-
1
-
-
33644913373
-
Localized protocols for ad hoc clustering and backbone formation: A performance comparison
-
Basagni, S., Mastrogiovanni, M., Panconesi, A., and Petrioli, C., Localized protocols for ad hoc clustering and backbone formation: A performance comparison, IEEE Trans. on Parallel and Dist. Systems, 17(4), 292, 2006.
-
(2006)
IEEE Trans. on Parallel and Dist. Systems
, vol.17
, Issue.4
, pp. 292
-
-
Basagni, S.1
Mastrogiovanni, M.2
Panconesi, A.3
Petrioli, C.4
-
2
-
-
0032107972
-
Primal-dual RNC approximation algorithms for set cover and covering integer programs
-
(electronic)
-
Rajagopalan, S. and Vazirani, V. V., Primal-dual RNC approximation algorithms for set cover and covering integer programs, SIAM J. Comput., 28(2), 525(electronic), 1999.
-
(1999)
SIAM J. Comput.
, vol.28
, Issue.2
, pp. 525
-
-
Rajagopalan, S.1
Vazirani, V.V.2
-
4
-
-
0003895164
-
-
Springer, Berlin
-
Ausiello, G., Crescenzi, P., Gambosi, G., Kann, V., Marchetti-Spaccamela, A., and Protasi, M., Complexity and Approximation, Springer, Berlin, 1999.
-
(1999)
Complexity and Approximation
-
-
Ausiello, G.1
Crescenzi, P.2
Gambosi, G.3
Kann, V.4
Marchetti-Spaccamela, A.5
Protasi, M.6
-
5
-
-
0030714232
-
A sub-constant error-probability low-degree test, and a sub-constant errorprobability PCP characterization of NP
-
Raz, R. and Safra, S., A sub-constant error-probability low-degree test, and a sub-constant errorprobability PCP characterization of NP, Proc. of STOC, 1997, p. 475.
-
(1997)
Proc. of STOC
, pp. 475
-
-
Raz, R.1
Safra, S.2
-
6
-
-
0347589496
-
Improved low-degree testing and its applications
-
Arora, S. and Sudan, M., Improved low-degree testing and its applications, Combinatorica, 23(3), 365, 2003.
-
(2003)
Combinatorica
, vol.23
, Issue.3
, pp. 365
-
-
Arora, S.1
Sudan, M.2
-
7
-
-
0032108328
-
A threshold of ln n for approximating set cover
-
Feige, U., A threshold of ln n for approximating set cover, JACM, 45(4), 634, 1998.
-
(1998)
JACM
, vol.45
, Issue.4
, pp. 634
-
-
Feige, U.1
-
8
-
-
0038077466
-
Fast distributed algorithms for (Weakly) connected dominating sets and linear-size skeletons
-
Dubhashi, D., Mei, A., Panconesi, A., Radhakrishnan, J., and Srinivasan, A., Fast distributed algorithms for (weakly) connected dominating sets and linear-size skeletons, Proc. of SODA, 2003, p. 717.
-
(2003)
Proc. of SODA
, pp. 717
-
-
Dubhashi, D.1
Mei, A.2
Panconesi, A.3
Radhakrishnan, J.4
Srinivasan, A.5
-
9
-
-
0036935239
-
An efficient distributed algorithm for constructing small dominating sets
-
Jia, L., Rajaraman, R., and Suel, T., An efficient distributed algorithm for constructing small dominating sets, Dist. Comput., 15, 193, 2002.
-
(2002)
Dist. Comput.
, vol.15
, pp. 193
-
-
Jia, L.1
Rajaraman, R.2
Suel, T.3
-
10
-
-
18744385521
-
Constant-time distributed dominating set approximation
-
Kuhn, F., and Wattenhofer, R., Constant-time distributed dominating set approximation, Dist. Comput., 17(4), 303–310, 2005.
-
(2005)
Dist. Comput.
, vol.17
, Issue.4
, pp. 303-310
-
-
Kuhn, F.1
Wattenhofer, R.2
-
11
-
-
0028538507
-
Probabilistic recurrence relations
-
Karp, R. M., Probabilistic recurrence relations, JACM, 41(6), 1136, 1994.
-
(1994)
JACM
, vol.41
, Issue.6
, pp. 1136
-
-
Karp, R.M.1
-
13
-
-
4244094761
-
Lectures on Discrete Geometry
-
Springer, Berlin
-
Matoušek J., Lectures on Discrete Geometry, Graduate Texts in Mathematics, Vol. 212, Springer, Berlin, 2002.
-
(2002)
Graduate Texts in Mathematics
, vol.212
-
-
Matoušek, J.1
-
14
-
-
0542423500
-
Free bits, pcps and non-approximability—towards tight results
-
Bellare, M., Goldreich, O., and Sudan, M., Free bits, pcps and non-approximability—towards tight results, SIAM J. Comput., 27, 804, 1998.
-
(1998)
SIAM J. Comput.
, vol.27
, pp. 804
-
-
Bellare, M.1
Goldreich, O.2
Sudan, M.3
-
15
-
-
0032178928
-
Zero knowledge and the chromatic number
-
Feige, U. and Kilian, J., Zero knowledge and the chromatic number, JCSS, 57, 187, 1998.
-
(1998)
JCSS
, vol.57
, pp. 187
-
-
Feige, U.1
Kilian, J.2
-
16
-
-
0027201216
-
A still better performance guarantee for approximate graph coloring
-
Halldòrsson, M. M., A still better performance guarantee for approximate graph coloring, Inform. Proc. Lett., 45, 19, 1993.
-
(1993)
Inform. Proc. Lett.
, vol.45
, pp. 19
-
-
Halldòrsson, M.M.1
-
17
-
-
0033591579
-
Simple distributed δ + 1-coloring of graphs
-
Johansson, O., Simple distributed δ + 1-coloring of graphs, Inform. Proc. Lett., 70(5), 229, 1999.
-
(1999)
Inform. Proc. Lett.
, vol.70
, Issue.5
, pp. 229
-
-
Johansson, O.1
-
18
-
-
0009448732
-
Removing randomness in parallel computation without a processor penalty
-
Luby, M., Removing randomness in parallel computation without a processor penalty, JCSS, 47(2), 250, 1993.
-
(1993)
JCSS
, vol.47
, Issue.2
, pp. 250
-
-
Luby, M.1
-
19
-
-
10844265377
-
An experimental study of simple, distributed vertex colouring algorithms
-
Finocchi, I., Panconesi, A., and Silvestri, R., An experimental study of simple, distributed vertex colouring algorithms, Proc. of SODA, 2002.
-
(2002)
Proc. of SODA
-
-
Finocchi, I.1
Panconesi, A.2
Silvestri, R.3
-
20
-
-
84947051478
-
Distributed O(Delta log(n))-edge-coloring algorithm
-
Czygrinow, A., Hańćkowiak, M., and Karoński, M., Distributed O(Delta log(n))-edge-coloring algorithm, Proc. Eur. Symp. on Algorithms, 2001, p. 345.
-
(2001)
Proc. Eur. Symp. on Algorithms
, pp. 345
-
-
Czygrinow, A.1
Hańćkowiak, M.2
Karoński, M.3
-
22
-
-
0038120920
-
Nearly-optimal, distributed edge-colouring via the nibble method
-
Dubhashi, D., Grable, D., and Panconesi, A., Nearly-optimal, distributed edge-colouring via the nibble method, Theor. Comp. Sci., 203, 225, 1998.
-
(1998)
Theor. Comp. Sci.
, vol.203
, pp. 225
-
-
Dubhashi, D.1
Grable, D.2
Panconesi, A.3
-
23
-
-
0031481094
-
Nearly optimal distributed edge colouring in O(Log log n) rounds
-
Grable, D. and Panconesi, A., Nearly optimal distributed edge colouring in O(log log n) rounds, Random Struct. Algorithms, 10(3), 385, 1997.
-
(1997)
Random Struct. Algorithms
, vol.10
, Issue.3
, pp. 385
-
-
Grable, D.1
Panconesi, A.2
-
24
-
-
0012830818
-
Chromatic number, girth and maximal degree
-
Bollobas, B., Chromatic number, girth and maximal degree, SIAM J. Disc. Math., 24, 311, 1978.
-
(1978)
SIAM J. Disc. Math.
, vol.24
, pp. 311
-
-
Bollobas, B.1
-
25
-
-
0032276737
-
Fast distributed algorithms for brooks-vizing colourings
-
Grable, D. and Panconesi, A., Fast distributed algorithms for brooks-vizing colourings, Proc. of SODA, 1998, p. 473.
-
(1998)
Proc. of SODA
, pp. 473
-
-
Grable, D.1
Panconesi, A.2
-
26
-
-
0000672724
-
Concentration
-
Habib, M., McDiarmid, C., Ramirez-Alfonsin, J., and Reed, B., Eds., Springer, New York
-
McDiarmid, C., Concentration. In Habib, M., McDiarmid, C., Ramirez-Alfonsin, J., and Reed, B., Eds., Probabilistic Methods for Algorithmic Discrete Mathematics, Springer, New York, 1998, 195–248.
-
(1998)
Probabilistic Methods for Algorithmic Discrete Mathematics
, pp. 195-248
-
-
McDiarmid, C.1
-
27
-
-
0000564619
-
A bound on the strong chromatic index of a graph
-
Molly, M. S. O. and Reed, B. A., A bound on the strong chromatic index of a graph. J. Comb. Theory, Ser. B 69(2), 103–109, 1997.
-
(1997)
J. Comb. Theory, Ser. B
, vol.69
, Issue.2
, pp. 103-109
-
-
Molly, M.S.O.1
Reed, B.A.2
-
29
-
-
84887106587
-
Martingales and locality in distributed computing
-
Dubhashi, D. P., Martingales and locality in distributed computing, FSTTCS 1998, 174–185.
-
(1998)
FSTTCS
, pp. 174-185
-
-
Dubhashi, D.P.1
-
30
-
-
0027614508
-
Approximating matchings in parallel
-
Fischer, T., Goldberg, A. V., Haglin, D. J., and Plotkin, S., Approximating matchings in parallel, Inf. Proc. Lett., 46, 115, 1993.
-
(1993)
Inf. Proc. Lett.
, vol.46
, pp. 115
-
-
Fischer, T.1
Goldberg, A.V.2
Haglin, D.J.3
Plotkin, S.4
-
31
-
-
84883094898
-
A simple parallel algorithm for the maximal independent set problem
-
Luby, M., A simple parallel algorithm for the maximal independent set problem, Proc. of STOC, 1985, p. 1.
-
(1985)
Proc. of STOC
, pp. 1
-
-
Luby, M.1
-
32
-
-
0001011699
-
A fast and simple randomized parallel algorithm for the maximal independent set problem
-
Alon, N., Babai, L., and Itai, A., A fast and simple randomized parallel algorithm for the maximal independent set problem, J. Algorithms, 7, 567, 1986.
-
(1986)
J. Algorithms
, vol.7
, pp. 567
-
-
Alon, N.1
Babai, L.2
Itai, A.3
-
34
-
-
0001009871
-
5/2 algorithm for maximum matching in bipartite graphs
-
5/2 algorithm for maximum matching in bipartite graphs, SIAM J. Comput., 2, 225, 1973.
-
(1973)
SIAM J. Comput.
, vol.2
, pp. 225
-
-
Hopcroft, J.E.1
Karp, R.M.2
-
36
-
-
0032279794
-
On the distributed complexity of computing maximal matchings
-
Hańćkowiak, M., Karoński, M., and Panconesi, A., On the distributed complexity of computing maximal matchings, Proc. of SODA, 1998, p. 219.
-
(1998)
Proc. of SODA
, pp. 219
-
-
Hańćkowiak, M.1
Karoński, M.2
Panconesi, A.3
-
37
-
-
4243085252
-
On the distributed complexity of computing maximal matchings
-
Hańćkowiak, M., Karoński, M., and Panconesi, A., On the distributed complexity of computing maximal matchings, SIAM J. Discrete Math., 15(1), 41, 2001.
-
(2001)
SIAM J. Discrete Math.
, vol.15
, Issue.1
, pp. 41
-
-
Hańćkowiak, M.1
Karoński, M.2
Panconesi, A.3
-
38
-
-
33746100365
-
A fast distributed algorithm for approximating the maximum matching
-
Czygrinow, A., Háńckowiak, M., and Szymanska, E., A fast distributed algorithm for approximating the maximum matching, Proc. Eur. Symp. on Algorithms, 2004, p. 252.
-
(2004)
Proc. Eur. Symp. on Algorithms
, pp. 252
-
-
Czygrinow, A.1
Háńckowiak, M.2
Szymanska, E.3
-
39
-
-
0022045936
-
Ramsey numbers and an approximation algorithm for the vertex cover problem
-
Monien, B. and Speckenmeyer, E., Ramsey numbers and an approximation algorithm for the vertex cover problem, Acta Informatica, 22, 115, 1985.
-
(1985)
Acta Informatica
, vol.22
, pp. 115
-
-
Monien, B.1
Speckenmeyer, E.2
-
40
-
-
0002463428
-
Some optimal inapproximability results
-
Håstad, J., Some optimal inapproximability results, Proc. of STOC, 1997, p. 1.
-
(1997)
Proc. of STOC
, pp. 1
-
-
Håstad, J.1
-
41
-
-
26844436034
-
A primal-dual parallel approximation technique applied to weighted set and vertex cover
-
Khuller, S., Vishkin, U., and Young, N., A primal-dual parallel approximation technique applied to weighted set and vertex cover, J. Algorithms, 17(2), 280, 1994.
-
(1994)
J. Algorithms
, vol.17
, Issue.2
, pp. 280
-
-
Khuller, S.1
Vishkin, U.2
Young, N.3
-
42
-
-
85056027162
-
Distributed weighted vertex cover via maximal matchings
-
Grandoni, F., Könemann, J., and Panconesi, A., Distributed weighted vertex cover via maximal matchings, Intl. Comput. and Comb. Conf., 2005.
-
(2005)
Intl. Comput. and Comb. Conf.
-
-
Grandoni, F.1
Könemann, J.2
Panconesi, A.3
-
43
-
-
0022471385
-
A fast and simple randomized parallel algorithm for maximal matching
-
Israeli, A. and Itai, A., A fast and simple randomized parallel algorithm for maximal matching, Inf. Proc. Lett., 22, 77, 1986.
-
(1986)
Inf. Proc. Lett.
, vol.22
, pp. 77
-
-
Israeli, A.1
Itai, A.2
-
44
-
-
32344449383
-
Primal-dual based distributed algorithms for vertex cover with semi-hard capacities
-
Grandoni, F., Könemann, J., Panconesi, A., and Sozio, M., Primal-dual based distributed algorithms for vertex cover with semi-hard capacities, Symp. on Principles of Dist. Comput., 2005, p. 118.
-
(2005)
Symp. on Principles of Dist. Comput.
, pp. 118
-
-
Grandoni, F.1
Könemann, J.2
Panconesi, A.3
Sozio, M.4
-
45
-
-
0011716017
-
What can be computed locally?
-
Naor, M. and Stockmeyer, L., What can be computed locally? SIAM J. Comput., 24(6), 1259, 1995.
-
(1995)
SIAM J. Comput.
, vol.24
, Issue.6
, pp. 1259
-
-
Naor, M.1
Stockmeyer, L.2
-
47
-
-
0026821081
-
Locality in distributed graph algorithms
-
Linial, N., Locality in distributed graph algorithms, SIAM J. Comput., 21(1), 193, 1992.
-
(1992)
SIAM J. Comput.
, vol.21
, Issue.1
, pp. 193
-
-
Linial, N.1
-
48
-
-
10844220386
-
A lower bound on probabilistic algorithms for distributive ring coloring
-
Naor, M., A lower bound on probabilistic algorithms for distributive ring coloring, SIAM J. Disc. Math., 4(3), 409, 1991.
-
(1991)
SIAM J. Disc. Math.
, vol.4
, Issue.3
, pp. 409
-
-
Naor, M.1
-
49
-
-
0022744154
-
Deterministic coin tossing with applications to optimal parallel list ranking
-
Cole, R. and Vishkin, U., Deterministic coin tossing with applications to optimal parallel list ranking, Inf. Control, 70(1), 32, 1986.
-
(1986)
Inf. Control
, vol.70
, Issue.1
, pp. 32
-
-
Cole, R.1
Vishkin, U.2
-
50
-
-
0000601523
-
A sublinear time distributed algorithm for minimum-weight spanning trees
-
Garay, J. A., Kutten, S., and Peleg, D., A sublinear time distributed algorithm for minimum-weight spanning trees, SIAM J. Comput., 27(1), 302, 1998.
-
(1998)
SIAM J. Comput.
, vol.27
, Issue.1
, pp. 302
-
-
Garay, J.A.1
Kutten, S.2
Peleg, D.3
-
51
-
-
0035188171
-
A near-tight lower bound on the time complexity of distributed minimum-weight spanning tree construction
-
Peleg, D. and Rubinovich, V., A near-tight lower bound on the time complexity of distributed minimum-weight spanning tree construction, SIAM J. Comput., 30(5), 1427, 2000.
-
(2000)
SIAM J. Comput.
, vol.30
, Issue.5
, pp. 1427
-
-
Peleg, D.1
Rubinovich, V.2
-
52
-
-
85056071425
-
Unconditional lower bounds on the time-approximation tradeoffs for the distributed minimum spanning tree problem
-
Elkin, M., Unconditional lower bounds on the time-approximation tradeoffs for the distributed minimum spanning tree problem, Proc. of STOC, 2004, p. 331.
-
(2004)
Proc. of STOC
, pp. 331
-
-
Elkin, M.1
-
53
-
-
10444251710
-
What cannot be computed locally!
-
Kuhn, F., Moscibroda, T., and Wattenhofer, R., What cannot be computed locally! Proc. Symp. on Principles of Dist. Comput., 2004.
-
(2004)
Proc. Symp. on Principles of Dist. C
-
-
Kuhn, F.1
Moscibroda, T.2
Wattenhofer, R.3
|