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Volumn 4393 LNCS, Issue , 2007, Pages 512-523

New approximation algorithms for minimum cycle bases of graphs

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION ALGORITHMS; INTEGER PROGRAMMING; MATRIX ALGEBRA; VECTORS;

EID: 34548300933     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-70918-3_44     Document Type: Conference Paper
Times cited : (13)

References (22)
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    • (1964) Uspekhi Mat. Nauk , vol.19 , pp. 171-175
    • Stepanec, G.F.1
  • 2
    • 0023328260 scopus 로고
    • A polynomial-time algorithm to find a shortest cycle basis of a graph
    • Horton, J.D.: A polynomial-time algorithm to find a shortest cycle basis of a graph. SIAM Journal of Computing 16 (1987) 359-366
    • (1987) SIAM Journal of Computing , vol.16 , pp. 359-366
    • Horton, J.D.1
  • 4
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    • Golynski, A., Horton, J.D.: A polynomial time algorithm to find the minimum cycle basis of a regular matroid. In: SWAT. (2002)
    • Golynski, A., Horton, J.D.: A polynomial time algorithm to find the minimum cycle basis of a regular matroid. In: SWAT. (2002)
  • 5
    • 15344339780 scopus 로고    scopus 로고
    • Minimum cycle basis for network graphs
    • Berger, F., Gritzmann, P., de Vries, S.: Minimum cycle basis for network graphs. Algorithmica 40(1) (2004) 51-62
    • (2004) Algorithmica , vol.40 , Issue.1 , pp. 51-62
    • Berger, F.1    Gritzmann, P.2    de Vries, S.3
  • 7
    • 24944504663 scopus 로고    scopus 로고
    • Implementation of algorithms for sparse cycle bases of graphs
    • Technical report, Technische Universität München
    • Huber, M.: Implementation of algorithms for sparse cycle bases of graphs. Technical report, Technische Universität München (2002) http://www-m9.ma.tum.de/dm/cycles/mhuber.
    • (2002)
    • Huber, M.1
  • 9
    • 24944588680 scopus 로고    scopus 로고
    • Mehlhorn, K., Michail, D.: Implementing minimum cycle basis algorithms. In: WEA. 3503 of LNCS. (2005) 32-43
    • Mehlhorn, K., Michail, D.: Implementing minimum cycle basis algorithms. In: WEA. Volume 3503 of LNCS. (2005) 32-43
  • 11
    • 0016974427 scopus 로고
    • Cycle bases of minimal measure for the structural analysis of skeletal structures by the flexibility method
    • Proc. Royal
    • Cassell, A.C., Henderson, J.C., Ramachandran, K.: Cycle bases of minimal measure for the structural analysis of skeletal structures by the flexibility method. In: Proc. Royal Society of London Series A. Volume 350. (1976) 61-70
    • (1976) Society of London Series A , vol.350 , pp. 61-70
    • Cassell, A.C.1    Henderson, J.C.2    Ramachandran, K.3
  • 14
    • 85023205150 scopus 로고
    • Matrix multiplications via arithmetic progressions
    • Coppersmith, D., Winograd, S.: Matrix multiplications via arithmetic progressions. Journal of Symb. Comput. 9 (1990) 251-280
    • (1990) Journal of Symb. Comput , vol.9 , pp. 251-280
    • Coppersmith, D.1    Winograd, S.2
  • 15
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    • A polynomial time algorithm for minimum cycle basis in directed graphs
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    • Kavitha, T., Mehlhorn, K.: A polynomial time algorithm for minimum cycle basis in directed graphs. In: STACS 2005. Volume 3404 of LNCS. (2005) 654-665
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    • Kavitha, T.1    Mehlhorn, K.2
  • 16
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    • A greedy approach to compute a minimum cycle basis of a directed graph
    • Liebchen, C., Rizzi, R.: A greedy approach to compute a minimum cycle basis of a directed graph. Inf. Process. Lett. 94(3) (2005) 107-112
    • (2005) Inf. Process. Lett , vol.94 , Issue.3 , pp. 107-112
    • Liebchen, C.1    Rizzi, R.2
  • 17
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    • A faster deterministic algorithm for minimum cycle basis in directed graphs
    • Proceedings of ICALP. of
    • Hariharan, R., Kavitha, T., Mehlhorn, K.: A faster deterministic algorithm for minimum cycle basis in directed graphs. In: Proceedings of ICALP. Volume 4051 of LNCS. (2006) 250-261
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  • 18
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    • 2n) randomized algorithm to compute a minimum cycle basis of a directed graph
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    • Kavitha, T.1


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