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Abbott, Harvey Leslie

Author ID: abbott.h-l Recent zbMATH articles by "Abbott, Harvey Leslie"
Published as: Abbott, H. L.; Abbott, Harvey; Abbott, h. L.
External Links: MGP · dblp
Documents Indexed: 88 Publications since 1964
Co-Authors: 20 Co-Authors with 48 Joint Publications
863 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

63 Publications have been cited 331 times in 257 Documents Cited by Year
On small faces in 4-critical planar graphs. Zbl 0755.05062
Abbott, H. L.; Zhou, B.
43
1991
Intersection theorems for systems of sets. Zbl 0247.05004
Abbott, H. L.; Hanson, D.; Sauer, N.
31
1972
A problem of Schur and its generalizations. Zbl 0207.54802
Abbott, H. L.; Hanson, D.
19
1972
On a combinatorial problem of Erdős. Zbl 0192.33203
Abbott, H. L.; Hanson, D.
13
1969
On the construction of snake in the box codes. Zbl 0776.05062
Abbott, H. L.; Katchalski, M.
11
1991
The star chromatic number of a graph. Zbl 0780.05019
Abbott, H. L.; Zhou, B.
11
1993
On the snake in the box problem. Zbl 0662.05034
Abbott, H. L.; Katchalski, M.
10
1988
Sum-free sets of integers. Zbl 0151.03701
Abbott, H. L.; Moser, L.
10
1966
On a combinatorial problem of Erdős and Hajnal. Zbl 0131.01302
Abbott, H. L.; Moser, L.
9
1964
Some results in combinatorial geometry. Zbl 0298.05014
Abbott, H. L.
9
1974
A note on Ramsey’s theorem. Zbl 0242.05123
Abbott, H. L.
8
1972
Lower bounds for some Ramsey numbers. Zbl 0242.05124
Abbott, H. L.
8
1972
The existence problem for colour critical linear hypergraphs. Zbl 0426.05026
Abbott, H. L.; Liu, A. C.
7
1978
Some remarks on a combinatorial theorem of Erdős and Rado. Zbl 0141.00802
Abbott, H. L.
6
1966
On the number of times an integer occurs as a binomial coefficient. Zbl 0276.05005
Abbott, H. L.; Erdős, Paul; Hanson, D.
6
1974
On finite Delta-systems. II. Zbl 0354.05004
Abbott, H. L.; Hanson, D.
6
1977
A Turan type problem for interval graphs. Zbl 0391.05033
Abbott, Harvey; Katchalski, Meir
6
1979
On sum-free sequences. Zbl 0619.10055
Abbott, H. L.
5
1987
Sum-free sets of integers. Zbl 0369.10034
Abbott, H. L.; Wang, E. T. H.
5
1977
A lattice path problem. Zbl 0416.05009
Abbott, H. L.; Hanson, D.
5
1978
Extremal problems on non-averaging and non-dividing sets. Zbl 0461.10046
Abbott, H. L.
5
1980
On property B(s). II. Zbl 0489.05044
Abbott, H. L.; Liu, A. C.
4
1981
On the additive completion of sets of integers. Zbl 0513.10050
Abbott, H. L.
4
1983
Hamiltonian circuits and paths on the n-cube. Zbl 0148.17904
Abbott, H. L.
4
1966
Quasiperfect numbers. Zbl 0227.10009
Abbott, H. L.; Aull, Charles E.; Brown, Ezra; Suryanarayana, D.
4
1973
An application of Ramsay’s theorem to a problem of Erdős and Hajnal. Zbl 0237.05001
Abbott, H. L.
4
1965
On finite \(\Delta\)-systems. Zbl 0291.05002
Abbott, H. L.; Hanson, D.
4
1974
An extremal problem in graph theory. II. Zbl 0443.05053
Abbott, H. L.; Katchalski, M.; Liu, A. C.
4
1980
On property B of families of sets. Zbl 0459.05008
Abbott, H. L.; Liu, A. C.
4
1980
Sparse color-critical graphs and hypergraphs with no short cycles. Zbl 0805.05059
Abbott, H. L.; Zhou, B.; Hare, D. R.
4
1994
Snakes and pseudo-snakes in powers of complete graphs. Zbl 0634.05037
Abbott, H. L.; Katchalski, M.
3
1988
On non-averaging sets of integers. Zbl 0514.10042
Abbott, H. L.
3
1982
Remark on a combinatorial theorem of Erdős and Rado. Zbl 0209.31603
Abbott, H. L.; Gardner, B.
3
1969
Lower bounds for some Ramsey numbers. Zbl 0285.05008
Abbott, H. L.; Williams, E. R.
3
1974
Snakes in powers of complete graphs. Zbl 0349.05116
Abbott, H. L.; Dierker, P. F.
3
1977
On the Erdős-Straus non-averaging set problem. Zbl 0607.10039
Abbott, H. L.
3
1986
Sparse colour-critical hypergraphs. Zbl 0732.05024
Abbott, H. L.; Hare, D. R.
3
1989
Bounds for the covering number of a graph. Zbl 0393.05032
Abbott, H. L.; Liu, A. C.
3
1979
Covering squares with squares. Zbl 0960.52007
Abbott, H. L.; Katchalski, M.
2
2000
Some remarks on \((k-1)\)-critical subgraphs of \(k\)-critical graphs. Zbl 0844.05052
Abbott, H. L.; Zhou, B.
2
1995
On property \(\mathfrak B\) of families of sets. Zbl 0335.05111
Abbott, H. L.
2
1975
On a conjecture of Erdős and Silverman in combinatorial geometry. Zbl 0473.51009
Abbott, H. L.
2
1980
Property B(s) and projective planes. Zbl 0597.05017
Abbott, H. L.; Liu, A.
2
1985
Families of 4-sets without property B. Zbl 1071.05578
Abbott, H. L.; Hare, D. R.
2
2001
Sidon sets. Zbl 0715.11004
Abbott, H. L.
2
1990
The edge density of 4-critical planar graphs. Zbl 0748.05054
Abbott, H. L.; Zhou, B.
2
1991
Further results on snakes in powers of complete graphs. Zbl 0758.05062
Abbott, H. L.; Katchalski, M.
2
1991
On set systems not containing delta systems. Zbl 0760.05086
Abbott, H. L.; Exoo, Geoffrey
2
1992
On a conjecture of Gallai concerning complete subgraphs of \(k\)-critical graphs. Zbl 0758.05048
Abbott, H. L.; Zhou, B.
2
1992
On property B(s). Zbl 0421.05063
Abbott, H. L.; Liu, A.
2
1979
An extremal problem in graph theory. Zbl 0443.05052
Abbott, H. L.; Hanson, D.; Liu, A. C.
2
1980
An extremal problem in hypergraph theory. II. Zbl 0478.05070
Abbott, H. L.; Hanson, D.; Liu, A. C.
1
1981
Color-critical graphs and hypergraphs with few edges and no short cycles. Zbl 0893.05003
Abbott, H. L.; Hare, D. R.; Zhou, B.
1
1998
Square critically 3-chromatic hypergraphs. Zbl 0934.05059
Abbott, H. L.; Hare, D. R.
1
1999
Lower bounds for certain types of van der Waerden numbers. Zbl 0241.05010
Abbott, H. L.; Hanson, D.
1
1972
On partitioning integers into progression free sets. Zbl 0283.05004
Abbott, H. L.; Liu, A. C.
1
1972
On Ramsey numbers for circuits. Zbl 0283.05110
Abbott, H. L.
1
1974
On a combinatorial problem in geometry. Zbl 0304.05009
Abbott, H. L.; Hanson, D.
1
1975
On a conjecture of Funar concerning generalized sum-free sets. Zbl 0767.11008
Abbott, H. L.
1
1991
How many 3-term arithmetic progressions can there be if there are no longer ones? Zbl 0373.10035
Simmons, G. J.; Abbott, H. L.
1
1977
The enumeration problem for color critical linear hypergraphs. Zbl 0443.05051
Abbott, H. L.; Liu, A.; Toft, B.
1
1980
On \(k\)-critical graphs with many edges and no short cycles. Zbl 0793.05056
Abbott, H. L.; Zhou, B.
1
1993
Proof of a conjecture of Dirac concerning 4-critical planar graphs. Zbl 0809.05048
Abbott, H. L.; Katchalski, M.; Zhou, B.
1
1994
Families of 4-sets without property B. Zbl 1071.05578
Abbott, H. L.; Hare, D. R.
2
2001
Covering squares with squares. Zbl 0960.52007
Abbott, H. L.; Katchalski, M.
2
2000
Square critically 3-chromatic hypergraphs. Zbl 0934.05059
Abbott, H. L.; Hare, D. R.
1
1999
Color-critical graphs and hypergraphs with few edges and no short cycles. Zbl 0893.05003
Abbott, H. L.; Hare, D. R.; Zhou, B.
1
1998
Some remarks on \((k-1)\)-critical subgraphs of \(k\)-critical graphs. Zbl 0844.05052
Abbott, H. L.; Zhou, B.
2
1995
Sparse color-critical graphs and hypergraphs with no short cycles. Zbl 0805.05059
Abbott, H. L.; Zhou, B.; Hare, D. R.
4
1994
Proof of a conjecture of Dirac concerning 4-critical planar graphs. Zbl 0809.05048
Abbott, H. L.; Katchalski, M.; Zhou, B.
1
1994
The star chromatic number of a graph. Zbl 0780.05019
Abbott, H. L.; Zhou, B.
11
1993
On \(k\)-critical graphs with many edges and no short cycles. Zbl 0793.05056
Abbott, H. L.; Zhou, B.
1
1993
On set systems not containing delta systems. Zbl 0760.05086
Abbott, H. L.; Exoo, Geoffrey
2
1992
On a conjecture of Gallai concerning complete subgraphs of \(k\)-critical graphs. Zbl 0758.05048
Abbott, H. L.; Zhou, B.
2
1992
On small faces in 4-critical planar graphs. Zbl 0755.05062
Abbott, H. L.; Zhou, B.
43
1991
On the construction of snake in the box codes. Zbl 0776.05062
Abbott, H. L.; Katchalski, M.
11
1991
The edge density of 4-critical planar graphs. Zbl 0748.05054
Abbott, H. L.; Zhou, B.
2
1991
Further results on snakes in powers of complete graphs. Zbl 0758.05062
Abbott, H. L.; Katchalski, M.
2
1991
On a conjecture of Funar concerning generalized sum-free sets. Zbl 0767.11008
Abbott, H. L.
1
1991
Sidon sets. Zbl 0715.11004
Abbott, H. L.
2
1990
Sparse colour-critical hypergraphs. Zbl 0732.05024
Abbott, H. L.; Hare, D. R.
3
1989
On the snake in the box problem. Zbl 0662.05034
Abbott, H. L.; Katchalski, M.
10
1988
Snakes and pseudo-snakes in powers of complete graphs. Zbl 0634.05037
Abbott, H. L.; Katchalski, M.
3
1988
On sum-free sequences. Zbl 0619.10055
Abbott, H. L.
5
1987
On the Erdős-Straus non-averaging set problem. Zbl 0607.10039
Abbott, H. L.
3
1986
Property B(s) and projective planes. Zbl 0597.05017
Abbott, H. L.; Liu, A.
2
1985
On the additive completion of sets of integers. Zbl 0513.10050
Abbott, H. L.
4
1983
On non-averaging sets of integers. Zbl 0514.10042
Abbott, H. L.
3
1982
On property B(s). II. Zbl 0489.05044
Abbott, H. L.; Liu, A. C.
4
1981
An extremal problem in hypergraph theory. II. Zbl 0478.05070
Abbott, H. L.; Hanson, D.; Liu, A. C.
1
1981
Extremal problems on non-averaging and non-dividing sets. Zbl 0461.10046
Abbott, H. L.
5
1980
An extremal problem in graph theory. II. Zbl 0443.05053
Abbott, H. L.; Katchalski, M.; Liu, A. C.
4
1980
On property B of families of sets. Zbl 0459.05008
Abbott, H. L.; Liu, A. C.
4
1980
On a conjecture of Erdős and Silverman in combinatorial geometry. Zbl 0473.51009
Abbott, H. L.
2
1980
An extremal problem in graph theory. Zbl 0443.05052
Abbott, H. L.; Hanson, D.; Liu, A. C.
2
1980
The enumeration problem for color critical linear hypergraphs. Zbl 0443.05051
Abbott, H. L.; Liu, A.; Toft, B.
1
1980
A Turan type problem for interval graphs. Zbl 0391.05033
Abbott, Harvey; Katchalski, Meir
6
1979
Bounds for the covering number of a graph. Zbl 0393.05032
Abbott, H. L.; Liu, A. C.
3
1979
On property B(s). Zbl 0421.05063
Abbott, H. L.; Liu, A.
2
1979
The existence problem for colour critical linear hypergraphs. Zbl 0426.05026
Abbott, H. L.; Liu, A. C.
7
1978
A lattice path problem. Zbl 0416.05009
Abbott, H. L.; Hanson, D.
5
1978
On finite Delta-systems. II. Zbl 0354.05004
Abbott, H. L.; Hanson, D.
6
1977
Sum-free sets of integers. Zbl 0369.10034
Abbott, H. L.; Wang, E. T. H.
5
1977
Snakes in powers of complete graphs. Zbl 0349.05116
Abbott, H. L.; Dierker, P. F.
3
1977
How many 3-term arithmetic progressions can there be if there are no longer ones? Zbl 0373.10035
Simmons, G. J.; Abbott, H. L.
1
1977
On property \(\mathfrak B\) of families of sets. Zbl 0335.05111
Abbott, H. L.
2
1975
On a combinatorial problem in geometry. Zbl 0304.05009
Abbott, H. L.; Hanson, D.
1
1975
Some results in combinatorial geometry. Zbl 0298.05014
Abbott, H. L.
9
1974
On the number of times an integer occurs as a binomial coefficient. Zbl 0276.05005
Abbott, H. L.; Erdős, Paul; Hanson, D.
6
1974
On finite \(\Delta\)-systems. Zbl 0291.05002
Abbott, H. L.; Hanson, D.
4
1974
Lower bounds for some Ramsey numbers. Zbl 0285.05008
Abbott, H. L.; Williams, E. R.
3
1974
On Ramsey numbers for circuits. Zbl 0283.05110
Abbott, H. L.
1
1974
Quasiperfect numbers. Zbl 0227.10009
Abbott, H. L.; Aull, Charles E.; Brown, Ezra; Suryanarayana, D.
4
1973
Intersection theorems for systems of sets. Zbl 0247.05004
Abbott, H. L.; Hanson, D.; Sauer, N.
31
1972
A problem of Schur and its generalizations. Zbl 0207.54802
Abbott, H. L.; Hanson, D.
19
1972
A note on Ramsey’s theorem. Zbl 0242.05123
Abbott, H. L.
8
1972
Lower bounds for some Ramsey numbers. Zbl 0242.05124
Abbott, H. L.
8
1972
Lower bounds for certain types of van der Waerden numbers. Zbl 0241.05010
Abbott, H. L.; Hanson, D.
1
1972
On partitioning integers into progression free sets. Zbl 0283.05004
Abbott, H. L.; Liu, A. C.
1
1972
On a combinatorial problem of Erdős. Zbl 0192.33203
Abbott, H. L.; Hanson, D.
13
1969
Remark on a combinatorial theorem of Erdős and Rado. Zbl 0209.31603
Abbott, H. L.; Gardner, B.
3
1969
Sum-free sets of integers. Zbl 0151.03701
Abbott, H. L.; Moser, L.
10
1966
Some remarks on a combinatorial theorem of Erdős and Rado. Zbl 0141.00802
Abbott, H. L.
6
1966
Hamiltonian circuits and paths on the n-cube. Zbl 0148.17904
Abbott, H. L.
4
1966
An application of Ramsay’s theorem to a problem of Erdős and Hajnal. Zbl 0237.05001
Abbott, H. L.
4
1965
On a combinatorial problem of Erdős and Hajnal. Zbl 0131.01302
Abbott, H. L.; Moser, L.
9
1964
all top 5

Cited by 371 Authors

24 Abbott, Harvey Leslie
10 Wang, Yingqian
9 Borodin, Oleg Veniaminovich
8 Wang, Wei-Fan
7 Erdős, Pál
7 Raspaud, André
7 Zhu, Xuding
6 Chen, Min
6 Hanson, Denis
5 Furedi, Zoltan
5 Glebov, Alekseĭ Nikolaevich
4 Kang, Yingli
4 Kleitman, Daniel J.
4 Kostochka, Aleksandr Vasil’evich
4 Montassier, Mickaël
4 Xu, Baogang
4 Zhou, Bing
3 Adhikari, Sukumar Das
3 Alon, Noga
3 Ben-Aroya, Avraham
3 Byrnes, Kevin M.
3 Doron, Dean
3 Fox, Jacob
3 Frankl, Péter
3 Guttmann, Anthony John
3 Ivanova, Anna Olegovna
3 Jensen, Iwan
3 Jin, Ligang
3 Katchalski, Meir
3 Kim, Jaehoon
3 Revuelta, M. Pastora
3 Sanz Domínguez, María Isabel
3 Sudakov, Benny
3 Ta-Shma, Amnon
3 Wojciechowski, Jerzy
2 Axenovich, Maria A.
2 Balasubramanian, Ramachandran
2 Bu, Yuehua
2 Bucić, Matija
2 Chang, Gerard Jennhwa
2 Chen, Guantao
2 Choi, Ilkyoo
2 Chvátal, Václav
2 Cohen, Gil
2 de Vries, Hans-Ludwig
2 Eckhoff, Jürgen
2 Eliahou, Shalom
2 Gerbner, Dániel
2 Gyárfás, András
2 Irving, Robert W.
2 Khare, Niraj
2 Kim, Minki
2 Kranakis, Evangelos Konstantinou
2 Li, Xiangwen
2 Li, Yongtao
2 Li, Yusheng
2 Liu, Hong
2 Liu, Peipei
2 Lu, Huajing
2 Mubayi, Dhruv
2 Pocchiola, Michel
2 Rodl, Vojtech
2 Ruzsa, Imre Z.
2 Shannigrahi, Saswata Shannigrahi
2 Simonovits, Miklós
2 Snevily, Hunter S.
2 Tait, Michael
2 Toft, Bjarne
2 van Zanten, Arend Jan
2 Weiermann, Andreas
2 Xu, Jinghan
2 Znám, Štefan
1 Aglave, Sachin
1 Aigner, Martin
1 Amarnath, V. A.
1 An, Bo
1 Arman, Andrii
1 Auer, Peter
1 Bai, Chunsong
1 Bai, Yandong
1 Bai, Ying
1 Balachandran, Niranjan
1 Balogh, József
1 Benda, Miroslav
1 Bernshteyn, Anton
1 Blokhuis, Aart
1 Bosznay, Adam P.
1 Boza, L.
1 Briggs, Joseph
1 Brouwer, Andries Evert
1 Brown, Jason Ira
1 Bukor, József
1 Cavero, Sergio
1 Chakraborti, Debsoumya
1 Chapoullié, Romain
1 Chappelon, Jonathan
1 Chaubey, Sneha
1 Chen, Ming
1 Chen, Weiji
1 Chen, Yaojun
...and 271 more Authors
all top 5

Cited in 68 Serials

57 Discrete Mathematics
19 Journal of Combinatorial Theory. Series B
14 Journal of Combinatorial Theory. Series A
11 European Journal of Combinatorics
10 Journal of Graph Theory
9 Combinatorica
9 Graphs and Combinatorics
6 Discrete Applied Mathematics
6 Israel Journal of Mathematics
6 Journal of Number Theory
6 Proceedings of the American Mathematical Society
5 Designs, Codes and Cryptography
5 Acta Mathematica Sinica. English Series
4 Acta Mathematica Hungarica
4 The Electronic Journal of Combinatorics
4 Integers
3 Acta Mathematica Academiae Scientiarum Hungaricae
3 International Journal of Theoretical Physics
3 Mathematics of Computation
3 Discrete & Computational Geometry
3 Random Structures & Algorithms
3 The Australasian Journal of Combinatorics
3 Journal of Physics A: Mathematical and Theoretical
2 Information Processing Letters
2 Periodica Mathematica Hungarica
2 SIAM Journal on Computing
2 Theoretical Computer Science
2 Applied Mathematics Letters
2 SIAM Journal on Discrete Mathematics
2 Journal of Mathematical Sciences (New York)
2 Journal of Combinatorial Optimization
2 Science China. Mathematics
1 Bulletin of the Australian Mathematical Society
1 Computers & Mathematics with Applications
1 Indian Journal of Pure & Applied Mathematics
1 Mathematical Notes
1 Russian Mathematical Surveys
1 Journal of Computer and System Sciences
1 Journal of the Korean Mathematical Society
1 Journal of Soviet Mathematics
1 Mathematische Zeitschrift
1 Mathematika
1 Monatshefte für Mathematik
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Proceedings of the London Mathematical Society. Third Series
1 Semigroup Forum
1 Advances in Applied Mathematics
1 Acta Mathematicae Applicatae Sinica
1 SIAM Journal on Algebraic and Discrete Methods
1 Acta Mathematicae Applicatae Sinica. English Series
1 Computers & Operations Research
1 Science in China. Series A
1 Computational Geometry
1 The Journal of Supercomputing
1 Aequationes Mathematicae
1 European Journal of Operational Research
1 International Journal of Computer Mathematics
1 Linear Algebra and its Applications
1 Chinese Science Bulletin
1 Applied Mathematics. Series B (English Edition)
1 Journal of Combinatorial Designs
1 Doklady Mathematics
1 AKCE International Journal of Graphs and Combinatorics
1 Discrete Optimization
1 Matematický Časopis, Slovenskej Akadémie Vied
1 Matematicko-Fyzikálny Časopis, Slovenskej Akadémie Vied
1 The College Mathematics Journal
1 Forum of Mathematics, Pi

Citations by Year