zbMATH — the first resource for mathematics

Appel, Kenneth I.

Compute Distance To:
 Author ID: appel.kenneth-i Published as: Appel, K.; Appel, K. I.; Appel, Kenneth; Appel, Kenneth I. External Links: MGP · Wikidata · dblp · GND · MacTutor
 Documents Indexed: 29 Publications since 1959, including 2 Books
all top 5

Co-Authors

 10 single-authored 11 Haken, Wolfgang 4 Schupp, Paul E. 2 Djorup, F. M. 1 Abikoff, William 1 Koch, Jochim 1 Mayer, Jean 1 McLaughlin, Thomas G. 1 Parker, Ernest Tilden 1 Ratcliffe, John G.
all top 5

Serials

 5 Proceedings of the American Mathematical Society 3 Illinois Journal of Mathematics 2 Canadian Journal of Mathematics 2 Journal of Combinatorial Theory. Series B 2 The Journal of Symbolic Logic 2 Transactions of the American Mathematical Society 2 Contemporary Mathematics 1 Discrete Mathematics 1 The Mathematical Intelligencer 1 Inventiones Mathematicae 1 Mathematische Zeitschrift 1 Journal of Recreational Mathematics 1 Bulletin of the American Mathematical Society 1 Publications du Département de Mathématiques
all top 5

Fields

 11 Combinatorics (05-XX) 6 Group theory and generalizations (20-XX) 4 Manifolds and cell complexes (57-XX) 3 Mathematical logic and foundations (03-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Functions of a complex variable (30-XX) 1 Algebraic topology (55-XX) 1 Computer science (68-XX)

Citations contained in zbMATH

22 Publications have been cited 809 times in 539 Documents Cited by Year
Every planar map is four colorable. I: Discharging. Zbl 0387.05009
Appel, K.; Haken, W.
1977
Every planar map is four colorable. II: Reducibility. Zbl 0387.05010
Appel, K.; Haken, W.; Koch, J.
1977
Every planar map is four colorable. Zbl 0331.05106
Appel, K.; Haken, W.
1976
Every planar map is four colorable. Zbl 0681.05027
Appel, Kenneth; Haken, Wolfgang
1989
Artin groups and infinite Coxeter groups. Zbl 0536.20019
Appel, K. I.; Schupp, P. E.
1983
The existence of unavoidable sets of geographically good configurations. Zbl 0322.05141
Appel, K.; Haken, W.
1976
One-variable equations in free groups. Zbl 0159.30502
Appel, K. I.
1968
On Artin groups and Coxeter groups of large type. Zbl 0576.20021
Appel, Kenneth I.
1984
A proof of the four color theorem. Zbl 0339.05109
Appel, K.; Haken, W.
1976
On properties of regressive sets. Zbl 0192.05202
Appel, K. I.; McLaughlin, T. G.
1965
Every planar map is four colorable. Zbl 0357.05043
Appel, Kenneth; Haken, Wolfgang
1977
The four color proof suffices. Zbl 0578.05022
Appel, K.; Haken, W.
1986
The conjugacy problem for the group of any tame alternating knot is solvable. Zbl 0243.20036
Appel, K. I.; Schupp, P. E.
1972
On the equation $$z^ n_ 1 z^ n_ 2 \ldots z^ n_ k = y^ n$$ in a free semigroup. Zbl 0169.02703
Appel, K. I.; Djorup, F. M.
1968
On unsolvable groups of degree $$p= 4q+1$$, $$p$$ and $$q$$ prime. Zbl 0166.01903
Appel, K. I.; Parker, E. T.
1967
Horn sentences in identity theory. Zbl 0114.24502
Appel, K. I.
1959
Lifting surface groups to SL(2,$${\mathbb{C}})$$. Zbl 0531.30037
Abikoff, W.; Appel, K.; Schupp, P.
1983
An unavoidable set of configurations in planar trigangulations. Zbl 0407.05035
Appel, K.; Haken, W.
1979
On the conjugacy problem for knot groups. Zbl 0276.20033
Appel, Kenneth I.
1974
On two variable equations in free groups. Zbl 0172.02701
Appel, K. I.
1969
There exist two regressive sets whose intersection is not regressive. Zbl 0192.05203
Appel, K. I.
1967
On the group generated by a free semigroup. Zbl 0126.04701
Appel, K.; Djorup, F.
1964
Every planar map is four colorable. Zbl 0681.05027
Appel, Kenneth; Haken, Wolfgang
1989
The four color proof suffices. Zbl 0578.05022
Appel, K.; Haken, W.
1986
On Artin groups and Coxeter groups of large type. Zbl 0576.20021
Appel, Kenneth I.
1984
Artin groups and infinite Coxeter groups. Zbl 0536.20019
Appel, K. I.; Schupp, P. E.
1983
Lifting surface groups to SL(2,$${\mathbb{C}})$$. Zbl 0531.30037
Abikoff, W.; Appel, K.; Schupp, P.
1983
An unavoidable set of configurations in planar trigangulations. Zbl 0407.05035
Appel, K.; Haken, W.
1979
Every planar map is four colorable. I: Discharging. Zbl 0387.05009
Appel, K.; Haken, W.
1977
Every planar map is four colorable. II: Reducibility. Zbl 0387.05010
Appel, K.; Haken, W.; Koch, J.
1977
Every planar map is four colorable. Zbl 0357.05043
Appel, Kenneth; Haken, Wolfgang
1977
Every planar map is four colorable. Zbl 0331.05106
Appel, K.; Haken, W.
1976
The existence of unavoidable sets of geographically good configurations. Zbl 0322.05141
Appel, K.; Haken, W.
1976
A proof of the four color theorem. Zbl 0339.05109
Appel, K.; Haken, W.
1976
On the conjugacy problem for knot groups. Zbl 0276.20033
Appel, Kenneth I.
1974
The conjugacy problem for the group of any tame alternating knot is solvable. Zbl 0243.20036
Appel, K. I.; Schupp, P. E.
1972
On two variable equations in free groups. Zbl 0172.02701
Appel, K. I.
1969
One-variable equations in free groups. Zbl 0159.30502
Appel, K. I.
1968
On the equation $$z^ n_ 1 z^ n_ 2 \ldots z^ n_ k = y^ n$$ in a free semigroup. Zbl 0169.02703
Appel, K. I.; Djorup, F. M.
1968
On unsolvable groups of degree $$p= 4q+1$$, $$p$$ and $$q$$ prime. Zbl 0166.01903
Appel, K. I.; Parker, E. T.
1967
There exist two regressive sets whose intersection is not regressive. Zbl 0192.05203
Appel, K. I.
1967
On properties of regressive sets. Zbl 0192.05202
Appel, K. I.; McLaughlin, T. G.
1965
On the group generated by a free semigroup. Zbl 0126.04701
Appel, K.; Djorup, F.
1964
Horn sentences in identity theory. Zbl 0114.24502
Appel, K. I.
1959
all top 5

Cited by 793 Authors

 20 Jendrol’, Stanislav 17 Kawarabayashi, Ken-ichi 14 Wang, Wei-Fan 13 Borodin, Oleg Veniaminovich 13 Dvořák, Zdeněk 13 Raspaud, André 11 Czap, Július 11 Král’, Daniel 10 Montassier, Mickaël 10 Seymour, Paul D. 10 Thomas, Robin 9 Mohar, Bojan 8 Choi, Ilkyoo 8 Myasnikov, Alexei G. 8 Wang, Yingqian 7 Nakamoto, Atsuhiro 7 Postle, Luke 7 Sanders, Daniel P. 6 Albertson, Michael O. 6 Appel, Kenneth I. 6 Hutchinson, Joan P. 6 Lai, Hong-Jian 6 Pinlou, Alexandre 6 Sereni, Jean-Sébastien 6 Wang, Yiqiao 5 Bose, Prosenjit K. 5 Fabrici, Igor 5 Havet, Frédéric 5 Horňák, Mirko 5 Ivanova, Anna Olegovna 5 Kapovich, Ilya 5 Xu, Jinghan 5 Zhao, Yue 4 Bonamy, Marthe 4 Chudnovsky, Maria 4 Dobrynina, Irina Vasil’evna 4 Fan, Suohai 4 Gethner, Ellen 4 Haken, Wolfgang 4 Jaeger, François 4 Kostochka, Aleksandr Vasil’evich 4 Lidický, Bernard 4 Reed, Bruce Alan 4 Rees, Sarah 4 Robertson, Neil 4 Servatius, Herman 4 Soták, Roman 4 Valiska, Juraj 3 Chen, Ye 3 Cheng, Xiaohan 3 Díaz-Pernil, Daniel 3 Droms, Carl 3 Dross, François 3 Edwards, Katherine 3 Fradkin, Alexandra Ovetsky 3 Gibbons, Alan M. 3 Gravier, Sylvain 3 Gutiérrez-Naranjo, Miguel A. 3 Hansen, Pierre 3 Hebdige, Michael 3 Holt, Derek F. 3 Huang, Danjun 3 Kang, Ross J. 3 Kardoš, František 3 Kauffman, Louis Hirsch 3 Khuller, Samir 3 Kochol, Martin 3 Lévêque, Benjamin 3 Matiyasevich, Yuriĭ Vladimirovich 3 Matsumoto, Naoki 3 Mayer, Jean 3 Nešetřil, Jaroslav 3 Ochem, Pascal 3 Pride, Stephen J. 3 Ramamurthi, Radhika 3 Remeslennikov, Vladimir Nikanorovich 3 Roman’kov, Vitaly Anatol’evich 3 Schupp, Paul E. 3 Seki, Shinnosuke 3 Shpilrain, Vladimir 3 Song, Huimin 3 Song, Zixia 3 Sopena, Éric 3 Vetta, Adrian R. 3 Voigt, Margit 3 West, Douglas Brent 3 Wu, Jian-Liang 3 Yu, Gexin 3 Zhang, Cunquan 2 Ackerman, Eyal 2 Angelini, Patrizio 2 Araújo, Júlio César Silva 2 Axenovich, Maria A. 2 Bachmaier, Christian 2 Bezverkhniĭ, Vladimir Nikolaevich 2 Boutin, Debra L. 2 Brandenburg, Franz-Josef 2 Bu, Yuehua 2 Chandran, L. Sunil 2 Chang, Gerard Jennhwa ...and 693 more Authors
all top 5

Cited in 140 Serials

 72 Discrete Mathematics 44 Journal of Combinatorial Theory. Series B 28 Discrete Applied Mathematics 27 European Journal of Combinatorics 22 Theoretical Computer Science 21 Journal of Graph Theory 13 Transactions of the American Mathematical Society 13 Discussiones Mathematicae. Graph Theory 12 Journal of Combinatorial Optimization 11 Journal of Algebra 8 Proceedings of the American Mathematical Society 8 Graphs and Combinatorics 8 The Electronic Journal of Combinatorics 6 Information Processing Letters 6 The Mathematical Intelligencer 6 Combinatorica 6 Discrete & Computational Geometry 6 SIAM Journal on Discrete Mathematics 5 Applied Mathematics and Computation 5 Journal of Soviet Mathematics 5 Algorithmica 5 Computational Geometry 5 Chebyshevskiĭ Sbornik 4 Advances in Mathematics 3 Artificial Intelligence 3 Computers & Mathematics with Applications 3 International Journal of Theoretical Physics 3 Israel Journal of Mathematics 3 Algebra and Logic 3 Journal of Combinatorial Theory. Series A 3 Journal of Computer and System Sciences 3 Journal of Pure and Applied Algebra 3 Mathematische Zeitschrift 3 Information and Computation 3 Bulletin of the American Mathematical Society. New Series 3 Journal of Mathematical Sciences (New York) 3 Electronic Research Announcements of the American Mathematical Society 3 Bulletin of the American Mathematical Society 2 Mathematical Notes 2 Archiv der Mathematik 2 Geometriae Dedicata 2 Illinois Journal of Mathematics 2 Inventiones Mathematicae 2 The Journal of Symbolic Logic 2 Siberian Mathematical Journal 2 Synthese 2 Annals of Pure and Applied Logic 2 European Journal of Operational Research 2 Linear Algebra and its Applications 2 Pattern Recognition 2 Journal of Knot Theory and its Ramifications 2 Theory of Computing Systems 2 Soft Computing 2 Foundations of Science 2 Algebraic & Geometric Topology 2 Foundations of Computational Mathematics 2 Journal of the Australian Mathematical Society 2 Groups, Complexity, Cryptology 2 Computer Science Review 1 Communications in Algebra 1 Computers and Fluids 1 Communications in Mathematical Physics 1 International Journal of General Systems 1 Journal of Statistical Physics 1 Linear and Multilinear Algebra 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Periodica Mathematica Hungarica 1 Physica A 1 Physics Letters. A 1 Journal of Geometry and Physics 1 Beiträge zur Algebra und Geometrie 1 Algebra Universalis 1 Annales de l’Institut Fourier 1 Boletim da Sociedade Brasileira de Matemática 1 Bulletin of the London Mathematical Society 1 Information Sciences 1 Journal of the London Mathematical Society. Second Series 1 Journal of Mathematical Economics 1 Kodai Mathematical Journal 1 Mathematische Annalen 1 Mathematica Slovaca 1 Mathematika 1 Memoirs of the American Mathematical Society 1 Networks 1 Topology and its Applications 1 Cybernetics 1 Advances in Applied Mathematics 1 SIAM Journal on Algebraic and Discrete Methods 1 Operations Research Letters 1 Computer Aided Geometric Design 1 Social Choice and Welfare 1 Journal of Symbolic Computation 1 Journal of Automated Reasoning 1 International Journal of Algebra and Computation 1 Siberian Advances in Mathematics 1 Games and Economic Behavior 1 Historia Mathematica 1 Distributed Computing 1 Mathematical Programming. Series A. Series B 1 Applicable Algebra in Engineering, Communication and Computing ...and 40 more Serials
all top 5

Cited in 43 Fields

 369 Combinatorics (05-XX) 106 Computer science (68-XX) 72 Group theory and generalizations (20-XX) 28 Manifolds and cell complexes (57-XX) 27 Mathematical logic and foundations (03-XX) 14 Operations research, mathematical programming (90-XX) 13 General and overarching topics; collections (00-XX) 12 Convex and discrete geometry (52-XX) 7 Numerical analysis (65-XX) 7 Quantum theory (81-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 History and biography (01-XX) 5 Number theory (11-XX) 5 Information and communication theory, circuits (94-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Mechanics of particles and systems (70-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Category theory; homological algebra (18-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Partial differential equations (35-XX) 3 Functional analysis (46-XX) 3 Geometry (51-XX) 3 Probability theory and stochastic processes (60-XX) 3 Statistics (62-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Algebraic geometry (14-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Functions of a complex variable (30-XX) 2 Algebraic topology (55-XX) 2 Fluid mechanics (76-XX) 2 Biology and other natural sciences (92-XX) 2 Mathematics education (97-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Abstract harmonic analysis (43-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX)

Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.