-
1
-
-
0043133318
-
A Ramsey-type problem on right-angled triangles in space
-
M. Bóna, G. Tóth, A Ramsey-type problem on right-angled triangles in space, Discrete Math. 150 (1-3) (1996) 61-67.
-
(1996)
Discrete Math.
, vol.150
, Issue.1-3
, pp. 61-67
-
-
Bóna, M.1
Tóth, G.2
-
2
-
-
0039114495
-
On the chromatic number of rational five-space
-
K.B. Chilakamarri, On the chromatic number of rational five-space, Aequationes Math. 39 (2-3) (1990) 146-148.
-
(1990)
Aequationes Math.
, vol.39
, Issue.2-3
, pp. 146-148
-
-
Chilakamarri, K.B.1
-
3
-
-
0011471443
-
The unit-distance graph problem: A brief survey and some new results
-
K.B. Chilakamarri, The unit-distance graph problem: a brief survey and some new results, Bull. Inst. Combin. Appl. 8 (1993) 39-60.
-
(1993)
Bull. Inst. Combin. Appl.
, vol.8
, pp. 39-60
-
-
Chilakamarri, K.B.1
-
4
-
-
38149146321
-
Note on a Ramsey-type problem in geometry
-
G. Csizmadia, G. Tóth, Note on a Ramsey-type problem in geometry, J. Combin. Theory Ser. A 65 (2) (1994) 302-306.
-
(1994)
J. Combin. Theory Ser. A
, vol.65
, Issue.2
, pp. 302-306
-
-
Csizmadia, G.1
Tóth, G.2
-
5
-
-
0001194434
-
A colour problem for infinite graphs and a problem in the theory of relations
-
N.G. De Bruijn, P. Erdos, A colour problem for infinite graphs and a problem in the theory of relations, Nederl. Akad. Wetensch. Indag. Math. 13 (1951) 371-373.
-
(1951)
Nederl. Akad. Wetensch. Indag. Math.
, vol.13
, pp. 371-373
-
-
De Bruijn, N.G.1
Erdos, P.2
-
6
-
-
51249186204
-
On the combinatorial problems which i would most like to see solved
-
P. Erdos, On the combinatorial problems which I would most like to see solved, Combinatorica 1 (1) (1981) 25-42.
-
(1981)
Combinatorica
, vol.1
, Issue.1
, pp. 25-42
-
-
Erdos, P.1
-
7
-
-
0346752792
-
On the chromatic number of geometric graphs
-
P. Erdos, M. Simonovits, On the chromatic number of geometric graphs, Ars Combin. 9 (1980) 229-246.
-
(1980)
Ars Combin.
, vol.9
, pp. 229-246
-
-
Erdos, P.1
Simonovits, M.2
-
8
-
-
0039855406
-
Euclidean Ramsey Theorems. i
-
P. Erdos, R.L. Graham, P. Montgomery, B.L. Rothschild, J.H. Spencer, E.G. Straus, Euclidean Ramsey Theorems. I, J. Combin. Theory Ser. A 14 (1973) 341-363.
-
(1973)
J. Combin. Theory Ser. A
, vol.14
, pp. 341-363
-
-
Erdos, P.1
Graham, R.L.2
Montgomery, P.3
Rothschild, B.L.4
Spencer, J.H.5
Straus, E.G.6
-
9
-
-
0142224874
-
Euclidean Ramsey Theorems. II, Infinite and Finite Sets
-
North-Holland, Amsterdam
-
P. Erdos, R.L. Graham, P. Montgomery, B.L. Rothschild, J.H. Spencer, E.G. Straus, Euclidean Ramsey Theorems. II, Infinite and Finite Sets, Colloq. Math. Soc. J. Bolyai, Vol. 10, North-Holland, Amsterdam, 1975a, pp. 529-557.
-
(1975)
Colloq. Math. Soc. J. Bolyai
, vol.10
, pp. 529-557
-
-
Erdos, P.1
Graham, R.L.2
Montgomery, P.3
Rothschild, B.L.4
Spencer, J.H.5
Straus, E.G.6
-
10
-
-
0142224874
-
Euclidean Ramsey Theorems. III, Infinite and Finite Sets
-
North-Holland, Amsterdam
-
P. Erdos, R.L. Graham, P. Montgomery, B.L. Rothschild, J.H. Spencer, E.G. Straus, Euclidean Ramsey Theorems. III, Infinite and Finite Sets, Colloq. Math. Soc. J. Bolyai, Vol. 10, North-Holland, Amsterdam, 1975b, pp. 559-583.
-
(1975)
Colloq. Math. Soc. J. Bolyai
, vol.10
, pp. 559-583
-
-
Erdos, P.1
Graham, R.L.2
Montgomery, P.3
Rothschild, B.L.4
Spencer, J.H.5
Straus, E.G.6
-
12
-
-
51249185135
-
Intersection theorems with geometric consequences
-
P. Frankl, R.M. Wilson, Intersection theorems with geometric consequences, Combinatorica 1 (4) (1981) 357-368.
-
(1981)
Combinatorica
, vol.1
, Issue.4
, pp. 357-368
-
-
Frankl, P.1
Wilson, R.M.2
-
13
-
-
1642269516
-
Mathematical Games
-
October
-
M. Gardner, Mathematical Games, Scientific Amer. 203, No. 4, October (1960) 180.
-
(1960)
Scientific Amer.
, vol.203
, Issue.4
, pp. 180
-
-
Gardner, M.1
-
14
-
-
27544464306
-
Überdeckung des Euklidischen Raumen durch Kongruente Mengen
-
in German
-
H. Hadwiger, Überdeckung des Euklidischen Raumen durch Kongruente Mengen, Portugal. Math. 4 (1945) 238-242 (in German).
-
(1945)
Portugal. Math.
, vol.4
, pp. 238-242
-
-
Hadwiger, H.1
-
15
-
-
0003640698
-
-
English Edition; Translated by V. Klee, Holt, Rinehart and Winston, New York
-
H. Hadwiger, J. Debrunner, Combinatorial Geometry in the Plane (English Edition; Translated by V. Klee), Holt, Rinehart and Winston, New York, 1964.
-
(1964)
Combinatorial Geometry in the Plane
-
-
Hadwiger, H.1
Debrunner, J.2
-
16
-
-
33751020171
-
Almost chromatic number of the plane
-
I. Hoffman, A. Soifer, Almost chromatic number of the plane, Geombinatorics 3 (2) (1993) 38-40.
-
(1993)
Geombinatorics
, vol.3
, Issue.2
, pp. 38-40
-
-
Hoffman, I.1
Soifer, A.2
-
17
-
-
0043132201
-
Another six-coloring of the plane
-
I. Hoffman, A. Soifer, Another six-coloring of the plane, Discrete Math. 150 (1-3) (1996) 427-429.
-
(1996)
Discrete Math.
, vol.150
, Issue.1-3
, pp. 427-429
-
-
Hoffman, I.1
Soifer, A.2
-
18
-
-
0003698173
-
-
Wiley-Interscience Series in Discrete Mathematics and Optimization, Wiley-Intersciences, New York
-
T.R. Jensen, B. Toft, in: Graph Coloring Problems, Wiley-Interscience Series in Discrete Mathematics and Optimization, Wiley-Intersciences, New York, 1995.
-
(1995)
Graph Coloring Problems
-
-
Jensen, T.R.1
Toft, B.2
-
19
-
-
0039706620
-
Introduction to "Coloring of Metric Spaces"
-
by M. Benda and M. Perles
-
P.D. Johnson Jr., Introduction to "Coloring of Metric Spaces", by M. Benda and M. Perles, Geombinatorics 9 (3) (2000) 110-126.
-
(2000)
Geombinatorics
, vol.9
, Issue.3
, pp. 110-126
-
-
Johnson Jr., P.D.1
-
20
-
-
0041042345
-
Ramsey type theorems in the plane
-
R. Juhász, Ramsey type theorems in the plane, J. Combin. Theory Ser. A 27 (2) (1979) 152-160.
-
(1979)
J. Combin. Theory Ser. A
, vol.27
, Issue.2
, pp. 152-160
-
-
Juhász, R.1
-
21
-
-
0038962135
-
Old and new unsolved problems in plane geometry and number theory
-
Mathematical Association of America, Washington, DC, Chapter 8
-
V. Klee, S. Wagon, Old and new unsolved problems in plane geometry and number theory, The Docliani Mathematical Expositions, 11, Mathematical Association of America, Washington, DC, 1991, pp. 45-49, 120-127 (Chapter 8).
-
(1991)
The Docliani Mathematical Expositions
, vol.11
, pp. 45-49
-
-
Klee, V.1
Wagon, S.2
-
22
-
-
84976175804
-
The realization of distances within sets in Euclidean space
-
D.G. Larman, C.A. Rogers, The realization of distances within sets in Euclidean space, Mathematika 19 (37) (1972) 1-24.
-
(1972)
Mathematika
, vol.19
, Issue.37
, pp. 1-24
-
-
Larman, D.G.1
Rogers, C.A.2
-
23
-
-
11744379524
-
Self dual polytopes and the chromatic number of distance graphs on the sphere
-
L. Lovász, Self dual polytopes and the chromatic number of distance graphs on the sphere, Acta. Sci. Math. 45 (1983) 317-323.
-
(1983)
Acta. Sci. Math.
, vol.45
, pp. 317-323
-
-
Lovász, L.1
-
24
-
-
85052692624
-
Finite point configurations
-
J.E. Goodman, J. O'Rourke (Eds.), CRC Press, Boca Raton, New York
-
J. Pach, Finite point configurations, in: J.E. Goodman, J. O'Rourke (Eds.), Handbook of Discrete and Computational Geometry, CRC Press, Boca Raton, New York, 1997, pp. 3-18.
-
(1997)
Handbook of Discrete and Computational Geometry
, pp. 3-18
-
-
Pach, J.1
-
25
-
-
0039219303
-
n into n + 1 parts
-
in Russian
-
n into n + 1 parts, Mat. Zametki 7 (1970) 319-323 (in Russian);
-
(1970)
Mat. Zametki
, vol.7
, pp. 319-323
-
-
Raǐskiǐ, D.E.1
-
26
-
-
34250483165
-
-
English translation
-
English translation [Math. Notes 7 (1970) 194-196].
-
(1970)
Math. Notes
, vol.7
, pp. 194-196
-
-
-
27
-
-
33750973556
-
The fractional chromatic number of the plane
-
Wiley, New York, Chapter 3.6
-
E.R. Scheinerman, D.H. Ullman, The fractional chromatic number of the plane, Fractional Graph Theory, Wiley, New York, 1997, pp. 59-66 (Chapter 3.6).
-
(1997)
Fractional Graph Theory
, pp. 59-66
-
-
Scheinerman, E.R.1
Ullman, D.H.2
-
28
-
-
33750993376
-
On a problem of Erdos concerning a 3-coloring of the unit sphere
-
G.J. Simmons, On a problem of Erdos concerning a 3-coloring of the unit sphere, Discrete Math. 8 (1974) 81-84.
-
(1974)
Discrete Math.
, vol.8
, pp. 81-84
-
-
Simmons, G.J.1
-
29
-
-
33751009850
-
Bounds on the chromatic number of the sphere
-
Florida Atlantic University, Boca Raton, FL
-
G.J. Simmons, Bounds on the chromatic number of the sphere, Proceedings of the Sixth Southeastern Conference on Combinatorics, Graph Theory, and Computing, Congressus Numerantium, Vol. XIV, Florida Atlantic University, Boca Raton, FL, 1975, pp. 541-548.
-
(1975)
Proceedings of the Sixth Southeastern Conference on Combinatorics, Graph Theory, and Computing, Congressus Numerantium
, vol.14
, pp. 541-548
-
-
Simmons, G.J.1
-
30
-
-
84974509716
-
The chromatic number of the sphere
-
G.J. Simmons, The chromatic number of the sphere, J. Austral. Math. Soc., Ser. A 21 (1976) 473-480.
-
(1976)
J. Austral. Math. Soc., Ser. A
, vol.21
, pp. 473-480
-
-
Simmons, G.J.1
-
31
-
-
0002685831
-
Chromatic number of the plane: A historical essay
-
A. Soifer, Chromatic number of the plane: a historical essay, Geombinatorics 1 (3) (1991) 13-15.
-
(1991)
Geombinatorics
, vol.1
, Issue.3
, pp. 13-15
-
-
Soifer, A.1
-
32
-
-
0002685831
-
Relatives of chromatic number of the plane i
-
A. Soifer, Relatives of chromatic number of the plane I, Geombinatorics 1 (4) (1992a) 13-15.
-
(1992)
Geombinatorics
, vol.1
, Issue.4
, pp. 13-15
-
-
Soifer, A.1
-
33
-
-
38249008465
-
A six-coloring of the plane
-
A. Soifer, A six-coloring of the plane, J. Combin. Theory Ser. A 61 (2) (1992b) 292-294.
-
(1992)
J. Combin. Theory Ser. A
, vol.61
, Issue.2
, pp. 292-294
-
-
Soifer, A.1
-
34
-
-
0042765998
-
An infinite class of six-coloring of the plane
-
Proceedings of the 25th Southeastern international Conference on Combinatorics, Graph Theory and Computing, Boca Raton, FK, 1994
-
A. Soifer, An infinite class of six-coloring of the plane, Congr. Numer. 101 (1994a) 83-86, Proceedings of the 25th Southeastern international Conference on Combinatorics, Graph Theory and Computing, Boca Raton, FK, 1994.
-
(1994)
Congr. Numer.
, vol.101
, pp. 83-86
-
-
Soifer, A.1
-
37
-
-
0000510531
-
Distances realised by sets covering the plane
-
D.R. Woodall, Distances realised by sets covering the plane, J. Combin. Theory Ser. A 14 (1973) 187-200.
-
(1973)
J. Combin. Theory Ser. A
, vol.14
, pp. 187-200
-
-
Woodall, D.R.1
-
38
-
-
0040892584
-
On the chromatic number of some rational spaces
-
J. Zaks, On the chromatic number of some rational spaces, Ars Combin. 33 (1992) 253-256.
-
(1992)
Ars Combin.
, vol.33
, pp. 253-256
-
-
Zaks, J.1
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