-
1
-
-
34748818188
-
Exact solutions to linear programming problems
-
MR2361036
-
DL Applegate, W Cook, S Dash, DG Espinoza, Exact solutions to linear programming problems, Oper. Res. Lett. 35 (2007) 693-699 MR2361036
-
(2007)
Oper. Res. Lett.
, vol.35
, pp. 693-699
-
-
Applegate, D.L.1
Cook, W.2
Dash, S.3
Espinoza, D.G.4
-
2
-
-
0001541486
-
Uniqueness of certain spherical codes
-
MR617634
-
E Bannai, NJA Sloane, Uniqueness of certain spherical codes, Canad. J. Math. 33 (1981) 437-449 MR617634
-
(1981)
Canad. J. Math.
, vol.33
, pp. 437-449
-
-
Bannai, E.1
Sloane, N.J.A.2
-
4
-
-
0041816559
-
-
Technical Report ZN 71/77, Mathematisch Centrum, Amsterdam, Available at
-
MR Best, A[11,4,4]=35 or some new optimal constant weight codes, Technical Report ZN 71/77, Mathematisch Centrum, Amsterdam (1977) Available at http:// repository.cwi.nl/search/fullrecord.php?publnr=7433
-
(1977)
A[11,4,4]=35 or some new optimal constant weight codes
-
-
Best, M.R.1
-
5
-
-
83055192165
-
-
Technical Report ZW 112/78, Mathematisch Centrum, Amsterdam Available at
-
MR Best, Binary codes with minimum distance four, Technical Report ZW 112/78, Mathematisch Centrum, Amsterdam (1978) Available at http:// repository.cwi.nl/search/fullrecord.php?publnr=6831
-
(1978)
Binary codes with minimum distance four
-
-
Best, M.R.1
-
6
-
-
0019079806
-
Binary codes with a minimum distance of four
-
MR596287
-
MR Best, Binary codes with a minimum distance of four, IEEE Trans. Inform. Theory 26 (1980) 738-742 MR596287
-
(1980)
IEEE Trans. Inform. Theory
, vol.26
, pp. 738-742
-
-
Best, M.R.1
-
7
-
-
0032381565
-
Finite and uniform stability of sphere packings
-
MR1626699
-
A Bezdek, K Bezdek, R Connelly, Finite and uniform stability of sphere packings, Discrete Comput. Geom. 20 (1998) 111-130 MR1626699
-
(1998)
Discrete Comput. Geom.
, vol.20
, pp. 111-130
-
-
Bezdek, A.1
Bezdek, K.2
Connelly, R.3
-
8
-
-
33748430895
-
Finite packing and covering
-
Cambridge University Press, Cambridge MR2078625
-
K Böröczky, Jr, Finite packing and covering, Cambridge Tracts in Mathematics 154, Cambridge University Press, Cambridge (2004) MR2078625
-
(2004)
Cambridge Tracts in Mathematics
, vol.154
-
-
Böröczky Jr., K.1
-
9
-
-
83055175565
-
Order and disorder in energy minimization
-
from, Hindustan Book Agency, New Delhi, Hyderabad, August 19-27, 2010
-
H Cohn, Order and disorder in energy minimization, from: "Proceedings of the International Congress of Mathematicians, Hyderabad, August 19-27, 2010, Volume IV", Hindustan Book Agency, New Delhi (2010) 2416-2443
-
(2010)
Proceedings of the International Congress of Mathematicians
, pp. 2416-2443
-
-
Cohn, H.1
-
10
-
-
34250831282
-
Universally optimal distribution of points on spheres
-
MR2257398
-
H Cohn, A Kumar, Universally optimal distribution of points on spheres, J. Amer. Math. Soc. 20 (2007) 99-148 MR2257398
-
(2007)
J. Amer. Math. Soc.
, vol.20
, pp. 99-148
-
-
Cohn, H.1
Kumar, A.2
-
11
-
-
58149236836
-
Counterintuitive ground states in soft-core models
-
MR2546058
-
H Cohn, A Kumar, Counterintuitive ground states in soft-core models, Phys. Rev. E (3) 78 (2008) 061113:1-7 MR2546058
-
(2008)
Phys. Rev. E
, vol.78
, Issue.3
-
-
Cohn, H.1
Kumar, A.2
-
12
-
-
71649112588
-
Optimality and uniqueness of the Leech lattice among lattices
-
MR2600869
-
H Cohn, A Kumar, Optimality and uniqueness of the Leech lattice among lattices, Ann. of Math. (2) 170 (2009) 1003-1050 MR2600869
-
(2009)
Ann. of Math.
, vol.170
, Issue.2
, pp. 1003-1050
-
-
Cohn, H.1
Kumar, A.2
-
13
-
-
0011616507
-
The rigidity of certain cabled frameworks and the second-order rigidity of arbitrarily triangulated convex surfaces
-
MR591730
-
R Connelly, The rigidity of certain cabled frameworks and the second-order rigidity of arbitrarily triangulated convex surfaces, Adv. Math. 37 (1980) 272-299 MR591730
-
(1980)
Adv. Math.
, vol.37
, pp. 272-299
-
-
Connelly, R.1
-
14
-
-
51249167592
-
Higher-order rigidity-what is the proper definition?
-
MR1254089
-
R Connelly, H Servatius, Higher-order rigidity-what is the proper definition?, Discrete Comput. Geom. 11 (1994) 193-200 MR1254089
-
(1994)
Discrete Comput. Geom.
, vol.11
, pp. 193-200
-
-
Connelly, R.1
Servatius, H.2
-
15
-
-
0012966555
-
Laminated lattices
-
MR678483
-
JH Conway, NJA Sloane, Laminated lattices, Ann. of Math. (2) 116 (1982) 593-620 MR678483
-
(1982)
Ann. of Math.
, vol.116
, Issue.2
, pp. 593-620
-
-
Conway, J.H.1
Sloane, N.J.A.2
-
16
-
-
0020759419
-
The Coxeter-Todd lattice, the Mitchell group, and related sphere packings
-
MR698347
-
JH Conway, NJA Sloane, The Coxeter-Todd lattice, the Mitchell group, and related sphere packings, Math. Proc. Cambridge Philos. Soc. 93 (1983) 421-440 MR698347
-
(1983)
Math. Proc. Cambridge Philos. Soc.
, vol.93
, pp. 421-440
-
-
Conway, J.H.1
Sloane, N.J.A.2
-
17
-
-
0002202793
-
The cell structures of certain lattices
-
from, Springer, Berlin MR1131118
-
JH Conway, NJA Sloane, The cell structures of certain lattices, from: "Miscellanea mathematica", Springer, Berlin (1991) 71-107 MR1131118
-
(1991)
Miscellanea mathematica
, pp. 71-107
-
-
Conway, J.H.1
Sloane, N.J.A.2
-
18
-
-
51249169208
-
What are all the best sphere packings in low dimensions?
-
MR1318784
-
JH Conway, NJA Sloane, What are all the best sphere packings in low dimensions?, Discrete Comput. Geom. 13 (1995) 383-403 MR1318784
-
(1995)
Discrete Comput. Geom.
, vol.13
, pp. 383-403
-
-
Conway, J.H.1
Sloane, N.J.A.2
-
19
-
-
0003217113
-
Sphere packings, lattices and groups
-
third edition, Springer, New York MR1662447
-
JH Conway, NJA Sloane, Sphere packings, lattices and groups, third edition, Grundlehren der Mathematischen Wissenschaften 290, Springer, New York (1999) MR1662447
-
(1999)
Grundlehren der Mathematischen Wissenschaften
, vol.290
-
-
Conway, J.H.1
Sloane, N.J.A.2
-
21
-
-
2942555048
-
A linear programming algorithm to test for jamming in hard-sphere packings
-
MR2061244
-
A Donev, S Torquato, FH Stillinger, R Connelly, A linear programming algorithm to test for jamming in hard-sphere packings, J. Comput. Phys. 197 (2004) 139-166 MR2061244
-
(2004)
J. Comput. Phys.
, vol.197
, pp. 139-166
-
-
Donev, A.1
Torquato, S.2
Stillinger, F.H.3
Connelly, R.4
-
23
-
-
0031501911
-
Mordell-Weil lattices in characteristic 2 II: The Leech lattice as a Mordell-Weil lattice
-
MR1437492
-
ND Elkies, Mordell-Weil lattices in characteristic 2 II: The Leech lattice as a Mordell-Weil lattice, Invent. Math. 128 (1997) 1-8 MR1437492
-
(1997)
Invent. Math.
, vol.128
, pp. 1-8
-
-
Elkies, N.D.1
-
24
-
-
77950536865
-
Laminating lattices with symmetrical glue
-
MR2579702
-
V Elser, S Gravel, Laminating lattices with symmetrical glue, Discrete Comput. Geom. 43 (2010) 363-374 MR2579702
-
(2010)
Discrete Comput. Geom.
, vol.43
, pp. 363-374
-
-
Elser, V.1
Gravel, S.2
-
25
-
-
23644457767
-
d: Existence and uniqueness for Barnes-Wall and Ypsilanti lattices
-
MR2159298
-
d: existence and uniqueness for Barnes-Wall and Ypsilanti lattices, Adv. Math. 196 (2005) 147-192 MR2159298
-
(2005)
Adv. Math.
, vol.196
, pp. 147-192
-
-
Griess Jr., R.L.1
-
26
-
-
33947593179
-
d: Existence and uniqueness for Barnes-Wall and Ypsilanti lattices" [Adv. Math. 196 (2005) 147-192]
-
MR2323546
-
d: existence and uniqueness for Barnes-Wall and Ypsilanti lattices" [Adv. Math. 196 (2005) 147-192], Adv. Math. 211 (2007) 819-824 MR2323546
-
(2007)
Adv. Math.
, vol.211
, pp. 819-824
-
-
Griess Jr., R.L.1
-
27
-
-
1842805273
-
Five dimensional non-lattice sphere packings
-
MR0220170
-
J Leech, Five dimensional non-lattice sphere packings, Canad. Math. Bull. 10 (1967) 387-393 MR0220170
-
(1967)
Canad. Math. Bull.
, vol.10
, pp. 387-393
-
-
Leech, J.1
-
28
-
-
1842805273
-
Six and seven dimensional non-lattice sphere packings
-
MR0254746
-
J Leech, Six and seven dimensional non-lattice sphere packings, Canad. Math. Bull. 12 (1969) 151-155 MR0254746
-
(1969)
Canad. Math. Bull.
, vol.12
, pp. 151-155
-
-
Leech, J.1
-
29
-
-
0013474955
-
On bounds for packings in n-dimensional Euclidean space
-
MR529659 (Russian) English translation in Soviet Math. Dokl. 20 (1979) 417-421
-
VI Levenšteǐn, On bounds for packings in n-dimensional Euclidean space, Dokl. Akad. Nauk SSSR 245 (1979) 1299-1303 MR529659 (Russian) English translation in Soviet Math. Dokl. 20 (1979) 417-421
-
(1979)
Dokl. Akad. Nauk SSSR
, vol.245
, pp. 1299-1303
-
-
Levenšteǐn, V.I.1
-
30
-
-
70849109727
-
-
AMS Chelsea Publishing, Providence, RI MR2536865 Corrected reprint of the 1986 original
-
L Lovász, MD Plummer, Matching theory, AMS Chelsea Publishing, Providence, RI (2009) MR2536865 Corrected reprint of the 1986 original
-
(2009)
Matching theory
-
-
Lovász, L.1
Plummer, M.D.2
-
31
-
-
0003525990
-
-
North-Holland Mathematical Library 16, North-Holland Publishing Co., Amsterdam-New York-Oxford MR465509
-
F J MacWilliams, NJA Sloane, The Theory of Error-correcting Codes, North-Holland Mathematical Library 16, North-Holland Publishing Co., Amsterdam-New York-Oxford (1977) MR465509
-
(1977)
The Theory of Error-correcting Codes
-
-
McWilliams, F.J.1
Sloane, N.J.A.2
-
32
-
-
77957804705
-
High-accuracy semidefinite programming bounds for kissing numbers
-
MR2676746
-
HD Mittelmann, F Vallentin, High-accuracy semidefinite programming bounds for kissing numbers, Experiment. Math. 19 (2010) 175-179 MR2676746
-
(2010)
Experiment. Math.
, vol.19
, pp. 175-179
-
-
Mittelmann, H.D.1
Vallentin, F.2
-
33
-
-
0012965013
-
The dimensional family approach in (hyper)sphere packing: A typological study of new patterns, structures, and interdimensional functions
-
MR1473570
-
C Musès, The dimensional family approach in (hyper)sphere packing: a typological study of new patterns, structures, and interdimensional functions, Appl. Math. Comput. 88 (1997) 1-26 MR1473570
-
(1997)
Appl. Math. Comput.
, vol.88
, pp. 1-26
-
-
Musès, C.1
-
34
-
-
49749124954
-
The kissing number in four dimensions
-
MR2415397
-
OR Musin, The kissing number in four dimensions, Ann. of Math. (2) 168 (2008) 1-32 MR2415397
-
(2008)
Ann. of Math.
, vol.168
, Issue.2
, pp. 1-32
-
-
Musin, O.R.1
-
36
-
-
0001179224
-
New bounds on the number of unit spheres that can touch a unit sphere in n dimensions
-
MR530296
-
AM Odlyzko, NJA Sloane, New bounds on the number of unit spheres that can touch a unit sphere in n dimensions, J. Combin. Theory Ser. A 26 (1979) 210-214 MR530296
-
(1979)
J. Combin. Theory Ser. A
, vol.26
, pp. 210-214
-
-
Odlyzko, A.M.1
Sloane, N.J.A.2
-
37
-
-
77954586381
-
Classification of binary constant weight codes
-
MR2752466
-
PRJ Östergård, Classification of binary constant weight codes, IEEE Trans. Inform. Theory 56 (2010) 3779-3785 MR2752466
-
(2010)
IEEE Trans. Inform. Theory
, vol.56
, pp. 3779-3785
-
-
Östergård, P.R.J.1
-
39
-
-
34250943898
-
Das Problem der dreizehn Kugeln
-
MR0053537
-
K Schütte, B L van der Waerden, Das Problem der dreizehn Kugeln, Math. Ann. 125 (1953) 325-334 MR0053537
-
(1953)
Math. Ann.
, vol.125
, pp. 325-334
-
-
Schütte, K.1
van der Waerden, B.L.2
-
40
-
-
83055192161
-
The Delsarte method in the problem of the contact numbers of Euclidean spaces of high dimensions
-
MR2068195
-
DV Shtrom, The Delsarte method in the problem of the contact numbers of Euclidean spaces of high dimensions, Proc. Steklov Inst. Math. (2002) supplement 2, S162-S189 MR2068195
-
(2002)
Proc. Steklov Inst. Math.
, Issue.SUPPL. 2
-
-
Shtrom, D.V.1
-
41
-
-
84976184557
-
Improved packing of equal circles on a sphere and rigidity of its graph
-
MR691989
-
T Tarnai, Zs Gáspár, Improved packing of equal circles on a sphere and rigidity of its graph, Math. Proc. Cambridge Philos. Soc. 93 (1983) 191-218 MR691989
-
(1983)
Math. Proc. Cambridge Philos. Soc.
, vol.93
, pp. 191-218
-
-
Tarnai, T.1
Gáspár, Z.2
-
42
-
-
0003431753
-
-
second edition, University of California Press, Berkeley and Los Angeles, CA MR0044472
-
A Tarski, A decision method for elementary algebra and geometry, second edition, University of California Press, Berkeley and Los Angeles, CA (1951) MR0044472
-
(1951)
A decision method for elementary algebra and geometry
-
-
Tarski, A.1
-
43
-
-
0035969728
-
Multiplicity of generating, selection, and classification procedures for jammed hard-particle packings
-
S Torquato, FH Stillinger, Multiplicity of generating, selection, and classification procedures for jammed hard-particle packings, J. Phys. Chem. B 105 (2001) 11849-11853
-
(2001)
J. Phys. Chem. B
, vol.105
, pp. 11849-11853
-
-
Torquato, S.1
Stillinger, F.H.2
-
44
-
-
78650713075
-
Jammed hard-particle packings: From Kepler to Bernal and beyond
-
S Torquato, FH Stillinger, Jammed hard-particle packings: from Kepler to Bernal and beyond, Rev. Modern Phys. 82 (2010) 2633-2672
-
(2010)
Rev. Modern Phys.
, vol.82
, pp. 2633-2672
-
-
Torquato, S.1
Stillinger, F.H.2
-
45
-
-
0003653686
-
The number of minimum points of a positive quadratic form
-
MR0318061
-
GL Watson, The number of minimum points of a positive quadratic form, Dissertationes Math. (Rozprawy Mat.) 84 (1971) MR0318061
-
(1971)
Dissertationes Math. (Rozprawy Mat.)
, vol.84
-
-
Watson, G.L.1
-
46
-
-
85053955826
-
New lower bounds for contact numbers in small dimensions
-
MR1737742 (Russian) English translation in Problems Inform. Transmission 35 (1999) 287-294
-
VA Zinoviev, T Ericson, New lower bounds for contact numbers in small dimensions, Problemy Peredachi Informatsii 35 (1999) 3-11 MR1737742 (Russian) English translation in Problems Inform. Transmission 35 (1999) 287-294
-
(1999)
Problemy Peredachi Informatsii
, vol.35
, pp. 3-11
-
-
Zinoviev, V.A.1
Ericson, T.2
|