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Volumn 57, Issue 2, 2011, Pages 1008-1014

On the hardness of approximating the network coding capacity

Author keywords

Approximation; capacity; complexity; index coding; network coding

Indexed keywords

APPROXIMATION; CAPACITY; COMPLEXITY; INDEX CODING; NETWORK CODING;

EID: 79251507985     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2010.2094910     Document Type: Article
Times cited : (70)

References (38)
  • 3
    • 0242334165 scopus 로고    scopus 로고
    • An algebraic approach to network coding
    • R.Koetter and M. Medard, "An algebraic approach to network coding," IEEE/ACM Trans. Netw., vol. 11, no. 5, pp. 782-795, 2003.
    • (2003) IEEE/ACM Trans. Netw. , vol.11 , Issue.5 , pp. 782-795
    • Koetter, R.1    Medard, M.2
  • 8
    • 23844535205 scopus 로고    scopus 로고
    • Insufficiency of linear coding in network information flow
    • DOI 10.1109/TIT.2005.851744
    • R. Dougherty, C. Freiling, and K. Zeger, "Insufficiency of linear coding in network information flow," IEEE Trans. Inf. Theory, vol. 51, no. 8, pp. 2745-2759, 2005. (Pubitemid 41158597)
    • (2005) IEEE Transactions on Information Theory , vol.51 , Issue.8 , pp. 2745-2759
    • Dougherty, R.1    Freiling, C.2    Zeger, K.3
  • 10
    • 33750582016 scopus 로고    scopus 로고
    • Ph.D. Thesis, Dep. Elect. Eng. Comput. Sci., Mass. Instit. Technol., Cambridge
    • A. L. Rasala, "Network Coding," Ph.D. Thesis, Dep. Elect. Eng. Comput. Sci., Mass. Instit. Technol., Cambridge, 2005.
    • (2005) Network Coding
    • Rasala, A.L.1
  • 13
    • 34249811774 scopus 로고    scopus 로고
    • Networks, matroids, and non-shannon information inequalities
    • R. Dougherty, C. Freiling, and K. Zeger, "Networks, matroids, and non-Shannon information inequalities," IEEE Trans. Inf. Theory, vol. 53, no. 6, pp. 1949-1969, 2007.
    • (2007) IEEE Trans. Inf. Theory , vol.53 , Issue.6 , pp. 1949-1969
    • Dougherty, R.1    Freiling, C.2    Zeger, K.3
  • 18
    • 54749110342 scopus 로고    scopus 로고
    • Dualities between entropy functions and network codes
    • T. Chan and A. Grant, "Dualities between entropy functions and network codes," IEEE Trans. Inf. Theory, vol. 54, no. 10, pp. 4470-4487, 2008.
    • (2008) IEEE Trans. Inf. Theory , vol.54 , Issue.10 , pp. 4470-4487
    • Chan, T.1    Grant, A.2
  • 19
    • 52349103512 scopus 로고    scopus 로고
    • On the hardness of approximating the network coding capacity
    • Toronto, Canada, Jul.
    • M. Langberg and A. Sprintson, "On the hardness of approximating the network coding capacity," in Proc. Int. Symp. Inf. Theory (ISIT), Toronto, Canada, Jul. 2008, pp. 315-319.
    • (2008) Proc. Int. Symp. Inf. Theory (ISIT) , pp. 315-319
    • Langberg, M.1    Sprintson, A.2
  • 21
    • 0027201216 scopus 로고
    • A still better performance guarantee for approximate graph coloring
    • M. Halldorsson, "A still better performance guarantee for approximate graph coloring," Inf. Process. Lett., vol. 45, pp. 19-23, 1993.
    • (1993) Inf. Process. Lett. , vol.45 , pp. 19-23
    • Halldorsson, M.1
  • 22
    • 33748109880 scopus 로고    scopus 로고
    • Linear degree extractors and the inapproximability of max clique and chromatic number
    • Miami, FL, Jan.
    • D. Zuckerman, "Linear degree extractors and the inapproximability of max clique and chromatic number," in Proc. 38th Ann. ACM Symp. Theory of Comput., Miami, FL, Jan. 2006.
    • (2006) Proc. 38th Ann. ACM Symp. Theory of Comput.
    • Zuckerman, D.1
  • 23
    • 0032028848 scopus 로고    scopus 로고
    • Approximate graph coloring by semidefinite programming
    • D. Karger, R. Motwani, and M. Sudan, "Approximate graph coloring by semidefinite programming," J. ACM, vol. 45, no. 2, pp. 246-265, 1998.
    • (1998) J. ACM , vol.45 , Issue.2 , pp. 246-265
    • Karger, D.1    Motwani, R.2    Sudan, M.3
  • 24
    • 0030737372 scopus 로고    scopus 로고
    • An-coloring for 3-colorable graphs
    • A. Blum and D. Karger, "An-coloring for 3-colorable graphs," Inf. Process. Lett., vol. 61, no. 6, pp. 49-53, 1997.
    • (1997) Inf. Process. Lett. , vol.61 , Issue.6 , pp. 49-53
    • Blum, A.1    Karger, D.2
  • 25
    • 0036811821 scopus 로고    scopus 로고
    • Coloring k-colorable graphs using smaller palettes
    • E. Halperin, R. Nathaniel, and U. Zwick, "Coloring k-colorable graphs using smaller palettes," J. Algorithms, vol. 45, pp. 72-90, 2002.
    • (2002) J. Algorithms , vol.45 , pp. 72-90
    • Halperin, E.1    Nathaniel, R.2    Zwick, U.3
  • 27
    • 0039550370 scopus 로고    scopus 로고
    • On the hardness of approximating the chromatic number
    • S. Khanna, N. Linial, and S. Safra, "On the hardness of approximating the chromatic number," Combinatorica, vol. 20, pp. 393-415, 2000.
    • (2000) Combinatorica , vol.20 , pp. 393-415
    • Khanna, S.1    Linial, N.2    Safra, S.3
  • 29
    • 0036040281 scopus 로고    scopus 로고
    • On the power of unique 2-prover 1-round games
    • Montreal, Quebec, Canada, May
    • S. Khot, "On the power of unique 2-prover 1-round games," in Proc. 34th Ann. ACM Symp. Theory of Comput. (STOC), Montreal, Quebec, Canada, May 2002.
    • (2002) Proc. 34th Ann., ACM Symp. Theory of Comput. (STOC)
    • Khot, S.1
  • 31
    • 0028255806 scopus 로고
    • Approximation algorithms for np-complete problems on planar graphs
    • B. S. Baker, "Approximation algorithms for NP-complete problems on planar graphs," J. ACM, vol. 41, no. 1, pp. 153-180, 1994.
    • (1994) J. ACM , vol.41 , Issue.1 , pp. 153-180
    • Baker, B.S.1
  • 35
    • 77953735305 scopus 로고    scopus 로고
    • On the index coding problem and its relation to network coding and matroid theory
    • Jul.
    • S. El Rouayheb, A. Sprintson, and C. Georghiades, "On the index coding problem and its relation to network coding and matroid theory," IEEE Trans. Inf. Theory, vol. 56, no. 7, pp. 3187-3195, Jul. 2010.
    • (2010) IEEE Trans. Inf. Theory , vol.56 , Issue.7 , pp. 3187-3195
    • El Rouayheb, S.1    Sprintson, A.2    Georghiades, C.3
  • 37
    • 0013515394 scopus 로고
    • On some problems of lovász concerning the shannon capacity of a graph
    • W. H. Haemers, "On some problems of Lovász concerning the Shannon capacity of a graph," IEEE Trans. Inf. Theory, vol. 25, no. 2, pp. 231-232, 1979.
    • (1979) IEEE Trans. Inf. Theory , vol.25 , Issue.2 , pp. 231-232
    • Haemers, W.H.1
  • 38
    • 0041350906 scopus 로고    scopus 로고
    • Orthogonal representations over finite fields and the chromatic number of graphs
    • R. Peeters, "Orthogonal representations over finite fields and the chromatic number of graphs," Combinatorica, vol. 16, no. 3, pp. 417-431, 1996. (Pubitemid 126353017)
    • (1996) Combinatorica , vol.16 , Issue.3 , pp. 417-431
    • Peeters, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.