták Daniel Perz Josef Tkadlec Birgit Vogtenhuber
+	Jordan-Hölder Theorem with Uniqueness for Semimodular Lattices	2024	Pavel Paták
+	Embeddings of k-Complexes into 2k-Manifolds	2023	Pavel Paták Martin Tancer
+	Shellability Is Hard Even for Balls	2023	Pavel Paták Martin Tancer
+	Shellability is hard even for balls	2022	Pavel Paták Martin Tancer
+	Bounding Radon's number via Betti numbers in the plane.	2019	Pavel Paták
+	Properties of closure operators in the plane	2019	Pavel Paták
+	Jordan-Hölder with uniqueness for semimodular semilattices	2019	Pavel Paták
+ PDF Chat	Shellability is NP-complete	2019	Xavier Goaoc Pavel Paták Zuzana Patáková Martin Tancer Uli Wagner
+	Properties of closure operators in the plane	2019	Pavel Paták
+	Embeddings of $k$-complexes into $2k$-manifolds	2019	Pavel Paták Martin Tancer
+	Jordan-Hölder with uniqueness for semimodular semilattices	2019	Pavel Paták
+ PDF Chat	Shellability is NP-complete	2018	Xavier Goaoc Pavel Paták Zuzana Patáková Martin Tancer Uli Wagner
+ PDF Chat	Shellability is NP-complete	2018	Xavier Goaoc Pavel Paták Zuzana Patáková Martin Tancer Uli Wagner
+ PDF Chat	On generalized Heawood inequalities for manifolds: a van Kampen–Flores-type nonembeddability result	2017	Xavier Goaoc Isaac Mabillard Pavel Paták Zuzana Patáková Martin Tancer Uli Wagner
+	A Direct Proof of the Strong Hanani-Tutte Theorem on the Projective Plane	2017	Éric Colin de Verdière Vojtěch Kaluža Pavel Paták Zuzana Patáková Martin Tancer
+ PDF Chat	Colorful Simplicial Depth, Minkowski Sums, and Generalized Gale Transforms	2017	Karim Adiprasito Philip Brinkmann Arnau Padrol Pavel Paták Zuzana Patáková Raman Sanyal
+	Tverberg type theorems for matroids	2017	Pavel Paták
+	Bounding Helly Numbers via Betti Numbers	2017	Xavier Goaoc Pavel Paták Zuzana Patáková Martin Tancer Uli Wagner
+	Shellability is NP-complete	2017	Xavier Goaoc Pavel Paták Zuzana Patáková Martin Tancer Uli Wagner
+	A Direct Proof of the Strong Hanani-Tutte Theorem on the Projective Plane	2016	Éric Colin de Verdière Vojtěch Kaluža Pavel Paták Zuzana Patáková Martin Tancer
+	Colorful simplicial depth, Minkowski sums, and generalized Gale transforms	2016	Karim Adiprasito Philip Brinkmann Arnau Padrol Pavel Paták Zuzana Patáková Raman Sanyal
+ PDF Chat	A Direct Proof of the Strong Hanani–Tutte Theorem on the Projective Plane	2016	Éric Colin de Verdière Vojtěch Kaluža Pavel Paták Zuzana Patáková Martin Tancer
+	A Direct Proof of the Strong Hanani-Tutte Theorem on the Projective Plane	2016	Éric Colin de Verdière Vojtěch Kaluža Pavel Paták Zuzana Patáková Martin Tancer
+	Colorful simplicial depth, Minkowski sums, and generalized Gale transforms	2016	Karim Adiprasito Philip Brinkmann Arnau Padrol Pavel Paták Zuzana Patáková Raman Sanyal
+	On Generalized Heawood Inequalities for Manifolds: a van Kampen--Flores-type Nonembeddability Result	2016	Xavier Goaoc and Isaac Mabillard Pavel Paták Zuzana Patáková Martin Tancer Uli Wagner
+ PDF Chat	Bounds for Pach’s Selection Theorem and for the Minimum Solid Angle in a Simplex	2015	Роман Карасев Jan Kynčl Pavel Paták Zuzana Patáková Martin Tancer
+	On Generalized Heawood Inequalities for Manifolds: A Van Kampen–Flores-type Nonembeddability Result	2015	Xavier Goaoc Isaac Mabillard Pavel Paták Zuzana Patáková Martin Tancer Uli Wagner
+ PDF Chat	Three-Monotone Interpolation	2015	Josef Cibulka Jiřı́ Matoušek Pavel Paták
+ PDF Chat	Bounding Helly Numbers via Betti Numbers	2015	Xavier Goaoc Pavel Paták Zuzana Patáková Martin Tancer Uli Wagner
+ PDF Chat	Simplifying Inclusion–Exclusion Formulas	2014	Xavier Goaoc Jiřı́ Matoušek Pavel Paták Zuzana Safernová Martin Tancer
+	Bounding Helly numbers via Betti numbers	2013	Xavier Goaoc Pavel Paták Zuzana Patáková Martin Tancer Uli Wagner
+ PDF Chat	Simplifying inclusion-exclusion formulas	2013	Xavier Goaoc Jiřı́ Matoušek Pavel Paták Zuzana Safernová Martin Tancer
+ PDF Chat	Simplifying inclusion-exclusion formulas	2013	Xavier Goaoc Jiřı́ Matoušek Pavel Paták Zuzana Safernová Martin Tancer
+ PDF Chat	Simplifying inclusion — exclusion formulas	2013	Xavier Goaoc Jiřı́ Matoušek Pavel Paták Zuzana Safernová Martin Tancer
+	Bounding Helly numbers via Betti numbers	2013	Xavier Goaoc Pavel Paták Zuzana Patáková Martin Tancer Uli Wagner
+	Simplifying inclusion-exclusion formulas	2012	Xavier Goaoc Jiřı́ Matoušek Pavel Paták Zuzana Safernová Martin Tancer

Common Coauthors

Coauthor	Papers Together
Martin Tancer	25
Zuzana Patáková	19
Xavier Goaoc	16
Uli Wagner	11
Jiřı́ Matoušek	6
Zuzana Safernová	5
Vojtěch Kaluža	4
Éric Colin de Verdière	4
Philip Brinkmann	3
Raman Sanyal	3
Arnau Padrol	3
Karim Adiprasito	3
Isaac Mabillard	2
Jan Kynčl	1
Oswin Aichholzer	1
Birgit Vogtenhuber	1
and Isaac Mabillard	1
Daniel Perz	1
Josef Cibulka	1
Julia Obmann	1
Роман Карасев	1
Josef Tkadlec	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Using the Borsuk–Ulam Theorem	2008	Jiřı́ Matoušek	9
+	Algebraic topology	2001	Allen Hatcher	8
+	Komplexe in euklidischen Räumen	1933	E. R. van Kampen	7
+	Elements of Algebraic Topology	2018	James R. Munkres	5
+	Introduction to Piecewise-Linear Topology	1972	Colin Rourke Brian Sanderson	4
+ PDF Chat	On generalized Heawood inequalities for manifolds: a van Kampen–Flores-type nonembeddability result	2017	Xavier Goaoc Isaac Mabillard Pavel Paták Zuzana Patáková Martin Tancer Uli Wagner	4
+ PDF Chat	Inclusion-Exclusion Formulas from Independent Complexes	2006	Dominique Attali Herbert Edelsbrunner	3
+ PDF Chat	The van Kampen obstruction and its relatives	2009	Sergey A. Melikhov	3
+	Minors in random and expanding hypergraphs	2011	Uli Wagner	3
+	The 9-vertex complex projective plane	1983	Wolfgang Kühnel Thomas Banchoff	3
+	Map Color Theorem	1974	Gerhard Ringel	3
+	ELEMENTS OF ALGEBRAIC TOPOLOGY	1972	Kazimierz Kuratowski	3
+ PDF Chat	Set Partitioning via Inclusion-Exclusion	2009	Andreas Björklund Thore Husfeldt Mikko Koivisto	3
+	On the van Kampen-Flores theorem	1996	Aleksei Yur'evich Volovikov	3
+ PDF Chat	Clustered Planarity Testing Revisited	2015	Radoslav Fulek Jan Kynčl Igor Malinović Dömötör Pálvölgyi	3
+	Toward a theory of crossing numbers	1970	W. T. Tutte	3
+	A generalization of carathéodory's theorem	1982	Imre Bárány	3
+ PDF Chat	Über wesentlich unplättbare Kurven im dreidimensionalen Raume	1934	Ch. Chojnacki	3
+	d-Collapsing and nerves of families of convex sets	1975	Gerd Wegner	3
+ PDF Chat	A new look at the Jordan-Hölder theorem for semimodular lattices	2010	George Grätzer J. B. Nation	2
+ PDF Chat	On spaces having the homotopy type of 𝐶𝑊-complex	1959	John Milnor	2
+	Helly type properties of unions of convex sets	1968	D. G. Larman	2
+ PDF Chat	Helly-type theorems for homothets of planar convex curves	2002	Konrad J. Swanepoel	2
+	A Theorem on General Measure	1946	R. Rado	2
+ PDF Chat	Inclusion-exclusion complexes for pseudodisk collections	1997	Herbert Edelsbrunner Edgar A. Ramos	2
+ PDF Chat	Sur le problème des courbes gauches en Topologie	1930	Casimir Kuratowski	2
+	The colourful simplicial depth conjecture	2014	Pauline Sarrabezolles	2
+ PDF Chat	Proof of grünbaum's conjecture on common transversals for translates	1989	Helge Tverberg	2
+ PDF Chat	A short proof of an interesting helly-type theorem	1996	Nina Amenta	2
+ PDF Chat	Cremona convexity, frame convexity and a theorem of Santaló	2006	Jacob E. Goodman Andreas F. Holmsen Richard Pollack Kristian Ranestad Frank Sottile	2
+	Über Systeme von abgeschlossenen Mengen mit gemeinschaftlichen Punkten	1930	Eduard Helly	2
+ PDF Chat	Hadwiger and Helly-type theorems for disjoint unit spheres in R <sup>3</sup>	2005	Otfried Cheong Xavier Goaoc Andreas F. Holmsen	2
+	The unique 3-neighborly 4-manifold with few vertices	1983	Wolfgang Kühnel G. Laßmann	2
+	Kneser's conjecture, chromatic number, and homotopy	1978	László Lovász	2
+ PDF Chat	A New Topological Helly Theorem and Some Transversal Results	2014	Luis Montejano	2
+	Toward a Theory of Planarity: Hanani-Tutte and Planarity Variants	2013	Marcus Schaefer	2
+	Projective Geometry over 픽<sub>1</sub> and the Gaussian Binomial Coefficients	2004	Henry Cohn	2
+ PDF Chat	On the Betti numbers of real varieties	1964	John Milnor	2
+ PDF Chat	A generalized van Kampen-Flores theorem	1991	K. S. Sarkaria	2
+	A helly type theorem for hypersurfaces	1987	Michel Deza Péter Frankl	2
+ PDF Chat	Helly-type theorems for spheres	1989	Hiroshi Maehara	2
+ PDF Chat	The Whitney extension problem and Lipschitz selections of set-valued mappings in jet-spaces	2008	Pavel Shvartsman	2
+	Helly-Type Theorems and Geometric Transversals	2004	Rephael Wenger	2
+ PDF Chat	Abstract tubes, improved inclusion-exclusion identities and inequalities and importance sampling	1997	Daniel Q. Naiman Henry P. Wynn	2
+	15-vertex triangulations of an 8-manifold	1992	Ulrich Brehm Wolfgang Kühnel	2
+ PDF Chat	Leray numbers of projections and a topological Helly-type theorem	2008	Gil Kalai Roy Meshulam	2
+ PDF Chat	Inclusion-Exclusion-Bonferroni Identities and Inequalities for Discrete Tube-Like Problems via Euler Characteristics	1992	Daniel Q. Naiman Henry P. Wynn	2
+	Mengen konvexer K�rper, die einen gemeinsamen Punkt enthalten	1921	Johann Radon	2
+	A characterization of planar graphs by trémaux orders	1985	Hubert de Fraysseix Pierre Rosenstiehl	2
+	Helly Type Theorems Derived from Basic Singular Homology	1970	Hans Debrunner	2