-
1
-
-
79251502748
-
On bar frameworks, stress matrices and semidefinite programming
-
A. Y. Alfakih, On bar frameworks, stress matrices and semidefinite programming, Math. Program., to appear.
-
Math. Program., to Appear
-
-
Alfakih, A.Y.1
-
2
-
-
79251488284
-
On the universal rigidity of generic bar frameworks
-
A. Y. Alfakih, On the universal rigidity of generic bar frameworks, Contrib. Discrete Math., 5 (2010), pp. 7-17.
-
Contrib. Discrete Math.
, vol.5
, Issue.2010
, pp. 7-17
-
-
Alfakih, A.Y.1
-
3
-
-
33750831866
-
A theory of network localization
-
J. Aspnes, T. Eren, D. K. Goldenberg, A. S. Morse, W. Whiteley, Y. R. Yang, B. D. O. Anderson, and P. N. Belhumeur, A theory of network localization, IEEE Trans. Mob. Comput., 5 (2006), pp. 1663-1678.
-
(2006)
IEEE Trans. Mob. Comput.
, vol.5
, pp. 1663-1678
-
-
Aspnes, J.1
Eren, T.2
Goldenberg, D.K.3
Morse, A.S.4
Whiteley, W.5
Yang, Y.R.6
Anderson, B.D.O.7
Belhumeur, P.N.8
-
4
-
-
35048871074
-
On the computational complexity of sensor network localization
-
Proceedings of the 1st International Workshop on Algorithmic Aspects of Wireless Sensor Networks (ALGOSENSORS 2004), S. Nikoletseas and J. D. P. Rolim, eds. Springer-Verlag, Berlin
-
J. Aspnes, D. Goldenberg, and Y. R. Yang, On the computational complexity of sensor network localization, in Proceedings of the 1st International Workshop on Algorithmic Aspects of Wireless Sensor Networks (ALGOSENSORS 2004), Lecture Notes in Comput. Sci. 3121, S. Nikoletseas and J. D. P. Rolim, eds., Springer-Verlag, Berlin, 2004, pp. 32-44.
-
(2004)
Lecture Notes in Comput. Sci.
, vol.3121
, pp. 32-44
-
-
Aspnes, J.1
Goldenberg, D.2
Yang, Y.R.3
-
5
-
-
33750352586
-
Low-dimensional embedding with extra information
-
M. Bǎdoiu, E. D. Demaine, M. Hajiaghayi, and P. Indyk, Low-dimensional embedding with extra information, Discrete Comput. Geom., 36 (2006), pp. 609-632.
-
(2006)
Discrete Comput. Geom.
, vol.36
, pp. 609-632
-
-
Bǎdoiu, M.1
Demaine, E.D.2
Hajiaghayi, M.3
Indyk, P.4
-
6
-
-
33748064362
-
Distributed localization using noisy distance and angle information
-
A. Basu, J. Gao, J. S. B. Mitchell, and G. Sabhnani, Distributed localization using noisy distance and angle information, in Proceedings of the 7th ACM International Symposium on Mobile Ad Hoc Networking and Computing (MobiHoc 2006), 2006, pp. 262-273.
-
(2006)
Proceedings of the 7th ACM International Symposium on Mobile Ad Hoc Networking and Computing (MobiHoc 2006)
, pp. 262-273
-
-
Basu, A.1
Gao, J.2
Mitchell, J.S.B.3
Sabhnani, G.4
-
8
-
-
33746874045
-
Semidefinite programming based algorithms for sensor network localization
-
P. Biswas, T.-C. Lian, T.-C. Wang, and Y. Ye, Semidefinite programming based algorithms for sensor network localization, ACM Trans. Sensor Networks, 2 (2006), pp. 188-220.
-
(2006)
ACM Trans. Sensor Networks
, vol.2
, pp. 188-220
-
-
Biswas, P.1
Lian, T.-C.2
Wang, T.-C.3
Ye, Y.4
-
9
-
-
55549138762
-
A distributed SDP approach for large-scale noisy anchorfree graph realization with applications to molecular conformation
-
P. Biswas, K.-C. Toh, and Y. Ye, A distributed SDP approach for large-scale noisy anchorfree graph realization with applications to molecular conformation, SIAM J. Sci. Comput., 30 (2008), pp. 1251-1277.
-
(2008)
SIAM J. Sci. Comput.
, vol.30
, pp. 1251-1277
-
-
Biswas, P.1
Toh, K.-C.2
Ye, Y.3
-
11
-
-
34547494898
-
A distributed method for solving semidefinite programs arising from ad hoc wireless sensor network localization
-
W. W. Hager, S.-J. Huang, P. M. Pardalos, and O. A. Prokopyev, eds. Springer, New York
-
P. Biswas and Y. Ye, A distributed method for solving semidefinite programs arising from ad hoc wireless sensor network localization, in Multiscale Optimization Methods and Applications, Nonconvex Optim. Appl. 82, W. W. Hager, S.-J. Huang, P. M. Pardalos, and O. A. Prokopyev, eds., Springer, New York, 2006, pp. 69-84.
-
(2006)
Multiscale Optimization Methods and Applications, Nonconvex Optim. Appl.
, vol.82
, pp. 69-84
-
-
Biswas, P.1
Ye, Y.2
-
12
-
-
60449108285
-
Localization and routing in sensor networks by local angle information
-
article 7
-
J. Bruck, J. Gao, and A. A. Jiang, Localization and routing in sensor networks by local angle information, ACM Trans. Sensor Networks, 5 (2009), article 7.
-
(2009)
ACM Trans. Sensor Networks
, vol.5
-
-
Bruck, J.1
Gao, J.2
Jiang, A.A.3
-
13
-
-
0034291601
-
GPS-less low-cost outdoor localization for very small devices
-
N. Bulusu, J. Heidemann, and D. Estrin, GPS-less low-cost outdoor localization for very small devices, IEEE Pers. Commun., 7 (2000), pp. 28-34.
-
(2000)
IEEE Pers. Commun.
, vol.7
, pp. 28-34
-
-
Bulusu, N.1
Heidemann, J.2
Estrin, D.3
-
14
-
-
34547494277
-
SPASELOC: An adaptive subproblem algorithm for scalable wireless sensor network localization
-
M.W. Carter, H. H. Jin, M. A. Saunders, and Y. Ye, SPASELOC: An adaptive subproblem algorithm for scalable wireless sensor network localization, SIAM J. Optim., 17 (2006), pp. 1102-1128.
-
(2006)
SIAM J. Optim.
, vol.17
, pp. 1102-1128
-
-
Carter, M.W.1
Jin, H.H.2
Saunders, M.A.3
Ye, Y.4
-
15
-
-
0012166973
-
Tensegrity structures: Why are they stable?
-
M. F. Thorpe and P. M. Duxbury, eds., Kluwer Academic/Plenum Publishers, New York
-
R. Connelly, Tensegrity structures: Why are they stable?, in Rigidity Theory and Applications, Fundamental Materials Research, M. F. Thorpe and P. M. Duxbury, eds., Kluwer Academic/Plenum Publishers, New York, 1999, pp. 47-54.
-
(1999)
Rigidity Theory and Applications, Fundamental Materials Research
, pp. 47-54
-
-
Connelly, R.1
-
16
-
-
17444406687
-
Generic global rigidity
-
R. Connelly, Generic global rigidity, Discrete Comput. Geom., 33 (2005), pp. 549-563.
-
(2005)
Discrete Comput. Geom.
, vol.33
, pp. 549-563
-
-
Connelly, R.1
-
17
-
-
0003839479
-
Distance geometry and molecular onformation
-
Research Studies Press Ltd., Taunton, Somerset, England
-
G. M. Crippen and T. F. Havel, Distance Geometry and Molecular onformation, Chemometrics Series 15, Research Studies Press Ltd., Taunton, Somerset, England, 1988.
-
(1988)
Chemometrics Series
, vol.15
-
-
Crippen, G.M.1
Havel, T.F.2
-
19
-
-
0035013232
-
Convex position estimation in wireless sensor networks
-
L. Doherty, K. S. J. Pister, and L. El Ghaoui, Convex position estimation in wireless sensor networks, in Proceedings of the 20th Annual Joint Conference of the IEEE Computer and Communications Societies (INFOCOM 2001), Vol. 3, 2001, pp. 1655-1663.
-
(2001)
Proceedings of the 20th Annual Joint Conference of the IEEE Computer and Communications Societies (INFOCOM 2001)
, vol.3
, pp. 1655-1663
-
-
Doherty, L.1
Pister, K.S.J.2
El Ghaoui, L.3
-
20
-
-
0035238840
-
Exploiting sparsity in semidefinite programming via matrix completion I: General framework
-
M. Fukuda, M. Kojima, K. Murota, and K. Nakata, Exploiting sparsity in semidefinite programming via matrix completion I: General framework, SIAM J. Optim., 11 (2000), pp. 647-674.
-
(2000)
SIAM J. Optim.
, vol.11
, pp. 647-674
-
-
Fukuda, M.1
Kojima, M.2
Murota, K.3
Nakata, K.4
-
21
-
-
77955871459
-
Characterizing generic global rigidity
-
S. J. Gortler, A. D. Healy, and D. P. Thurston, Characterizing generic global rigidity, Amer. J. Math., 132 (2010), pp. 897-939.
-
Amer. J. Math.
, vol.132
, Issue.2010
, pp. 897-939
-
-
Gortler, S.J.1
Healy, A.D.2
Thurston, D.P.3
-
22
-
-
79251522290
-
Characterizing the universal rigidity of generic frameworks
-
S. J. Gortler and D. P. Thurston, Characterizing the Universal Rigidity of Generic Frameworks, preprint, 2009.
-
(2009)
Preprint
-
-
Gortler, S.J.1
Thurston, D.P.2
-
23
-
-
0003338073
-
Combinatorial rigidity
-
American Mathematical Society, Providence, RI
-
J. Graver, B. Servatius, and H. Servatius, Combinatorial Rigidity, Grad. Stud. Math. 2, American Mathematical Society, Providence, RI, 1993.
-
(1993)
Grad. Stud. Math.
, vol.2
-
-
Graver, J.1
Servatius, B.2
Servatius, H.3
-
24
-
-
0013558430
-
The molecule problem: Exploiting structure in global optimization
-
B. Hendrickson, The molecule problem: Exploiting structure in global optimization, SIAM J. Optim., 5 (1995), pp. 835-857.
-
(1995)
SIAM J. Optim.
, vol.5
, pp. 835-857
-
-
Hendrickson, B.1
-
25
-
-
15444370051
-
Connected rigidity matroids and unique realizations of graphs
-
B. Jackson and T. Jordán, Connected rigidity matroids and unique realizations of graphs, J. Combin. Theory Ser. B, 94 (2005), pp. 1-29.
-
(2005)
J. Combin. Theory Ser. B
, vol.94
, pp. 1-29
-
-
Jackson, B.1
Jordán, T.2
-
26
-
-
79251523296
-
Exploiting sparsity in linear and nonlinear matrix inequalities via positive semidefinite matrix completion
-
S. Kim, M. Kojima, M. Mevissen, and M. Yamashita, Exploiting sparsity in linear and nonlinear matrix inequalities via positive semidefinite matrix completion, Math. Program., to appear.
-
Math. Program., to Appear
-
-
Kim, S.1
Kojima, M.2
Mevissen, M.3
Yamashita, M.4
-
27
-
-
70450210946
-
Exploiting sparsity in SDP relaxation for sensor network localization
-
S. Kim, M. Kojima, and H. Waki, Exploiting sparsity in SDP relaxation for sensor network localization, SIAM J. Optim., 20 (2009), pp. 192-215.
-
(2009)
SIAM J. Optim.
, vol.20
, pp. 192-215
-
-
Kim, S.1
Kojima, M.2
Waki, H.3
-
28
-
-
77956091432
-
Explicit sensor network localization using semidefinite representations and facial reductions
-
N. Krislock and H. Wolkowicz, Explicit sensor network localization using semidefinite representations and facial reductions, SIAM J. Optim., 20 (2010), pp. 2679-2708.
-
SIAM J. Optim.
, vol.20
, Issue.2010
, pp. 2679-2708
-
-
Krislock, N.1
Wolkowicz, H.2
-
31
-
-
67349132549
-
Of squares method for sensor network localization
-
J. Nie, Sum of squares method for sensor network localization, Comput. Optim. Appl., 43 (2006), pp. 151-179.
-
(2006)
Comput. Optim. Appl.
, vol.43
, pp. 151-179
-
-
Nie, J.1
-
32
-
-
0002702652
-
Embeddability of weighted graphs in k-space is strongly NP-hard
-
Proceedings of the 17th Allerton Conference in Communication
-
J. B. Saxe, Embeddability of weighted graphs in k-space is strongly NP-hard, in Proceedings of the 17th Allerton Conference in Communication, Control, and Computing, 1979, pp. 480- 489.
-
(1979)
Control, and Computing
, pp. 480-489
-
-
Saxe, J.B.1
-
33
-
-
79251470550
-
-
Ph.D. thesis, Computer Science Department, Stanford University, Stanford, CA
-
A. M.-C. So, A Semidefinite Programming Approach to the Graph Realization Problem: Theory, Applications and Extensions, Ph.D. thesis, Computer Science Department, Stanford University, Stanford, CA, 2007.
-
(2007)
A Semidefinite Programming Approach to the Graph Realization Problem: Theory, Applications and Extensions
-
-
So, A.M.-C.1
-
35
-
-
33846661142
-
Theory of semidefinite programming for sensor network localization
-
A. M.-C. So and Y. Ye, Theory of semidefinite programming for sensor network localization, Math. Program., 109 (2007), pp. 367-384.
-
(2007)
Math. Program.
, vol.109
, pp. 367-384
-
-
So, A.M.-C.1
Ye, Y.2
-
36
-
-
0033296299
-
Using SeDuMi 1. 02 , a MATLAB toolbox for optimization over symmetric cones
-
J. F. Sturm, Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric cones, Optim. Methods Softw., 11 (1999), pp. 625-653.
-
(1999)
Optim. Methods Softw.
, vol.11
, pp. 625-653
-
-
Sturm, J.F.1
-
37
-
-
39449085876
-
Second-order cone programming relaxation of sensor network localization
-
P. Tseng, Second-order cone programming relaxation of sensor network localization, SIAM J. Optim., 18 (2007), pp. 156-185.
-
(2007)
SIAM J. Optim.
, vol.18
, pp. 156-185
-
-
Tseng, P.1
-
38
-
-
0030106462
-
Semidefinite programming
-
L. Vandenberghe and S. Boyd, Semidefinite programming, SIAM Rev., 38 (1996), pp. 49-95.
-
(1996)
SIAM Rev.
, vol.38
, pp. 49-95
-
-
Vandenberghe, L.1
Boyd, S.2
-
39
-
-
33847158335
-
Sums of squares and semidefinite program relaxations for polynomial optimization problems with structured sparsity
-
H. Waki, S. Kim, M. Kojima, and M. Muramatsu, Sums of squares and semidefinite program relaxations for polynomial optimization problems with structured sparsity, SIAM J. Optim., 17 (2006), pp. 218-242.
-
(2006)
SIAM J. Optim.
, vol.17
, pp. 218-242
-
-
Waki, H.1
Kim, S.2
Kojima, M.3
Muramatsu, M.4
-
40
-
-
60549085200
-
Further relaxations of the semidefinite programming approach to sensor network localization
-
Z. Wang, S. Zheng, Y. Ye, and S. Boyd, Further relaxations of the semidefinite programming approach to sensor network localization, SIAM J. Optim., 19 (2008), pp. 655-673.
-
(2008)
SIAM J. Optim.
, vol.19
, pp. 655-673
-
-
Wang, Z.1
Zheng, S.2
Ye, Y.3
Boyd, S.4
-
41
-
-
70349677485
-
Beyond trilateration: On the localizability of wireless ad hoc networks
-
Z. Yang, Y. Liu, and X.-Y. Li, Beyond trilateration: On the localizability of wireless ad hoc networks, in Proceedings of the 28th Conference on Computer Communications (INFOCOM 2009), 2009, pp. 2392-2400.
-
(2009)
Proceedings of the 28th Conference on Computer Communications (INFOCOM 2009)
, pp. 2392-2400
-
-
Yang, Z.1
Liu, Y.2
Li, X.-Y.3
|