-
1
-
-
0001194434
-
A colour problem for infinite graphs and a problem in the theory of relations
-
N. G. de Bruijn and P. Erdos, "A colour problem for infinite graphs and a problem in the theory of relations", Nederl. Akad. Wet. Proc. Ser. A 54:5 (1951), 371-373.
-
(1951)
Nederl. Akad. Wet. Proc. Ser. A
, vol.54
, Issue.5
, pp. 371-373
-
-
De Bruijn, N.G.1
Erdos, P.2
-
2
-
-
0005196226
-
Solution to problem 10
-
L. Moser and W. Moser, "Solution to problem 10", Canad. Math. Bull. 4 (1961), 187-189.
-
(1961)
Canad. Math. Bull.
, vol.4
, pp. 187-189
-
-
Moser, L.1
Moser, W.2
-
3
-
-
0000013304
-
Ungeloste probleme no. 40
-
H. Hadwiger, "Ungeloste Probleme No. 40", Elem. Math. 16 (1961), 103-104.
-
(1961)
Elem. Math.
, vol.16
, pp. 103-104
-
-
Hadwiger, H.1
-
4
-
-
66749129174
-
-
Moscow Center for Continuous Mathematical Education, Moscow, (Russian)
-
A. M. Raigorodskii, Chromatic numbers, Moscow Center for Continuous Mathematical Education, Moscow 2003. (Russian).
-
(2003)
Chromatic Numbers
-
-
Raigorodskii, A.M.1
-
5
-
-
31244431950
-
On the space chromatic number
-
O. Nechushtan, "On the space chromatic number", Discrete Math. 256:1-2 (2002), 499-507.
-
(2002)
Discrete Math
, vol.256
, Issue.1-2
, pp. 499-507
-
-
Nechushtan, O.1
-
6
-
-
31244436597
-
A 15-colouring of 3-space omitting distance one
-
D. Coulson, "A 15-colouring of 3-space omitting distance one", Discrete Math. 256:1-2 (2002), 83-90.
-
(2002)
Discrete Math
, vol.256
, Issue.1-2
, pp. 83-90
-
-
Coulson, D.1
-
8
-
-
77953972715
-
An estimate for the chromatic number of the space R4
-
L. L. Ivanov, "An estimate for the chromatic number of the space R4", Uspekhi Mat. Nauk 61:5 (2006), 181-182.
-
(2006)
Uspekhi Mat. Nauk
, vol.61
, Issue.5
, pp. 181-182
-
-
Ivanov, L.L.1
-
9
-
-
33947227321
-
-
Russian Math. Surveys 61:5 (2006), 984-986.
-
(2006)
Russian Math. Surveys
, vol.61
, Issue.5
, pp. 984-986
-
-
-
10
-
-
80052760993
-
Note on the chromatic number of the space
-
Springer-Verlag, Berlin
-
R. Radoicic and G. Toth, "Note on the chromatic number of the space", Discrete and computational geometry, Algorithms Combin., vol. 25, Springer-Verlag, Berlin 2003, pp. 696-698.
-
(2003)
Discrete and Computational Geometry, Algorithms Combin
, vol.25
, pp. 696-698
-
-
Radoicic, R.1
Toth, G.2
-
11
-
-
0001103852
-
On the chromatic number of a space
-
A. M. Raigorodskii, "On the chromatic number of a space", Uspekhi Mat. Nauk 55:2 (2000), 147-148.
-
(2000)
Uspekhi Mat. Nauk
, vol.55
, Issue.2
, pp. 147-148
-
-
Raigorodskii, A.M.1
-
12
-
-
0034404299
-
-
Russian Math. Surveys 55:2 (2000), 351-352.
-
(2000)
Russian Math. Surveys
, vol.55
, Issue.2
, pp. 351-352
-
-
-
13
-
-
84976175804
-
The realization of distances within sets in euclidean space
-
D. G. Larman and C. A. Rogers, "The realization of distances within sets in Euclidean space", Mathematika 19 (1972), 1-24.
-
(1972)
Mathematika
, vol.19
, pp. 1-24
-
-
Larman, D.G.1
Rogers, C.A.2
-
14
-
-
51249185135
-
Intersection theorems with geometric consequences
-
P. Frankl and 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
-
15
-
-
0001869610
-
Graph theory and probability
-
P. Erdos, "Graph theory and probability", Canad. J. Math. 11 (1959), 34-38.
-
(1959)
Canad. J. Math.
, vol.11
, pp. 34-38
-
-
Erdos, P.1
-
16
-
-
84888359361
-
Unsolved problems
-
Winnipeg
-
P. Erdos, "Unsolved problems", Congressus numerantium, vol. 15, Winnipeg 1976, pp. 678-696.
-
(1976)
Congressus Numerantium
, vol.15
, pp. 678-696
-
-
Erdos, P.1
-
17
-
-
84940300927
-
A 4-chromatic graph with a special plane drawing
-
N. Wormald, "A 4-chromatic graph with a special plane drawing", J. Austral. Math. Soc. Ser. A 28:1 (1979), 1-8.
-
(1979)
J. Austral. Math. Soc. Ser. A
, vol.28
, Issue.1
, pp. 1-8
-
-
Wormald, N.1
-
18
-
-
38349028318
-
Some 4-chromatic unit-distance graphs without small cycles
-
R. Hochberg and P. O'Donnell, "Some 4-chromatic unit-distance graphs without small cycles", Geombinatorics 5:4 (1996), 137-141.
-
(1996)
Geombinatorics
, vol.5
, Issue.4
, pp. 137-141
-
-
Hochberg, R.1
O'Donnell, P.2
-
19
-
-
50249106662
-
Arbitrary girth, 4-chromatic unit distance graphs in the plane, I, Graph description
-
P. O'Donnell, "Arbitrary girth, 4-chromatic unit distance graphs in the plane. I. Graph description", Geombinatorics 9:3 (2000), 145-152.
-
(2000)
Geombinatorics
, vol.9
, Issue.3
, pp. 145-152
-
-
O'Donnell, P.1
-
20
-
-
50249106662
-
Arbitrary girth, 4-chromatic unit distance graphs in the plane, II, Graph embedding
-
P. O'Donnell, "Arbitrary girth, 4-chromatic unit distance graphs in the plane. II. Graph embedding", Geombinatorics 9:4 (2000), 180-193.
-
(2000)
Geombinatorics
, vol.9
, Issue.4
, pp. 180-193
-
-
O'Donnell, P.1
-
21
-
-
85018485710
-
Borsuk's problem and the chromatic numbers of some metric spaces
-
A. M. Raigorodskii, "Borsuk's problem and the chromatic numbers of some metric spaces", Uspekhi Mat. Nauk 56:1 (2001), 107-146.
-
(2001)
Uspekhi Mat. Nauk
, vol.56
, Issue.1
, pp. 107-146
-
-
Raigorodskii, A.M.1
-
22
-
-
0041082751
-
-
Russian Math. Surveys 56:1 (2001), 103-139.
-
(2001)
Russian Math. Surveys
, vol.56
, Issue.1
, pp. 103-139
-
-
-
23
-
-
24544463963
-
Erdos on unit distances and the szemeredi-trotter theorems
-
Springer-Veerlag, Berlin
-
L. A. Szekely, "Erdos on unit distances and the Szemeredi-Trotter theorems", Bolyai Soc. Math. Stud., vol. 11, Springer-Veerlag, Berlin.
-
Bolyai Soc. Math. Stud.
, vol.11
-
-
Szekely, L.A.1
-
24
-
-
84888343800
-
-
Budapest
-
Bolyai Math. Soc., Budapest 2002, pp. 649-666.
-
(2002)
Bolyai Math. Soc.
, pp. 649-666
-
-
-
25
-
-
43749091308
-
The chromatic number of the plane: Its past, present and future
-
Russian
-
A. Soifer, "The chromatic number of the plane: its past, present and future", Mat. Prosveshchenie, vol. 8, 2004, pp. 186-221. (Russian).
-
(2004)
Mat. Prosveshchenie
, vol.8
, pp. 186-221
-
-
Soifer, A.1
-
27
-
-
0004018188
-
-
Wiley-Intersci. Ser. Discrete Wiley-Interscience Publ. New York
-
J. Pach and P. K. Agarwal, Combinatorial geometry, Wiley-Intersci. Ser. Discrete Wiley-Interscience Publ., New York 1995.
-
(1995)
Combinatorial Geometry
-
-
Pach, J.1
Agarwal, P.K.2
-
28
-
-
0003532728
-
Old and new unsolved problems in plane geometry and number theory
-
Math. Association of America, Washington
-
V. Klee and S. Wagon, Old and new unsolved problems in plane geometry and number theory, Dolciani Math. Exp., vol. 11, Math. Association of America, Washington 1991.
-
(1991)
Dolciani Math. Exp.
, vol.11
-
-
Klee, V.1
Wagon, S.2
-
31
-
-
77954013139
-
Chromatic numbers of 3-dimensional distance graphs containing no tetrahedra
-
O. I. Rubanov, "Chromatic numbers of 3-dimensional distance graphs containing no tetrahedra", Mat. Zametki 82:5 (2007), 797-800.
-
(2007)
Mat. Zametki
, vol.82
, Issue.5
, pp. 797-800
-
-
Rubanov, O.I.1
-
32
-
-
38349050515
-
-
Math. Notes 82:5 (2007), 718-721.
-
(2007)
Math. Notes
, vol.82
, Issue.5
, pp. 718-721
-
-
-
33
-
-
4444329922
-
The difference between consecutive primes, II
-
R. C. Baker, G. Harman and J. Pintz, "The difference between consecutive primes. II", Proc. London Math. Soc. (3) 83: (2001), 532-562. (Pubitemid 33776381)
-
(2001)
Proceedings of the London Mathematical Society
, vol.83
, Issue.3
, pp. 532-562
-
-
Baker, R.C.1
Harman, G.2
Pintz, J.3
-
34
-
-
0003536935
-
-
Part 1, Department of Computer Science, The University of Chicago, Preliminary version 2
-
L. Babai and P. Frankl, Linear algebra methods in combinatorics, Part 1, Department of Computer Science, The University of Chicago, Preliminary version 2, 1992.
-
(1992)
Linear Algebra Methods in Combinatorics
-
-
Babai, L.1
Frankl, P.2
-
35
-
-
33645455244
-
The problems of borsuk and grunbaum on lattice polytopes
-
A. M. Raigorodskii, "The problems of Borsuk and Grunbaum on lattice polytopes", Izv. Ross. Akad. Nauk Ser. Mat. 69:3 (2005), 81-108.
-
(2005)
Izv. Ross. Akad. Nauk Ser. Mat.
, vol.69
, Issue.3
, pp. 81-108
-
-
Raigorodskii, A.M.1
-
36
-
-
33645455244
-
-
Izv. Math. 69:3 (2005), 513-537.
-
(2005)
Izv. Math.
, vol.69
, Issue.3
, pp. 513-537
-
-
-
37
-
-
84874578124
-
The independence numbers of distance graphs with vertices in -1, 0, 1-n: Estimates, conjectures and applications to the nelson-erdos-hadwiger and borsuk problems
-
Russian
-
A. E. Guterman, V. K. Lyubimov, A. M. Raigorodskii and S. A. Ysachev, "The independence numbers of distance graphs with vertices in -1, 0, 1-n: estimates, conjectures and applications to the Nelson-Erdos-Hadwiger and Borsuk problems", Itogi Nauki Tekhn. Sovr. Mat. 65 (2009), 82-100. (Russian).
-
(2009)
Itogi Nauki Tekhn. Sovr. Mat.
, vol.65
, pp. 82-100
-
-
Guterman, A.E.1
Lyubimov, V.K.2
Raigorodskii, A.M.3
Ysachev, S.A.4
-
38
-
-
48049122798
-
Chromatic numbers of real and rational spaces with real or rational forbidden distances
-
A. M. Raigorodskii and I. M. Shitova, "Chromatic numbers of real and rational spaces with real or rational forbidden distances", Mat. Sb. 199:4 (2008), 107-142.
-
(2008)
Mat. Sb.
, vol.199
, Issue.4
, pp. 107-142
-
-
Raigorodskii, A.M.1
Shitova, I.M.2
-
39
-
-
48049122798
-
-
Sb. Math. 199:4 (2008), 579-612.
-
(2008)
Sb. Math.
, vol.199
, Issue.4
, pp. 579-612
-
-
-
40
-
-
70350164286
-
Estimating the chromatic numbers of euclidean space by convex minimization methods
-
E. S. Gorskaya, I. M. Mitricheva, V.Y. Protasov and A. M. Raigorodskii, "Estimating the chromatic numbers of Euclidean space by convex minimization methods", Mat. Sb. 200:6 (2009), 3-22.
-
(2009)
Mat. Sb.
, vol.200
, Issue.6
, pp. 3-22
-
-
Gorskaya, E.S.1
Mitricheva, I.M.2
Protasov, V.Y.3
Raigorodskii, A.M.4
-
41
-
-
70350164286
-
-
Sb. Math. 200:6 (2009), 783-801.
-
(2009)
Sb. Math.
, vol.200
, Issue.6
, pp. 783-801
-
-
-
42
-
-
0003525990
-
-
North-Holland, Amsterdam-New York-Oxford
-
F. J. MacWilliams and N. J. A. Sloane, The theory of error-correcting codes, I, II, North-Holland, Amsterdam-New York-Oxford 1977.
-
(1977)
The Theory of Error-correcting Codes, I, II
-
-
MacWilliams, F.J.1
Sloane, N.J.A.2
-
43
-
-
0004074813
-
-
Blaisdell Publ. Waltham, MA-Toronto-London
-
M. Hall, Combinatorial theory, Blaisdell Publ., Waltham, MA-Toronto-London 1967.
-
(1967)
Combinatorial Theory
-
-
Hall, M.1
-
44
-
-
0003430191
-
-
Wiley-Interscience Ser. Discrete Math. Optim. Wiley, New York
-
N. Alon and J. H. Spencer, The probabilistic method, Wiley-Interscience Ser. Discrete Math. Optim., Wiley, New York 2000.
-
(2000)
The Probabilistic Method
-
-
Alon, N.1
Spencer, J.H.2
-
45
-
-
0004219960
-
-
Cambridge, Cambridge Univ. Press, Cambridge
-
B. Bollobas, Random graphs, Cambridge vol. 73, Cambridge Univ. Press, Cambridge 2001.
-
(2001)
Random Graphs
, vol.73
-
-
Bollobas, B.1
-
47
-
-
84888339736
-
On the clique and the chromatic numbers of high-dimensional distance graphs
-
Hindustan Book Agency, New Delhi
-
A. M. Raigorodskii and O. I. Rubanov, "On the clique and the chromatic numbers of high-dimensional distance graphs", Number theory and applications, Hindustan Book Agency, New Delhi 2009, pp. 149-155.
-
(2009)
Number Theory and Applications
, pp. 149-155
-
-
Raigorodskii, A.M.1
Rubanov, O.I.2
-
48
-
-
77954020616
-
Distance graphs with large chromatic number and without large cliques
-
A. M. Raigorodskii and O. I. Rubanov, "Distance graphs with large chromatic number and without large cliques", Mat. Zametki 87:3 (2010), 417-428.
-
(2010)
Mat. Zametki
, vol.87
, Issue.3
, pp. 417-428
-
-
Raigorodskii, A.M.1
Rubanov, O.I.2
-
49
-
-
77954020616
-
-
Math. Notes 87:3 (2010), 392-402.
-
(2010)
Math. Notes
, vol.87
, Issue.3
, pp. 392-402
-
-
-
52
-
-
79952909454
-
A lower bound for the chromatic number of the space RN with K forbidden distances and the L1 metric
-
Russian
-
A. M. Raigorodskii and M. I. Absalyamova, "A lower bound for the chromatic number of the space Rn with k forbidden distances and the L1 metric", Chebyshevskii Sb., 2006, no. 4, 105-112. (Russian).
-
(2006)
Chebyshevskii Sb
, Issue.4
, pp. 105-112
-
-
Raigorodskii, A.M.1
Absalyamova, M.I.2
|