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## Crapo, Henry H.

Compute Distance To:
 Author ID: crapo.henry-h Published as: Crapo, H.; Crapo, H. H.; Crapo, Henry; Crapo, Henry H.
 Documents Indexed: 61 Publications since 1965, including 4 Books Biographic References: 1 Publication
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#### Co-Authors

 35 single-authored 5 Rota, Gian-Carlo 5 Schmitt, William R. 2 Cheung, Alan L. C. 2 Le Conte de Poly-Barbut, Claude 2 Penne, Rudi 2 Whiteley, Walter John 1 Abbott, James C. 1 Birkhoff, Garrett 1 Blackburn, John E. 1 Bolker, Ethan D. 1 Grätzer, George 1 Higgs, Denis A. 1 Holland, Samuel Shaheen jun. 1 Richter-Gebert, Jürgen 1 Rosenstiehl, Pierre 1 Roulet, Geoffrey 1 Ryan, Juliette 1 Senato, Domenico 1 Senechal, Marjorie Wikler
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#### Serials

 5 Advances in Mathematics 5 Topologie Structurale 3 Journal of Combinatorial Theory 2 Journal of Combinatorial Theory. Series A 2 Journal of Pure and Applied Algebra 2 Rendiconti del Seminario Matematico della Università di Padova 2 European Journal of Combinatorics 1 Discrete Mathematics 1 Mathematics of Computation 1 The Mathematical Intelligencer 1 Beiträge zur Algebra und Geometrie 1 Applied Mathematics Notes 1 Archiv der Mathematik 1 Journal of Combinatorial Theory. Series B 1 Studies in Applied Mathematics 1 Transactions of the American Mathematical Society 1 Advances in Applied Mathematics 1 Journal of Symbolic Computation 1 Mathematical and Computer Modelling 1 Aequationes Mathematicae 1 Proceedings of the Royal Irish Academy. Section A, Mathematical and Physical Sciences 1 SIAM Journal on Applied Mathematics 1 Journal of Algebraic Combinatorics 1 Journal of Mathematics and Mechanics 1 Journal of Research of the National Bureau of Standards 1 Annals of the New York Academy of Sciences
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#### Fields

 25 Combinatorics (05-XX) 12 Order, lattices, ordered algebraic structures (06-XX) 12 Geometry (51-XX) 6 Convex and discrete geometry (52-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Associative rings and algebras (16-XX) 4 Computer science (68-XX) 4 Mechanics of particles and systems (70-XX) 3 History and biography (01-XX) 3 Nonassociative rings and algebras (17-XX) 2 General and overarching topics; collections (00-XX) 2 Algebraic geometry (14-XX) 2 Mechanics of deformable solids (74-XX) 1 Mathematical logic and foundations (03-XX) 1 General algebraic systems (08-XX) 1 Commutative algebra (13-XX) 1 Group theory and generalizations (20-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH

51 Publications have been cited 868 times in 650 Documents Cited by Year
On the foundations of combinatorial theory: Combinatorial geometries. Preliminary edition. Zbl 0216.02101
Crapo, H. H.; Rota, G.-C.
1970
The Tutte polynomial. Zbl 0197.50202
Crapo, H. H.
1969
A higher invariant for matroids. Zbl 0168.26203
Crapo, H. H.
1967
On the foundations of combinatorial theory. II: Combinatorial geometries. Zbl 0231.05024
Crapo, Henry H.; Rota, Gian-Carlo
1970
Single-element extensions of matroids. Zbl 0141.21701
Crapo, Henry H.
1965
The Möbius function of a lattice. Zbl 0146.01601
Crapo, H. H.
1966
Möbius inversion in lattices. Zbl 0208.29303
Crapo, H. H.
1969
A catalogue of combinatorial geometries. Zbl 0274.05020
Blackburn, John E.; Crapo, Henry H.; Higgs, Denis A.
1973
Plane self stresses and projected polyhedra. I: The basic pattern. Zbl 0793.52006
Crapo, Henry; Whiteley, Walter
1993
Erecting geometries. Zbl 0253.05002
Crapo, Henry H.
1970
Structural rigidity. Zbl 0534.51020
Crapo, Henry
1979
A free subalgebra of the algebra of matroids. Zbl 1071.05025
Crapo, Henry; Schmitt, William
2005
Spaces of stresses, projections and parallel drawings for spherical polyhedra. Zbl 0819.52018
Crapo, Henry; Whiteley, Walter
1994
A unique factorization theorem for matroids. Zbl 1076.05020
Crapo, Henry; Schmitt, William
2005
Erecting geometries. Zbl 0268.05015
Crapo, Henry H.
1970
Structure theory for geometric lattices. Zbl 0149.25901
Crapo, H. H.
1967
Chirality and the isotopy classification of skew lines in projective 3- space. Zbl 0802.51024
Crapo, Henry; Penne, Rudi
1994
Orthogonal representations of combinatorial geometries. Zbl 0233.05014
Crapo, H.
1971
The free product of matroids. Zbl 1071.05024
Crapo, Henry; Schmitt, William
2005
On lacets and their manifolds. Zbl 0985.57008
Crapo, Henry; Rosenstiehl, Pierre
2001
Bracing rectangular frameworks. I. Zbl 0416.70009
Bolker, Ethan D.; Crapo, Henry
1979
Spatial realizations of linear scenes. Zbl 0612.51004
Crapo, Henry; Ryan, Juliette
1986
Selectors: a theory of formal languages, semimodular lattices, and branching and shelling processes. Zbl 0583.68037
Crapo, Henry
1984
The joining of exchange geometries. Zbl 0162.03603
Crapo, H. H.
1968
Automatic proving of geometric theorems. Zbl 1114.68532
Crapo, H.; Richter-Gebert, J.
1995
Invariant-theoretic methods in scene analysis and structural mechanics. Zbl 0743.13003
Crapo, Henry
1991
The combinatorial theory of structures. Zbl 0593.51013
Crapo, Henry
1985
Simplicial geometries. Zbl 0236.05017
Crapo, Henry H.; Rota, Gian-Carlo
1971
On relative position in extensions of combinatorial geometries. Zbl 0595.05018
Cheung, Alan; Crapo, Henry
1988
Unities and negation: On the representation of finite lattices. Zbl 0498.06002
Crapo, Henry
1982
A combinatorial perspective on algebraic geometry. Zbl 0334.14001
Cheung, Alan; Crapo, Henry
1976
The resolving bracket. Zbl 0927.68104
Crapo, H.; Rota, G.-C.
1995
Concurrence geometries. Zbl 0593.51008
Crapo, Henry
1984
Ordered sets: retracts and connections. Zbl 0474.06004
Crapo, Henry
1982
Trends in lattice theory. Zbl 0198.33603
Abbott, J. C.; Birkhoff, G.; Holland, S. S. jun.; Crapo, H.; Rota, G.-C.; Grätzer, G.
1970
Permanents by Möbius inversion. Zbl 0162.03201
Crapo, H. H.
1968
Primitive elements in the matroid-minor Hopf algebra. Zbl 1207.05025
Crapo, Henry; Schmitt, William
2008
Chromatic polynomials for a join of graphs. Zbl 0235.05103
Crapo, H. H.
1970
The Whitney algebra of a matroid. Zbl 0964.05018
Crapo, Henry; Schmitt, William
2000
A combinatorial perspective on algebraic geometry. Zbl 0358.05018
Crapo, Henry
1976
Structural topology, or the fine art of rediscovery. Zbl 0915.01026
Crapo, Henry
1997
Orthogonality. Zbl 0587.05019
Crapo, Henry
1986
The tetrahedral-octahedral truss. Zbl 0533.73069
Crapo, Henry
1982
Möbius algebras. Conference proceedings. University of Waterloo, April, 1971. 2nd printing. Zbl 0306.00004
Crapo, Henry (ed.); Roulet, Geoffrey (ed.)
1975
A general graphical procedure for finding motion centers of planar mechanisms. Zbl 1119.70004
Penne, Rudi; Crapo, Henry
2007
Unities and negation. Zbl 0903.06003
Crapo, Henry; Le Conte de Poly-Barbut, Claude
1998
Projective configurations: their invariants and homology. Zbl 1280.52020
Crapo, Henry
1995
On the Anick-Rota resolution of the bracket ring. Zbl 0784.05064
Crapo, Henry
1993
Examples and basic concepts. Zbl 0587.05015
Crapo, Henry
1986
Mathematical questions concerning zonohedral space-filling. Zbl 0534.51018
Crapo, Henry
1979
Numerical invariants of geometries and graphs. Zbl 0339.50007
Crapo, Henry
1971
Primitive elements in the matroid-minor Hopf algebra. Zbl 1207.05025
Crapo, Henry; Schmitt, William
2008
A general graphical procedure for finding motion centers of planar mechanisms. Zbl 1119.70004
Penne, Rudi; Crapo, Henry
2007
A free subalgebra of the algebra of matroids. Zbl 1071.05025
Crapo, Henry; Schmitt, William
2005
A unique factorization theorem for matroids. Zbl 1076.05020
Crapo, Henry; Schmitt, William
2005
The free product of matroids. Zbl 1071.05024
Crapo, Henry; Schmitt, William
2005
On lacets and their manifolds. Zbl 0985.57008
Crapo, Henry; Rosenstiehl, Pierre
2001
The Whitney algebra of a matroid. Zbl 0964.05018
Crapo, Henry; Schmitt, William
2000
Unities and negation. Zbl 0903.06003
Crapo, Henry; Le Conte de Poly-Barbut, Claude
1998
Structural topology, or the fine art of rediscovery. Zbl 0915.01026
Crapo, Henry
1997
Automatic proving of geometric theorems. Zbl 1114.68532
Crapo, H.; Richter-Gebert, J.
1995
The resolving bracket. Zbl 0927.68104
Crapo, H.; Rota, G.-C.
1995
Projective configurations: their invariants and homology. Zbl 1280.52020
Crapo, Henry
1995
Spaces of stresses, projections and parallel drawings for spherical polyhedra. Zbl 0819.52018
Crapo, Henry; Whiteley, Walter
1994
Chirality and the isotopy classification of skew lines in projective 3- space. Zbl 0802.51024
Crapo, Henry; Penne, Rudi
1994
Plane self stresses and projected polyhedra. I: The basic pattern. Zbl 0793.52006
Crapo, Henry; Whiteley, Walter
1993
On the Anick-Rota resolution of the bracket ring. Zbl 0784.05064
Crapo, Henry
1993
Invariant-theoretic methods in scene analysis and structural mechanics. Zbl 0743.13003
Crapo, Henry
1991
On relative position in extensions of combinatorial geometries. Zbl 0595.05018
Cheung, Alan; Crapo, Henry
1988
Spatial realizations of linear scenes. Zbl 0612.51004
Crapo, Henry; Ryan, Juliette
1986
Orthogonality. Zbl 0587.05019
Crapo, Henry
1986
Examples and basic concepts. Zbl 0587.05015
Crapo, Henry
1986
The combinatorial theory of structures. Zbl 0593.51013
Crapo, Henry
1985
Selectors: a theory of formal languages, semimodular lattices, and branching and shelling processes. Zbl 0583.68037
Crapo, Henry
1984
Concurrence geometries. Zbl 0593.51008
Crapo, Henry
1984
Unities and negation: On the representation of finite lattices. Zbl 0498.06002
Crapo, Henry
1982
Ordered sets: retracts and connections. Zbl 0474.06004
Crapo, Henry
1982
The tetrahedral-octahedral truss. Zbl 0533.73069
Crapo, Henry
1982
Structural rigidity. Zbl 0534.51020
Crapo, Henry
1979
Bracing rectangular frameworks. I. Zbl 0416.70009
Bolker, Ethan D.; Crapo, Henry
1979
Mathematical questions concerning zonohedral space-filling. Zbl 0534.51018
Crapo, Henry
1979
A combinatorial perspective on algebraic geometry. Zbl 0334.14001
Cheung, Alan; Crapo, Henry
1976
A combinatorial perspective on algebraic geometry. Zbl 0358.05018
Crapo, Henry
1976
Möbius algebras. Conference proceedings. University of Waterloo, April, 1971. 2nd printing. Zbl 0306.00004
Crapo, Henry (ed.); Roulet, Geoffrey (ed.)
1975
A catalogue of combinatorial geometries. Zbl 0274.05020
Blackburn, John E.; Crapo, Henry H.; Higgs, Denis A.
1973
Orthogonal representations of combinatorial geometries. Zbl 0233.05014
Crapo, H.
1971
Simplicial geometries. Zbl 0236.05017
Crapo, Henry H.; Rota, Gian-Carlo
1971
Numerical invariants of geometries and graphs. Zbl 0339.50007
Crapo, Henry
1971
On the foundations of combinatorial theory: Combinatorial geometries. Preliminary edition. Zbl 0216.02101
Crapo, H. H.; Rota, G.-C.
1970
On the foundations of combinatorial theory. II: Combinatorial geometries. Zbl 0231.05024
Crapo, Henry H.; Rota, Gian-Carlo
1970
Erecting geometries. Zbl 0253.05002
Crapo, Henry H.
1970
Erecting geometries. Zbl 0268.05015
Crapo, Henry H.
1970
Trends in lattice theory. Zbl 0198.33603
Abbott, J. C.; Birkhoff, G.; Holland, S. S. jun.; Crapo, H.; Rota, G.-C.; Grätzer, G.
1970
Chromatic polynomials for a join of graphs. Zbl 0235.05103
Crapo, H. H.
1970
The Tutte polynomial. Zbl 0197.50202
Crapo, H. H.
1969
Möbius inversion in lattices. Zbl 0208.29303
Crapo, H. H.
1969
The joining of exchange geometries. Zbl 0162.03603
Crapo, H. H.
1968
Permanents by Möbius inversion. Zbl 0162.03201
Crapo, H. H.
1968
A higher invariant for matroids. Zbl 0168.26203
Crapo, H. H.
1967
Structure theory for geometric lattices. Zbl 0149.25901
Crapo, H. H.
1967
The Möbius function of a lattice. Zbl 0146.01601
Crapo, H. H.
1966
Single-element extensions of matroids. Zbl 0141.21701
Crapo, Henry H.
1965
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#### Cited by 575 Authors

 29 Kung, Joseph P. S. 25 Oxley, James G. 17 Crapo, Henry H. 13 Whiteley, Walter John 12 Bonin, Joseph E. 11 Las Vergnas, Michel 11 Zaslavsky, Thomas 9 Björner, Anders 9 Cordovil, Raul 9 Lindstrom, Bernt 9 White, Neil L. 9 Whittle, Geoffrey P. 8 Lovász, László 7 Baclawski, Kenneth 7 Brylawski, Thomas H. 7 Brylawski, Tom 7 Dowling, Thomas A. 7 Greene, Curtis 7 Welsh, Dominic J. A. 7 Ziegler, Günter Matthias 6 Bixby, Robert E. 6 Jaeger, François 6 Nguyen, Hien Quang 6 Schmitt, William R. 5 Britz, Thomas 5 Chen, Beifang 5 Graves, William H. 5 Penne, Rudi 5 Recski, András 5 Stanley, Richard Peter 5 Tay, Tiongseng 5 Terao, Hiroaki 5 Traldi, Lorenzo 5 Vertigan, Dirk 4 Aigner, Martin 4 Ardila Mantilla, Federico 4 Bachem, Achim 4 de Mier, Anna 4 Delucchi, Emanuele 4 Kahn, Jeff D. 4 Kern, Walter 4 Korte, Bernhard 4 Lemos, Manoel José Machado Soares 4 Moci, Luca 4 Reiner, Victor 4 Richter-Gebert, Jürgen 4 Sagan, Bruce Eli 4 Shiromoto, Keisuke 4 Tanasă, Adrian 4 Yan, Catherine Huafei 3 Brini, Andrea 3 Brualdi, Richard Anthony 3 Denham, Graham 3 Duquenne, Vincent 3 Faigle, Ulrich 3 Falk, Michael J. 3 Farr, Graham E. 3 Geelen, Jim 3 Gioan, Emeric 3 Groh, Hansjoachim 3 Guedes de Oliveira, António 3 Halsey, Mark D. 3 Harbourne, Brian 3 Hochstättler, Winfried 3 Kook, Woong 3 Krajewski, Thomas 3 Li, Hongbo 3 Mainetti, Matteo 3 Miles, Richard B. 3 Paolini, Gianluca 3 Rota, Gian-Carlo 3 Servatius, Brigitte 3 Stonesifer, J. Randolph 3 Turaev, Vladimir G. 3 Walker, James W. 3 Wanka, Alfred 3 Wilson, Richard Michael 3 Young, H. Peyton 3 Yuzvinsky, Sergey 2 Alfter, M. 2 Apel, Susanne 2 Arrowsmith, David K. 2 Aurenhammer, Franz 2 Bernardi, Olivier 2 Billera, Louis J. 2 Blass, Andreas Raphael 2 Bouchet, André 2 Brown, Kenneth Stephen 2 Bruno, John L. 2 Cheung, Alan L. C. 2 Connelly, Robert 2 Derksen, Harm 2 Dinolt, George W. 2 Duke, Roger 2 Edelman, Paul H. 2 Essam, John W. 2 Fife, Tara 2 Fink, Alex 2 Forge, David 2 Garber, David ...and 475 more Authors
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#### Cited in 137 Serials

 86 Discrete Mathematics 66 Journal of Combinatorial Theory. Series B 66 European Journal of Combinatorics 48 Journal of Combinatorial Theory. Series A 28 Transactions of the American Mathematical Society 26 Advances in Mathematics 25 Advances in Applied Mathematics 15 Discrete & Computational Geometry 14 Discrete Applied Mathematics 14 Journal of Algebraic Combinatorics 9 Journal of Algebra 9 Proceedings of the American Mathematical Society 9 Annals of Combinatorics 8 Algebra Universalis 8 Combinatorica 7 Journal of Pure and Applied Algebra 7 Linear Algebra and its Applications 6 Studies in Applied Mathematics 6 Journal of Mathematical Sciences (New York) 5 Mathematical Proceedings of the Cambridge Philosophical Society 5 Geometriae Dedicata 5 Journal of Symbolic Computation 5 Aequationes Mathematicae 4 Theoretical Computer Science 4 SIAM Journal on Algebraic and Discrete Methods 4 Bulletin of the American Mathematical Society 3 Bulletin of the Australian Mathematical Society 3 Journal of Geometry 3 Journal of Number Theory 3 Mathematische Zeitschrift 3 Monatshefte für Mathematik 3 Networks 3 Designs, Codes and Cryptography 3 Bulletin of the American Mathematical Society. New Series 3 Combinatorics, Probability and Computing 3 Mathematics in Computer Science 2 Moscow University Mathematics Bulletin 2 Mathematics of Computation 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Archiv der Mathematik 2 Duke Mathematical Journal 2 Information Sciences 2 Inventiones Mathematicae 2 Journal of Graph Theory 2 Manuscripta Mathematica 2 Rendiconti del Seminario Matematico della Università di Padova 2 Topology and its Applications 2 Mathematical Social Sciences 2 Graphs and Combinatorics 2 Journal of Intelligent & Robotic Systems 2 Computational Geometry 2 Journal of Knot Theory and its Ramifications 2 Communications in Contemporary Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Open Mathematics 2 Algebraic Combinatorics 1 Acta Mechanica 1 Biological Cybernetics 1 Communications in Algebra 1 Computers & Mathematics with Applications 1 Information Processing Letters 1 Israel Journal of Mathematics 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Linear and Multilinear Algebra 1 Periodica Mathematica Hungarica 1 Arkiv för Matematik 1 The Mathematical Intelligencer 1 Annales de l’Institut Fourier 1 The Annals of Probability 1 Automatica 1 Cahiers de Topologie et Géométrie Différentielle Catégoriques 1 Collectanea Mathematica 1 Compositio Mathematica 1 Czechoslovak Mathematical Journal 1 Functional Analysis and its Applications 1 International Journal of Mathematics and Mathematical Sciences 1 International Journal of Circuit Theory and Applications 1 International Journal of Game Theory 1 Journal of Computer and System Sciences 1 Journal of Multivariate Analysis 1 Journal of Optimization Theory and Applications 1 Journal of Soviet Mathematics 1 The Journal of Symbolic Logic 1 Mathematische Annalen 1 Mathematical Programming 1 Mathematika 1 Meccanica 1 Notre Dame Journal of Formal Logic 1 Proceedings of the Japan Academy. Series A 1 Quaestiones Mathematicae 1 Results in Mathematics 1 Semigroup Forum 1 Studia Logica 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 Cybernetics 1 Journal of Information & Optimization Sciences 1 Ergodic Theory and Dynamical Systems 1 Bulletin of the Korean Mathematical Society 1 Acta Applicandae Mathematicae ...and 37 more Serials
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#### Cited in 48 Fields

 468 Combinatorics (05-XX) 111 Convex and discrete geometry (52-XX) 90 Order, lattices, ordered algebraic structures (06-XX) 73 Geometry (51-XX) 33 Linear and multilinear algebra; matrix theory (15-XX) 32 Computer science (68-XX) 28 Algebraic geometry (14-XX) 26 Group theory and generalizations (20-XX) 22 Algebraic topology (55-XX) 22 Manifolds and cell complexes (57-XX) 22 Information and communication theory, circuits (94-XX) 18 Mathematical logic and foundations (03-XX) 18 Commutative algebra (13-XX) 18 Associative rings and algebras (16-XX) 15 Category theory; homological algebra (18-XX) 14 Number theory (11-XX) 14 Mechanics of particles and systems (70-XX) 13 Several complex variables and analytic spaces (32-XX) 11 Operations research, mathematical programming (90-XX) 9 Mechanics of deformable solids (74-XX) 8 History and biography (01-XX) 7 General algebraic systems (08-XX) 7 General topology (54-XX) 6 Field theory and polynomials (12-XX) 6 Nonassociative rings and algebras (17-XX) 6 Probability theory and stochastic processes (60-XX) 6 Numerical analysis (65-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Special functions (33-XX) 5 Quantum theory (81-XX) 4 Topological groups, Lie groups (22-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 General and overarching topics; collections (00-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Differential geometry (53-XX) 3 Statistics (62-XX) 2 Measure and integration (28-XX) 2 Relativity and gravitational theory (83-XX) 1 $$K$$-theory (19-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Optics, electromagnetic theory (78-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX)