-
1
-
-
0001320722
-
Drei sätze über die n-dimensionale euklidische sphäre
-
K. Borsuk, "Drei Sätze über die n-dimensionale Euklidische Sphäre", Fundam. Math. 20 (1933), 177-190.
-
(1933)
Fundam. Math.
, vol.20
, pp. 177-190
-
-
Borsuk, K.1
-
2
-
-
0001751998
-
Helly's theorem and its relatives
-
Amer. Math. Soc., Providence; Russian transl., Mir, Moscow
-
L. Danzer, B. Grünbaum, and V. Klee, "Helly's theorem and its relatives", Proc. Symp. Pure Math., vol. 7, Amer. Math. Soc., Providence 1963, pp. 101-180; Russian transl., Mir, Moscow 1968.
-
(1963)
Proc. Symp. Pure Math.
, vol.7
, pp. 101-180
-
-
Danzer, L.1
Grünbaum, B.2
Klee, V.3
-
3
-
-
0040740632
-
-
Monographies de L'Enseignement Math., Institute de Math., Genève; English transl., Holt, Reinhart and Winston, 1964; Russian transl., Nauka, Moscow
-
H. Hadwiger and H. Debrunner, Kombinatorische Geometrie in der Ebene, Monographies de L'Enseignement Math., no. 2, Institute de Math., Genève 1960; English transl., Holt, Reinhart and Winston, 1964; Russian transl., Nauka, Moscow 1965.
-
(1960)
Kombinatorische Geometrie in der Ebene
, vol.2
-
-
Hadwiger, H.1
Debrunner, H.2
-
4
-
-
25444498476
-
Über die bedeckung ebener punktmengen durch solche kleineren durchmessers
-
H. Lenz, "Über die Bedeckung ebener Punktmengen durch solche kleineren Durchmessers", Arch. Math. 4 (1956), 34-40.
-
(1956)
Arch. Math.
, vol.4
, pp. 34-40
-
-
Lenz, H.1
-
6
-
-
0004296760
-
-
Nauka, Moscow; English transl., Cambridge Univ. Press, Cambridge
-
V. G. Boltyanski and I. Ts. Gokhberg, Results and problems in combinatorial geometry, Nauka, Moscow 1965; English transl., Cambridge Univ. Press, Cambridge 1985.
-
(1965)
Results and Problems in Combinatorial Geometry
-
-
Boltyanski, V.G.1
Gokhberg, I.Ts.2
-
8
-
-
51249195232
-
Überdeckung einer menge durch mengen kleineren durchmessers
-
H. Hadwiger, "Überdeckung einer Menge durch Mengen kleineren Durchmessers", Comm. Math. Helv. 18 (1945/46), 73-75;
-
(1945)
Comm. Math. Helv.
, vol.18
, pp. 73-75
-
-
Hadwiger, H.1
-
9
-
-
51249192944
-
Mitteilung betreffend meine note: Überdeckung einer menge durch mengen kleineren durchmessers
-
"Mitteilung betreffend meine Note: Überdeckung einer Menge durch Mengen kleineren Durchmessers", Comm. Math. Helv. 19 (1946/47), 72-73.
-
(1946)
Comm. Math. Helv.
, vol.19
, pp. 72-73
-
-
-
10
-
-
84967774552
-
A counterexample to Borsuk's conjecture
-
J. Kahn and G. Kalai, "A counterexample to Borsuk's conjecture", Bull. Amer. Math. Soc. 29:1 (1993), 60-62.
-
(1993)
Bull. Amer. Math. Soc.
, vol.29
, Issue.1
, pp. 60-62
-
-
Kahn, J.1
Kalai, G.2
-
11
-
-
0033462933
-
On a bound in Borsuk's problem
-
A. M. Raigorodskii, "On a bound in Borsuk's problem", Uspekhi Mat. Nauk 54:2 (1999), 185-186;
-
(1999)
Uspekhi Mat. Nauk
, vol.54
, Issue.2
, pp. 185-186
-
-
Raigorodskii, A.M.1
-
12
-
-
0033462933
-
-
English transl.
-
English transl., Russian Math. Surveys 54 (1999), 453-454.
-
(1999)
Russian Math. Surveys
, vol.54
, pp. 453-454
-
-
-
13
-
-
84971146089
-
Covering a sphere with spheres
-
C. A. Rogers, "Covering a sphere with spheres", Mathematika 10 (1963), 157-164.
-
(1963)
Mathematika
, vol.10
, pp. 157-164
-
-
Rogers, C.A.1
-
14
-
-
84971761881
-
Illuminating sets of constant width
-
O. Schramm, "Illuminating sets of constant width", Mathematika 35 (1988), 180-189.
-
(1988)
Mathematika
, vol.35
, pp. 180-189
-
-
Schramm, O.1
-
15
-
-
0001574571
-
d by balls of the same diameter
-
(J. Lindenstrauss and V. Milman, eds.), Lecture Notes in Math., no. 1469, Springer-Verlag, Berlin
-
d by balls of the same diameter". Geometric aspects of functional analysis (J. Lindenstrauss and V. Milman, eds.), Lecture Notes in Math., no. 1469, Springer-Verlag, Berlin 1991, pp. 138-144.
-
(1991)
Geometric Aspects of Functional Analysis
, pp. 138-144
-
-
Bourgain, J.1
Lindenstrauss, J.2
-
16
-
-
85018485710
-
The Borsuk problem and the chromatic numbers of some metric spaces
-
A. M. Raigorodskii, "The Borsuk 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. 107146
-
-
Raigorodskii, A.M.1
-
20
-
-
0012890893
-
On the chromatic number of cube-like graphs
-
C. Payan, "On the chromatic number of cube-like graphs", Discrete Math. 103 (1992), 271-277.
-
(1992)
Discrete Math.
, vol.103
, pp. 271-277
-
-
Payan, C.1
-
21
-
-
0000009985
-
Coloring Hamming graphs, optimal binary codes, and the 0/1-Borsuk problem in low dimensions
-
G. M. Ziegler, "Coloring Hamming graphs, optimal binary codes, and the 0/1-Borsuk problem in low dimensions", Lect. Notes Comput. Sci. 2122 (2001), 159-171.
-
(2001)
Lect. Notes Comput. Sci.
, vol.2122
, pp. 159-171
-
-
Ziegler, G.M.1
-
22
-
-
0007121202
-
Lectures on 0/1-polytopes
-
(G. Kalai and G. M. Ziegler, eds.), DMV-seminar 29, Birkhäuser- Verlag, Basel
-
G. M. Ziegler, "Lectures on 0/1-polytopes", Polytopes-combinatorics and computation (G. Kalai and G. M. Ziegler, eds.), DMV-seminar 29, Birkhäuser-Verlag, Basel 2000, pp. 1-44.
-
(2000)
Polytopes-combinatorics and Computation
, pp. 1-44
-
-
Ziegler, G.M.1
-
23
-
-
0000059891
-
The Borsuk problem for (0, 1)-polyhedra and cross-polytopes
-
A. M. Raigorodskii, "The Borsuk problem for (0, 1)-polyhedra and cross-polytopes", Dokl. Ross. Akad. Nauk 371 (2000), 600-603;
-
(2000)
Dokl. Ross. Akad. Nauk
, vol.371
, pp. 600-603
-
-
Raigorodskii, A.M.1
-
24
-
-
85164640742
-
-
English transl.
-
English transl., Dokl. Math. 65 (2000), 256-259.
-
(2000)
Dokl. Math.
, vol.65
, pp. 256-259
-
-
-
25
-
-
0036422050
-
The Borsuk problem for (0, 1)-polytopes and cross-polytopes
-
A. M. Raigorodskii, "The Borsuk problem for (0, 1)-polytopes and cross-polytopes", Dokl. Ross. Akad. Nauk 384 (2002), 593-597;
-
(2002)
Dokl. Ross. Akad. Nauk
, vol.384
, pp. 593-597
-
-
Raigorodskii, A.M.1
-
26
-
-
0036579396
-
-
English transl.
-
English transl., Dokl. Math. 65 (2002), 413-416.
-
(2002)
Dokl. Math.
, vol.65
, pp. 413-416
-
-
-
27
-
-
0036767848
-
The Borsuk problem for integral polytopes
-
A. M. Raigorodskii, "The Borsuk problem for integral polytopes", Mat. Sb. 193:10 (2002), 139-160;
-
(2002)
Mat. Sb.
, vol.193
, Issue.10
, pp. 139-160
-
-
Raigorodskii, A.M.1
-
28
-
-
0036767848
-
-
English transl.
-
English transl., Sb. Math. 193 (2002), 1535-1556.
-
(2002)
Sb. Math.
, vol.193
, pp. 1535-1556
-
-
-
29
-
-
0345548662
-
The problems of Borsuk, Hadwiger, and Grünbaum for some classes of polytopes and graphs
-
A. M. Raigorodskii, "The problems of Borsuk, Hadwiger, and Grünbaum for some classes of polytopes and graphs", Dokl. Ross. Akad. Nauk 388 (2003), 738-742;
-
(2003)
Dokl. Ross. Akad. Nauk
, vol.388
, pp. 738-742
-
-
Raigorodskii, A.M.1
-
30
-
-
27444440011
-
-
English transl.
-
English transl., Dokl. Math. 67 (2003), 85-89.
-
(2003)
Dokl. Math.
, vol.67
, pp. 85-89
-
-
-
31
-
-
33645451320
-
-
London Math. Soc. Lect. Note Series, Cambridge Univ. Press, Cambridge
-
A. M. Raigorodskii, The Borsuk partition problem, London Math. Soc. Lect. Note Series, Cambridge Univ. Press, Cambridge 2005.
-
(2005)
The Borsuk Partition Problem
-
-
Raigorodskii, A.M.1
-
32
-
-
33645457243
-
On the problem of optimal covering of a set by balls
-
Russian
-
A. M. Raigorodskii, "On the problem of optimal covering of a set by balls", Chebyshev Sbornik 3:2 (2002), 100-106. (Russian)
-
(2002)
Chebyshev Sbornik
, vol.3
, Issue.2
, pp. 100-106
-
-
Raigorodskii, A.M.1
-
33
-
-
0012792392
-
Matroidal bijections between graphs
-
N. Linial, R. Meshulam, and M. Tarsi, "Matroidal bijections between graphs", J. Combin. Theory Ser. B 45:1 (1988), 31-44.
-
(1988)
J. Combin. Theory Ser. B
, vol.45
, Issue.1
, pp. 31-44
-
-
Linial, N.1
Meshulam, R.2
Tarsi, M.3
-
34
-
-
0000126770
-
Systems of common representatives
-
Russian
-
A. M. Raigorodskii, "Systems of common representatives", Fundam. Prikl. Mat. 5 (1999), 851-860. (Russian)
-
(1999)
Fundam. Prikl. Mat.
, vol.5
, pp. 851-860
-
-
Raigorodskii, A.M.1
-
35
-
-
0002818116
-
Asymptotic investigation of the set covering problem
-
Russian
-
N. N. Kuzyurin, "Asymptotic investigation of the set covering problem", Probl. Kibernet. 1980, no. 37, 19-56. (Russian)
-
Probl. Kibernet.
, vol.1980
, Issue.37
, pp. 19-56
-
-
Kuzyurin, N.N.1
-
36
-
-
0001263144
-
An extremal problem in graph theory
-
Hungarian
-
P. Turán, "An extremal problem in graph theory", Mat. Fiz. Lapok 48 (1941), 436-452. (Hungarian)
-
(1941)
Mat. Fiz. Lapok
, vol.48
, pp. 436-452
-
-
Turán, P.1
-
37
-
-
0001161561
-
On a graph problem of Turán
-
Hungarian
-
G. Katona, T. Nemetz, and M. Simonovitz, "On a graph problem of Turán", Mat. Lapok 15 (1964), 228-238. (Hungarian)
-
(1964)
Mat. Lapok
, vol.15
, pp. 228-238
-
-
Katona, G.1
Nemetz, T.2
Simonovitz, M.3
-
38
-
-
0000158861
-
Turán's type problems
-
(A. D. Keedwell, ed.), Cambridge Univ. Press, Cambridge
-
Z. Füredi, "Turán's type problems", Surveys in Combinatorics Proc. of the 13th British Combin. Conference (A. D. Keedwell, ed.), Cambridge Univ. Press, Cambridge 1991, pp. 253-300.
-
(1991)
Surveys in Combinatorics Proc. of the 13th British Combin. Conference
, pp. 253-300
-
-
Füredi, Z.1
-
39
-
-
0032220826
-
The defects of admissible balls and octahedra in a lattice, and systems of common representatives
-
A. M. Raigorodskii, "The defects of admissible balls and octahedra in a lattice, and systems of common representatives", Mat. Sb. 189:6 (1998), 117-141;
-
(1998)
Mat. Sb.
, vol.189
, Issue.6
, pp. 117-141
-
-
Raigorodskii, A.M.1
-
40
-
-
0032220826
-
-
English transl.
-
English transl., Sb. Math. 189 (1998), 931-954.
-
(1998)
Sb. Math.
, vol.189
, pp. 931-954
-
-
-
43
-
-
0003643241
-
-
Springer-Verlag, New York; Russian transl., Mir, Moscow
-
J. H. Conway and N. J. A. Sloane, Sphere packings, lattices and groups, Springer-Verlag, New York 1988; Russian transl., Mir, Moscow 1990.
-
(1988)
Sphere Packings, Lattices and Groups
-
-
Conway, J.H.1
Sloane, N.J.A.2
-
44
-
-
0004279601
-
-
Cambridge Univ. Press, Cambridge; Russian transl., Mir, Moscow
-
K. Rogers, Packing and covering, Cambridge Univ. Press, Cambridge 1964; Russian transl., Mir, Moscow 1968.
-
(1964)
Packing and Covering
-
-
Rogers, K.1
|