## Björner, Anders

Compute Distance To:
 Author ID: bjorner.anders Published as: Björner, Anders; Björner, A.; Bjoerner, Anders; Bjoerner, A. External Links: MGP · Wikidata · dblp · GND · IdRef
 Documents Indexed: 111 Publications since 1976, including 5 Books 3 Contributions as Editor · 2 Further Contributions Biographic References: 1 Publication Co-Authors: 53 Co-Authors with 75 Joint Publications 1,706 Co-Co-Authors
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### Co-Authors

 41 single-authored 12 Ziegler, Günter Matthias 10 Wachs, Michelle Lynn 6 Kalai, Gil 6 Lovász, László 6 Welker, Volkmar 4 Stanley, Richard Peter 3 Brenti, Francesco 3 Karlander, Johan 3 Matoušek, Jiří 2 Baclawski, Kenneth 2 Billera, Louis J. 2 De Concini, Corrado 2 Ekedahl, Torsten 2 Goodarzi, Afshin 2 Las Vergnas, Michel 2 Linusson, Svante 2 Lutz, Frank Hagen 2 Procesi, Claudio 2 Sagan, Bruce Eli 2 Sturmfels, Bernd 2 Vorwerk, Kathrin 2 Vrećica, Siniša T. 1 Adiprasito, Karim Alexander 1 Babson, Eric K. 1 Butler, Lynne M. 1 Cohen, Frederick Ronald 1 de Longueville, Mark 1 Edelman, Paul H. 1 Eriksson, Kimmo 1 Farley, Jonathan David 1 Frankl, Péter 1 Garsia, Adriano M. 1 Greene, Curtis 1 Hibi, Takayuki 1 Hultman, Axel 1 Korte, Bernhard 1 Lindstrom, Bernt 1 Matveev, Andrey O. 1 Novik, Isabella 1 Paffenholz, Andreas 1 Peeva, Irena V. 1 Reutenauer, Christophe 1 Rival, Ivan 1 Salvetti, Mario 1 Sarkaria, Karanbir Singh 1 Shareshian, John 1 Shor, Peter Williston 1 Sidman, Jessica 1 Simion, Rodica E. 1 Sjöstrand, Jonas 1 Tancer, Martin 1 Walker, James W. 1 Živaljević, Rade T.
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### Serials

 7 European Journal of Combinatorics 6 Discrete Mathematics 6 Journal of Combinatorial Theory. Series A 6 Transactions of the American Mathematical Society 5 Advances in Mathematics 5 Discrete & Computational Geometry 4 Combinatorica 4 The Electronic Journal of Combinatorics 3 Theoretical Computer Science 2 Israel Journal of Mathematics 2 Algebra Universalis 2 Journal of the London Mathematical Society. Second Series 2 Proceedings of the American Mathematical Society 2 Advances in Applied Mathematics 2 Journal of the American Mathematical Society 2 Journal of Algebraic Combinatorics 2 Oberwolfach Reports 2 Encyclopedia of Mathematics and Its Applications 2 Universitext 1 Discrete Applied Mathematics 1 Acta Mathematica 1 Acta Scientiarum Mathematicarum 1 Journal of Combinatorial Theory. Series B 1 Journal of Pure and Applied Algebra 1 Mathematica Scandinavica 1 Michigan Mathematical Journal 1 Topology 1 Acta Applicandae Mathematicae 1 SIAM Journal on Discrete Mathematics 1 Proceedings of the National Academy of Sciences of the United States of America 1 Bulletin of the American Mathematical Society. New Series 1 Notices of the American Mathematical Society 1 Experimental Mathematics 1 Electronic Communications in Probability 1 Annals of Combinatorics 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Pure and Applied Mathematics Quarterly 1 Graduate Texts in Mathematics 1 Mathematical Sciences Research Institute Publications 1 Monographies de l’Enseignement Mathématique 1 Centro di Ricerca Matematica Ennio De Giorgi (CRM) Series 1 Electronic Geometry Model
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### Fields

 79 Combinatorics (05-XX) 46 Order, lattices, ordered algebraic structures (06-XX) 41 Convex and discrete geometry (52-XX) 30 Algebraic topology (55-XX) 25 Manifolds and cell complexes (57-XX) 11 Commutative algebra (13-XX) 11 Group theory and generalizations (20-XX) 10 Computer science (68-XX) 6 Algebraic geometry (14-XX) 6 Category theory; homological algebra (18-XX) 5 Geometry (51-XX) 5 Operations research, mathematical programming (90-XX) 4 General and overarching topics; collections (00-XX) 4 Probability theory and stochastic processes (60-XX) 3 Number theory (11-XX) 2 General topology (54-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematical logic and foundations (03-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX)

### Citations contained in zbMATH Open

97 Publications have been cited 3,441 times in 2,286 Documents Cited by Year
Combinatorics of Coxeter groups. Zbl 1110.05001
Björner, Anders; Brenti, Francesco
2005
Topological methods. Zbl 0851.52016
Björner, Anders
1995
Shellable and Cohen-Macaulay partially ordered sets. Zbl 0441.06002
Björner, Anders
1980
Shellable nonpure complexes and posets. I. Zbl 0857.05102
Björner, Anders; Wachs, Michelle L.
1996
Oriented matroids. 2nd ed. Zbl 0944.52006
Björner, Anders; Las Vergnas, Michel; Sturmfels, Bernd; White, Neil; Ziegler, Günter
1999
Shellable nonpure complexes and posets. II. Zbl 0886.05126
Björner, Anders; Wachs, Michelle L.
1997
Oriented matroids. Zbl 0773.52001
Björner, Anders; Las Vergnas, Michel; Sturmfels, Bernd; White, Neil; Ziegler, Günter M.
1993
The homology and shellability of matroids and geometric lattices. Zbl 0772.05027
Björner, Anders
1992
Using the Borsuk-Ulam theorem. Lectures on topological methods in combinatorics and geometry. Written in cooperation with Anders Björner and Günter M. Ziegler. Zbl 1016.05001
Matoušek, Jiří
2003
Chip-firing games on graphs. Zbl 0729.05048
Björner, Anders; Lovász, László; Shor, Peter W.
1991
On lexicographically shellable posets. Zbl 0514.05009
Bjoerner, Anders; Wachs, Michelle
1983
Bruhat order of Coxeter groups and shellability. Zbl 0481.06002
Bjoerner, Anders; Wachs, Michelle
1982
Posets, regular CW complexes and Bruhat order. Zbl 0538.06001
Björner, A.
1984
Some combinatorial and algebraic properties of Coxeter complexes and Tits buildings. Zbl 0546.06001
Björner, Anders
1984
The homology of “$$k$$-equal” manifolds and related partition lattices. Zbl 0845.57020
Björner, Anders; Welker, Volkmar
1995
Fixed points in partially ordered sets. Zbl 0417.06002
Baclawski, Kenneth; Björner, Anders
1979
Generalized quotients in Coxeter groups. Zbl 0659.05007
Björner, Anders; Wachs, Michelle L.
1988
Introduction to greedoids. Zbl 0772.05026
Björner, Anders; Ziegler, Günter M.
1992
Chessboard complexes and matching complexes. Zbl 0790.57014
Björner, A.; Lovász, László; Vrećica, S. T.; Živaljević, R. T.
1994
Permutation statistics and linear extensions of posets. Zbl 0742.05084
Björner, Anders; Wachs, Michelle L.
1991
Hyperplane arrangements with a lattice of regions. Zbl 0698.51010
Björner, Anders; Edelman, Paul H.; Ziegler, Günter M.
1990
Chip-firing games on directed graphs. Zbl 0805.90142
Björner, Anders; Lovász, László
1992
An extended Euler-Poincaré theorem. Zbl 0667.52008
Björner, Anders; Kalai, Gil
1988
Subspace arrangements. Zbl 0844.52008
Björner, Anders
1994
Combinatorial stratification of complex arrangements. Zbl 0754.52003
Björner, Anders; Ziegler, Günter M.
1992
A homotopy complementation formula for partially ordered sets. Zbl 0508.06005
Bjoerner, Anders; Walker, James W.
1983
Broken circuit complexes: Factorizations and generalizations. Zbl 0753.05019
Björner, Anders; Ziegler, Günter M.
1991
q-hook length formulas for forests. Zbl 0697.06002
Björner, Anders; Wachs, Michelle L.
1989
Homotopy properties of greedoids. Zbl 0642.05014
Björner, Anders; Korte, Bernhard; Lovász, László
1985
Simplicial manifolds, bistellar flips and a 16-vertex triangulation of the Poincaré homology 3-sphere. Zbl 1101.57306
Björner, Anders; Lutz, Frank H.
2000
Complexes of not $$i$$-connected graphs. Zbl 0936.57002
Babson, Eric; Björner, Anders; Linusson, Svante; Shareshian, John; Welker, Volkmar
1999
Linear decision trees, subspace arrangements, and Möbius functions. Zbl 0811.05070
Björner, Anders; Lovász, László
1994
Poset fiber theorems. Zbl 1086.55003
Björner, Anders; Wachs, Michelle L.; Welker, Volkmar
2005
The number of faces of balanced Cohen-Macaulay complexes and a generalized Macaulay theorem. Zbl 0651.05010
Björner, A.; Frankl, P.; Stanley, R.
1987
Nerves, fibers and homotopy groups. Zbl 1030.55006
Björner, Anders
2003
Homotopy type of posets and lattice complementation. Zbl 0442.55011
Björner, Anders
1981
Note: Combinatorial Alexander duality – a short and elementary proof. Zbl 1179.57037
Björner, Anders; Tancer, Martin
2009
Using the Borsuk-Ulam theorem. Lectures on topological methods in combinatorics and geometry. Written in cooperation with Anders Björner and Günter M. Ziegler. 2nd corrected printing. Zbl 1234.05002
Matoušek, Jiří
2008
On sequentially Cohen-Macaulay complexes and posets. Zbl 1247.05270
Björner, Anders; Wachs, Michelle; Welker, Volkmar
2009
Random walks, arrangements, cell complexes, greedoids, and self-organizing libraries. Zbl 1158.60344
Björner, Anders
2008
On the homology of geometric lattices. Zbl 0484.06014
Bjoerner, Anders
1982
Face numbers of polytopes and complexes. Zbl 0917.52008
Billera, Louis J.; Björner, Anders
1997
Subspace arrangements over finite fields: Cohomological and enumerative aspects. Zbl 0896.52021
Björner, Anders; Ekedahl, Torsten
1997
Note: random-to-front shuffles on trees. Zbl 1190.60059
Björner, Anders
2009
Bier spheres and posets. Zbl 1079.52006
Björner, Anders; Paffenholz, Andreas; Sjöstrand, Jonas; Ziegler, Günter M.
2005
An introduction to Cohen-Macaulay partially ordered sets. Zbl 0491.06005
Bjoerner, A.; Garsia, A. M.; Stanley, R. P.
1982
Neighborhood complexes of stable Kneser graphs. Zbl 1047.05015
Björner, A.; de Longueville, M.
2003
The unimodality conjecture for convex polytopes. Zbl 0458.52004
Björner, Anders
1981
Segre and Rees products of posets, with ring-theoretic applications. Zbl 1062.05147
Björner, Anders; Welker, Volkmar
2005
Orderings of Coxeter groups. Zbl 0594.20029
Björner, Anders
1984
Subspace arrangements of type $$B_ n$$ and $$D_ n$$. Zbl 0864.57031
Björner, Anders; Sagan, Bruce E.
1996
On the shape of Bruhat intervals. Zbl 1226.05268
Björner, Anders; Ekedahl, Torsten
2009
The Möbius function of subword order. Zbl 0706.06007
Björner, Anders
1990
On $$f$$-vectors and homology. Zbl 0747.52001
Björner, Anders; Kalai, Gil
1989
Affine permutations of type $$A$$. Zbl 0854.05002
Björner, Anders; Brenti, Francesco
1996
Essential chains and homotopy type of posets. Zbl 0778.05089
Björner, Anders
1992
Subspace arrangements defined by products of linear forms. Zbl 1111.13018
Björner, Anders; Peeva, Irena; Sidman, Jessica
2005
Nonpure shellability, $$f$$-vectors, subspace arrangements and complexity. Zbl 0840.05001
Björner, Anders
1996
On complements in lattices of finite length. Zbl 0468.06004
Björner, Anders
1981
An improved tableau criterion for Bruhat order. Zbl 0884.05096
Björner, Anders; Brenti, Francesco
1996
The Möbius function of factor order. Zbl 0782.68093
Björner, Anders
1993
On matroids, groups and exchange languages. Zbl 0642.05012
Björner, Anders
1985
Extendable shellability for rank 3 matroid complexes. Zbl 0805.05014
Björner, Anders; Eriksson, Kimmo
1994
Pseudomodular lattices and continuous matroids. Zbl 0643.05023
Björner, A.; Lovász, László
1987
Complexes of directed graphs. Zbl 0951.05099
Björner, Anders; Welker, Volkmar
1999
A note on fixed points in semimodular lattices. Zbl 0441.06007
Björner, Anders; Rival, Ivan
1980
Fixed points and complements in finite lattices. Zbl 0459.06004
Baclawski, Kenneth; Björner, Anders
1981
Note on a combinatorial application of Alexander duality. Zbl 0882.06001
Björner, Anders; Butler, Lynne M.; Matveev, Andrey O.
1997
Hyperplace arrangements and box splines. Zbl 1181.41011
Björner, A.; De Concini, C.; Procesi, Claudio
2008
Combinatorics and topology. Zbl 0563.05050
Björner, Anders
1985
Face numbers of scarf complexes. Zbl 0964.52013
Björner, A.
2000
Betti numbers of Buchsbaum complexes. Zbl 0727.55011
Björner, Anders; Hibi, Takayuki
1990
The minimum number of faces of a simple polyhedron. Zbl 0451.52004
Björner, Anders
1980
The number of $$k$$-faces of a simple $$d$$-polytope. Zbl 0935.52010
Björner, A.; Linusson, S.
1999
The mod $$p$$ rank of incidence matrices for connected uniform hypergraphs. Zbl 0780.05042
Björner, Anders; Karlander, Johan
1993
Rationality of the Möbius function of subword order. Zbl 0766.68070
Björner, Anders; Reutenauer, Christophe
1992
Order-reversing maps and unique fixed points in complete lattices. Zbl 0472.06003
Bjoerner, Anders
1981
A general homotopy complementation formula. Zbl 1061.06004
Björner, Anders
1998
On $$f$$-vectors and Betti numbers of multicomplexes. Zbl 0886.55004
Björner, Anders; Vrećica, Siniša
1997
Chain polynomials of distributive lattices are 75% unimodal. Zbl 1064.05154
Björner, Anders; Farley, Jonathan David
2005
Geometrically constructed bases for homology of partition lattices of types $$A$$, $$B$$ and $$D$$. Zbl 1064.05151
Björner, Anders; Wachs, Michelle L.
2004
Some matroid inequalities. Zbl 0446.05013
Björner, Anders
1980
Rationality of the Möbius function of a composition poset. Zbl 1097.68106
Björner, Anders; Sagan, Bruce E.
2006
A comparison theorem for $$f$$-vectors of simplicial polytopes. Zbl 1144.52009
Björner, Anders
2007
Face numbers of sequentially Cohen-Macaulay complexes and Betti numbers of componentwise linear ideals. Zbl 1381.05093
Adiprasito, Karim A.; Björner, Anders; Goodarzi, Afshin
2017
Configuration spaces. Geometry, combinatorics and topology. Zbl 1253.00010
Björner, A.; Cohen, F.; De Concini, C.; Procesi, C.; Salvetti, M.
2012
Continuous partition lattice. Zbl 0623.05010
Björner, Anders
1987
A cell complex in number theory. Zbl 1230.05300
Björner, Anders
2011
On the connectivity of manifold graphs. Zbl 1320.05141
Björner, Anders; Vorwerk, Kathrin
2015
Extended Euler-Poincaré relations for cell complexes. Zbl 0733.55002
Björner, Anders; Kalai, Gil
1991
The zeta function of a simplicial complex. Zbl 0932.57023
Björner, Anders; Sarkaria, Karanbir S.
1998
Partial unimodality for $$f$$-vectors of simplicial polytopes and spheres. Zbl 0815.52011
Björner, Anders
1994
Using Brouwer’s fixed point theorem. Zbl 1382.91021
Björner, Anders; Matoušek, Jiří; Ziegler, Günter M.
2017
Connectivity of chamber graphs of buildings and related complexes. Zbl 1213.05155
Björner, Anders; Vorwerk, Kathrin
2010
A note on blockers in posets. Zbl 1053.06002
Björner, Anders; Hultman, Axel
2004
New perspectives in algebraic combinatorics. Zbl 0927.00011
1999
Communication complexity of two decision problems. Zbl 0769.68042
Björner, Anders; Karlander, Johan; Lindström, Bernt
1992
Face numbers of sequentially Cohen-Macaulay complexes and Betti numbers of componentwise linear ideals. Zbl 1381.05093
Adiprasito, Karim A.; Björner, Anders; Goodarzi, Afshin
2017
Using Brouwer’s fixed point theorem. Zbl 1382.91021
Björner, Anders; Matoušek, Jiří; Ziegler, Günter M.
2017
On the connectivity of manifold graphs. Zbl 1320.05141
Björner, Anders; Vorwerk, Kathrin
2015
Configuration spaces. Geometry, combinatorics and topology. Zbl 1253.00010
Björner, A.; Cohen, F.; De Concini, C.; Procesi, C.; Salvetti, M.
2012
A cell complex in number theory. Zbl 1230.05300
Björner, Anders
2011
Connectivity of chamber graphs of buildings and related complexes. Zbl 1213.05155
Björner, Anders; Vorwerk, Kathrin
2010
Note: Combinatorial Alexander duality – a short and elementary proof. Zbl 1179.57037
Björner, Anders; Tancer, Martin
2009
On sequentially Cohen-Macaulay complexes and posets. Zbl 1247.05270
Björner, Anders; Wachs, Michelle; Welker, Volkmar
2009
Note: random-to-front shuffles on trees. Zbl 1190.60059
Björner, Anders
2009
On the shape of Bruhat intervals. Zbl 1226.05268
Björner, Anders; Ekedahl, Torsten
2009
Using the Borsuk-Ulam theorem. Lectures on topological methods in combinatorics and geometry. Written in cooperation with Anders Björner and Günter M. Ziegler. 2nd corrected printing. Zbl 1234.05002
Matoušek, Jiří
2008
Random walks, arrangements, cell complexes, greedoids, and self-organizing libraries. Zbl 1158.60344
Björner, Anders
2008
Hyperplace arrangements and box splines. Zbl 1181.41011
Björner, A.; De Concini, C.; Procesi, Claudio
2008
A comparison theorem for $$f$$-vectors of simplicial polytopes. Zbl 1144.52009
Björner, Anders
2007
Rationality of the Möbius function of a composition poset. Zbl 1097.68106
Björner, Anders; Sagan, Bruce E.
2006
Combinatorics of Coxeter groups. Zbl 1110.05001
Björner, Anders; Brenti, Francesco
2005
Poset fiber theorems. Zbl 1086.55003
Björner, Anders; Wachs, Michelle L.; Welker, Volkmar
2005
Bier spheres and posets. Zbl 1079.52006
Björner, Anders; Paffenholz, Andreas; Sjöstrand, Jonas; Ziegler, Günter M.
2005
Segre and Rees products of posets, with ring-theoretic applications. Zbl 1062.05147
Björner, Anders; Welker, Volkmar
2005
Subspace arrangements defined by products of linear forms. Zbl 1111.13018
Björner, Anders; Peeva, Irena; Sidman, Jessica
2005
Chain polynomials of distributive lattices are 75% unimodal. Zbl 1064.05154
Björner, Anders; Farley, Jonathan David
2005
Geometrically constructed bases for homology of partition lattices of types $$A$$, $$B$$ and $$D$$. Zbl 1064.05151
Björner, Anders; Wachs, Michelle L.
2004
A note on blockers in posets. Zbl 1053.06002
Björner, Anders; Hultman, Axel
2004
Using the Borsuk-Ulam theorem. Lectures on topological methods in combinatorics and geometry. Written in cooperation with Anders Björner and Günter M. Ziegler. Zbl 1016.05001
Matoušek, Jiří
2003
Nerves, fibers and homotopy groups. Zbl 1030.55006
Björner, Anders
2003
Neighborhood complexes of stable Kneser graphs. Zbl 1047.05015
Björner, A.; de Longueville, M.
2003
Simplicial manifolds, bistellar flips and a 16-vertex triangulation of the Poincaré homology 3-sphere. Zbl 1101.57306
Björner, Anders; Lutz, Frank H.
2000
Face numbers of scarf complexes. Zbl 0964.52013
Björner, A.
2000
Oriented matroids. 2nd ed. Zbl 0944.52006
Björner, Anders; Las Vergnas, Michel; Sturmfels, Bernd; White, Neil; Ziegler, Günter
1999
Complexes of not $$i$$-connected graphs. Zbl 0936.57002
Babson, Eric; Björner, Anders; Linusson, Svante; Shareshian, John; Welker, Volkmar
1999
Complexes of directed graphs. Zbl 0951.05099
Björner, Anders; Welker, Volkmar
1999
The number of $$k$$-faces of a simple $$d$$-polytope. Zbl 0935.52010
Björner, A.; Linusson, S.
1999
New perspectives in algebraic combinatorics. Zbl 0927.00011
1999
A general homotopy complementation formula. Zbl 1061.06004
Björner, Anders
1998
The zeta function of a simplicial complex. Zbl 0932.57023
Björner, Anders; Sarkaria, Karanbir S.
1998
Shellable nonpure complexes and posets. II. Zbl 0886.05126
Björner, Anders; Wachs, Michelle L.
1997
Face numbers of polytopes and complexes. Zbl 0917.52008
Billera, Louis J.; Björner, Anders
1997
Subspace arrangements over finite fields: Cohomological and enumerative aspects. Zbl 0896.52021
Björner, Anders; Ekedahl, Torsten
1997
Note on a combinatorial application of Alexander duality. Zbl 0882.06001
Björner, Anders; Butler, Lynne M.; Matveev, Andrey O.
1997
On $$f$$-vectors and Betti numbers of multicomplexes. Zbl 0886.55004
Björner, Anders; Vrećica, Siniša
1997
Shellable nonpure complexes and posets. I. Zbl 0857.05102
Björner, Anders; Wachs, Michelle L.
1996
Subspace arrangements of type $$B_ n$$ and $$D_ n$$. Zbl 0864.57031
Björner, Anders; Sagan, Bruce E.
1996
Affine permutations of type $$A$$. Zbl 0854.05002
Björner, Anders; Brenti, Francesco
1996
Nonpure shellability, $$f$$-vectors, subspace arrangements and complexity. Zbl 0840.05001
Björner, Anders
1996
An improved tableau criterion for Bruhat order. Zbl 0884.05096
Björner, Anders; Brenti, Francesco
1996
Topological methods. Zbl 0851.52016
Björner, Anders
1995
The homology of “$$k$$-equal” manifolds and related partition lattices. Zbl 0845.57020
Björner, Anders; Welker, Volkmar
1995
Chessboard complexes and matching complexes. Zbl 0790.57014
Björner, A.; Lovász, László; Vrećica, S. T.; Živaljević, R. T.
1994
Subspace arrangements. Zbl 0844.52008
Björner, Anders
1994
Linear decision trees, subspace arrangements, and Möbius functions. Zbl 0811.05070
Björner, Anders; Lovász, László
1994
Extendable shellability for rank 3 matroid complexes. Zbl 0805.05014
Björner, Anders; Eriksson, Kimmo
1994
Partial unimodality for $$f$$-vectors of simplicial polytopes and spheres. Zbl 0815.52011
Björner, Anders
1994
Oriented matroids. Zbl 0773.52001
Björner, Anders; Las Vergnas, Michel; Sturmfels, Bernd; White, Neil; Ziegler, Günter M.
1993
The Möbius function of factor order. Zbl 0782.68093
Björner, Anders
1993
The mod $$p$$ rank of incidence matrices for connected uniform hypergraphs. Zbl 0780.05042
Björner, Anders; Karlander, Johan
1993
The homology and shellability of matroids and geometric lattices. Zbl 0772.05027
Björner, Anders
1992
Introduction to greedoids. Zbl 0772.05026
Björner, Anders; Ziegler, Günter M.
1992
Chip-firing games on directed graphs. Zbl 0805.90142
Björner, Anders; Lovász, László
1992
Combinatorial stratification of complex arrangements. Zbl 0754.52003
Björner, Anders; Ziegler, Günter M.
1992
Essential chains and homotopy type of posets. Zbl 0778.05089
Björner, Anders
1992
Rationality of the Möbius function of subword order. Zbl 0766.68070
Björner, Anders; Reutenauer, Christophe
1992
Communication complexity of two decision problems. Zbl 0769.68042
Björner, Anders; Karlander, Johan; Lindström, Bernt
1992
Chip-firing games on graphs. Zbl 0729.05048
Björner, Anders; Lovász, László; Shor, Peter W.
1991
Permutation statistics and linear extensions of posets. Zbl 0742.05084
Björner, Anders; Wachs, Michelle L.
1991
Broken circuit complexes: Factorizations and generalizations. Zbl 0753.05019
Björner, Anders; Ziegler, Günter M.
1991
Extended Euler-Poincaré relations for cell complexes. Zbl 0733.55002
Björner, Anders; Kalai, Gil
1991
Hyperplane arrangements with a lattice of regions. Zbl 0698.51010
Björner, Anders; Edelman, Paul H.; Ziegler, Günter M.
1990
The Möbius function of subword order. Zbl 0706.06007
Björner, Anders
1990
Betti numbers of Buchsbaum complexes. Zbl 0727.55011
Björner, Anders; Hibi, Takayuki
1990
q-hook length formulas for forests. Zbl 0697.06002
Björner, Anders; Wachs, Michelle L.
1989
On $$f$$-vectors and homology. Zbl 0747.52001
Björner, Anders; Kalai, Gil
1989
Generalized quotients in Coxeter groups. Zbl 0659.05007
Björner, Anders; Wachs, Michelle L.
1988
An extended Euler-Poincaré theorem. Zbl 0667.52008
Björner, Anders; Kalai, Gil
1988
The number of faces of balanced Cohen-Macaulay complexes and a generalized Macaulay theorem. Zbl 0651.05010
Björner, A.; Frankl, P.; Stanley, R.
1987
Pseudomodular lattices and continuous matroids. Zbl 0643.05023
Björner, A.; Lovász, László
1987
Continuous partition lattice. Zbl 0623.05010
Björner, Anders
1987
Homotopy properties of greedoids. Zbl 0642.05014
Björner, Anders; Korte, Bernhard; Lovász, László
1985
On matroids, groups and exchange languages. Zbl 0642.05012
Björner, Anders
1985
Combinatorics and topology. Zbl 0563.05050
Björner, Anders
1985
Posets, regular CW complexes and Bruhat order. Zbl 0538.06001
Björner, A.
1984
Some combinatorial and algebraic properties of Coxeter complexes and Tits buildings. Zbl 0546.06001
Björner, Anders
1984
Orderings of Coxeter groups. Zbl 0594.20029
Björner, Anders
1984
On lexicographically shellable posets. Zbl 0514.05009
Bjoerner, Anders; Wachs, Michelle
1983
A homotopy complementation formula for partially ordered sets. Zbl 0508.06005
Bjoerner, Anders; Walker, James W.
1983
Bruhat order of Coxeter groups and shellability. Zbl 0481.06002
Bjoerner, Anders; Wachs, Michelle
1982
On the homology of geometric lattices. Zbl 0484.06014
Bjoerner, Anders
1982
An introduction to Cohen-Macaulay partially ordered sets. Zbl 0491.06005
Bjoerner, A.; Garsia, A. M.; Stanley, R. P.
1982
Homotopy type of posets and lattice complementation. Zbl 0442.55011
Björner, Anders
1981
The unimodality conjecture for convex polytopes. Zbl 0458.52004
Björner, Anders
1981
On complements in lattices of finite length. Zbl 0468.06004
Björner, Anders
1981
Fixed points and complements in finite lattices. Zbl 0459.06004
Baclawski, Kenneth; Björner, Anders
1981
Order-reversing maps and unique fixed points in complete lattices. Zbl 0472.06003
Bjoerner, Anders
1981
Shellable and Cohen-Macaulay partially ordered sets. Zbl 0441.06002
Björner, Anders
1980
A note on fixed points in semimodular lattices. Zbl 0441.06007
Björner, Anders; Rival, Ivan
1980
The minimum number of faces of a simple polyhedron. Zbl 0451.52004
Björner, Anders
1980
Some matroid inequalities. Zbl 0446.05013
Björner, Anders
1980
Fixed points in partially ordered sets. Zbl 0417.06002
Baclawski, Kenneth; Björner, Anders
1979
all top 5

### Cited by 2,064 Authors

 45 Björner, Anders 35 Ziegler, Günter Matthias 32 Reiner, Victor 27 Brenti, Francesco 27 Welker, Volkmar 26 Ehrenborg, Richard 21 Athanasiadis, Christos A. 21 Wachs, Michelle Lynn 20 Živaljević, Rade T. 19 Sagan, Bruce Eli 18 Murai, Satoshi 18 Readdy, Margaret A. 17 Mühle, Henri 16 Hultman, Axel 16 Novik, Isabella 15 Hersh, Patricia 15 McConville, Thomas 15 Shareshian, John 14 Hibi, Takayuki 14 Pilaud, Vincent 14 Reading, Nathan 14 Roichman, Yuval 13 Klivans, Caroline J. 13 Sentinelli, Paolo 13 Woodroofe, Russ 13 Yassemi, Siamak 12 Herzog, Jürgen 12 Hohlweg, Christophe 12 Steinberg, Benjamin 12 Tenner, Bridget Eileen 11 Billera, Louis J. 11 Can, Mahir Bilen 11 Dyer, Matthew J. 11 Feichtner-Kozlov, Dimitry N. 11 Knauer, Kolja B. 11 Levit, Vadim E. 11 Marietti, Mario 11 Stanley, Richard Peter 11 Thomas, Hugh Ross 10 Adiprasito, Karim Alexander 10 Benedetti, Bruno 10 Lam, Thomas F. 10 Marberg, Eric 10 Naito, Satoshi 9 Adin, Ron M. 9 Delucchi, Emanuele 9 Duval, Art M. 9 Engström, Alexander 9 Falk, Michael J. 9 Hachimori, Masahiro 9 Margolis, Stuart W. 9 Meshulam, Roy 9 Minian, Elias Gabriel 9 Nevo, Eran 9 Sagaki, Daisuke 9 Santos, Francisco 9 Schröder, Bernd S. W. 9 Simion, Rodica E. 9 Sturmfels, Bernd 8 Barcelo, Hélène 8 Bergeron, Nantel 8 De Loera, Jesús A. 8 Felsner, Stefan 8 Gao, Yibo 8 Hivert, Florent 8 Holmsen, Andreas F. 8 Jones, Brant C. 8 Joswig, Michael 8 Klee, Steven 8 Kook, Woong 8 Levine, Lionel 8 Mandrescu, Eugen 8 Novelli, Jean-Christophe 8 Saliola, Franco V. 8 Thibon, Jean-Yves 8 Vrećica, Siniša T. 8 Walker, James W. 7 Babson, Eric K. 7 Biagioli, Riccardo 7 Blagojević, Pavle V. M. 7 Caselli, Fabrizio 7 Ceballos, Cesar 7 Chepoi, Victor D. 7 Cherniavsky, Yonah 7 Edelman, Paul H. 7 Forge, David 7 Gaetz, Christian 7 Gioan, Emeric 7 Goodarzi, Afshin 7 Green, Richard M. 7 Hetyei, Gábor 7 Huang, Jia 7 Incitti, Federico 7 Kalai, Gil 7 Kallipoliti, Myrto 7 Linusson, Svante 7 Lutz, Frank Hagen 7 Nadeau, Philippe 7 Sanyal, Raman 7 Schilling, Anne ...and 1,964 more Authors
all top 5

### Cited in 258 Serials

 202 Journal of Combinatorial Theory. Series A 138 European Journal of Combinatorics 135 Journal of Algebraic Combinatorics 124 Discrete Mathematics 119 Advances in Mathematics 115 Journal of Algebra 88 Discrete & Computational Geometry 86 Advances in Applied Mathematics 73 Transactions of the American Mathematical Society 55 Proceedings of the American Mathematical Society 53 Order 42 Annals of Combinatorics 41 Journal of Pure and Applied Algebra 37 Israel Journal of Mathematics 36 The Electronic Journal of Combinatorics 35 Séminaire Lotharingien de Combinatoire 34 Algebraic Combinatorics 33 Discrete Applied Mathematics 27 Mathematische Zeitschrift 25 Communications in Algebra 25 Theoretical Computer Science 22 Journal of Combinatorial Theory. Series B 20 International Journal of Algebra and Computation 19 Topology and its Applications 18 Combinatorica 16 Linear Algebra and its Applications 14 Inventiones Mathematicae 12 Memoirs of the American Mathematical Society 12 Graphs and Combinatorics 11 Algebra Universalis 11 Journal of the European Mathematical Society (JEMS) 11 Algebraic & Geometric Topology 9 Compositio Mathematica 9 Geometriae Dedicata 9 SIAM Journal on Discrete Mathematics 9 Representation Theory 8 Mathematische Annalen 8 Computational Geometry 8 Journal of Mathematical Sciences (New York) 8 Selecta Mathematica. New Series 8 Transformation Groups 8 Journal of Applied and Computational Topology 7 Journal of Mathematical Physics 7 Arkiv för Matematik 7 Duke Mathematical Journal 7 Journal of the American Mathematical Society 7 Bulletin of the American Mathematical Society. New Series 7 Journal of Commutative Algebra 6 Journal of Statistical Physics 6 Manuscripta Mathematica 6 Nagoya Mathematical Journal 6 Journal of Symbolic Computation 6 Automation and Remote Control 6 Geometry & Topology 6 Algebras and Representation Theory 6 Journal of Algebra and its Applications 5 Annales de l’Institut Fourier 5 Archiv der Mathematik 5 Journal für die Reine und Angewandte Mathematik 5 Michigan Mathematical Journal 5 Monatshefte für Mathematik 5 Semigroup Forum 5 Journal of Knot Theory and its Ramifications 5 Annals of Mathematics. Second Series 5 Advances in Geometry 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Groups, Geometry, and Dynamics 4 Information Processing Letters 4 Journal of Mathematical Psychology 4 Mathematika 4 Designs, Codes and Cryptography 4 Applicable Algebra in Engineering, Communication and Computing 4 Experimental Mathematics 4 Journal of Topology and Analysis 4 Journal of Combinatorial Algebra 3 Communications in Mathematical Physics 3 Indian Journal of Pure & Applied Mathematics 3 Rocky Mountain Journal of Mathematics 3 Beiträge zur Algebra und Geometrie 3 Acta Mathematica 3 The Annals of Probability 3 Functional Analysis and its Applications 3 Journal of Geometry 3 Journal of the Mathematical Society of Japan 3 Results in Mathematics 3 Mathematical Social Sciences 3 Chinese Annals of Mathematics. Series B 3 Acta Mathematica Hungarica 3 Indagationes Mathematicae. New Series 3 Algebra Colloquium 3 Journal of Lie Theory 3 Boletín de la Sociedad Matemática Mexicana. Third Series 3 Foundations of Computational Mathematics 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Journal of the Institute of Mathematics of Jussieu 3 Fixed Point Theory and Applications 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Proceedings of the Steklov Institute of Mathematics 3 Forum of Mathematics, Sigma 3 Research in the Mathematical Sciences ...and 158 more Serials
all top 5

### Cited in 54 Fields

 1,384 Combinatorics (05-XX) 546 Group theory and generalizations (20-XX) 529 Convex and discrete geometry (52-XX) 465 Order, lattices, ordered algebraic structures (06-XX) 261 Algebraic geometry (14-XX) 254 Commutative algebra (13-XX) 237 Algebraic topology (55-XX) 221 Manifolds and cell complexes (57-XX) 128 Computer science (68-XX) 112 Associative rings and algebras (16-XX) 106 Nonassociative rings and algebras (17-XX) 68 Number theory (11-XX) 55 Probability theory and stochastic processes (60-XX) 52 Category theory; homological algebra (18-XX) 50 Geometry (51-XX) 46 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 38 Linear and multilinear algebra; matrix theory (15-XX) 38 Operations research, mathematical programming (90-XX) 30 Dynamical systems and ergodic theory (37-XX) 28 Statistical mechanics, structure of matter (82-XX) 26 Several complex variables and analytic spaces (32-XX) 22 General topology (54-XX) 20 Topological groups, Lie groups (22-XX) 19 Global analysis, analysis on manifolds (58-XX) 18 Information and communication theory, circuits (94-XX) 17 Special functions (33-XX) 17 Differential geometry (53-XX) 14 Quantum theory (81-XX) 12 Mathematical logic and foundations (03-XX) 12 Numerical analysis (65-XX) 11 Biology and other natural sciences (92-XX) 10 $$K$$-theory (19-XX) 7 General algebraic systems (08-XX) 7 Operator theory (47-XX) 7 Statistics (62-XX) 7 Systems theory; control (93-XX) 6 Partial differential equations (35-XX) 6 Abstract harmonic analysis (43-XX) 5 Approximations and expansions (41-XX) 4 Functional analysis (46-XX) 4 Mechanics of particles and systems (70-XX) 3 General and overarching topics; collections (00-XX) 3 Real functions (26-XX) 2 History and biography (01-XX) 2 Functions of a complex variable (30-XX) 2 Relativity and gravitational theory (83-XX) 2 Mathematics education (97-XX) 1 Field theory and polynomials (12-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Fluid mechanics (76-XX)

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