Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
skip to main content
10.1145/195058.195179acmconferencesArticle/Chapter ViewAbstractPublication PagesstocConference Proceedingsconference-collections
Article
Free access

Color-coding: a new method for finding simple paths, cycles and other small subgraphs within large graphs

Published: 23 May 1994 Publication History
  • Get Citation Alerts
  • First page of PDF

    References

    [1]
    N. Alon, J. Bruck, J. Naor, M. Naor, and R.M. Roth. Construction of asymptotically good low-rate error-correcting codes through pseudo-random graphs. IEEE Transactions on Information Theory, 38(2):509-516, 1992.
    [2]
    N. Alon, O. Goldreich, J. H~stad, and R. Peralta. Simple constructions of almost k-wise independent random variables. Random Structures and Algorithms, 3(3):289-304, 1992. Addendum in Random Structures and Algorithms, 4(1 ):119-120, 1993.
    [3]
    N. Alon and M. Naor. Derandomization, witnesses for boolean matrix multiplication and construction of perfect hash functions. To appear in Algorithmica, 1994.
    [4]
    H.L. Bodlaender. On linear time minor tests with depth-first search. Journal of Algorithms, 14:1-23, 1993.
    [5]
    B. Bollob~s. Extremal graph theory. Academic Press, 1978.
    [6]
    B. Bollob~s. Extremal graph theory with emphasis on probabilistic methods. Regional conference series in mathematics, No. 62, American Mathematical Society, 1986.
    [7]
    T.H. Cormen, C.E. Leiserson, and R.L. Rivest. Introduction to algorithms. The MIT Press, 1990.
    [8]
    N. Chiba and L. Nishizeki. Arboricity and subgraph listing algorithms. SlAM Journal on Computing, 14:210- 223, 1985.
    [9]
    R.G. Downey and M.R. Fellows. Fixedparameter intractability. In Proceedings of the 7th Annual Symposium on Structure in Complexity Theory, pages 36- 49, 1992.
    [10]
    M.L. Fredman, J. Koml6s, and E. Szemer#di. Storing a sparse table with O(1) worst case access time. Journal of the ACM, 31:538-544, 1984.
    [11]
    M. Fiirer and B. Raghavachari. Approximating the minimum degree spanning tree to within one from the optimal degree. In Proceedings of the 3rd Annual A CM-SIAM Symposium on Discrete Algorithms, Orlando, Florida, pages 317-324, 1992.
    [12]
    A. Itai and M. Rodeh. Finding a minimum circuit in a graph. SIAM Journal on Computing, 7:413-423, 1978.
    [13]
    D.S. Johnson. The NP-completeness column: An ongoing guide. The many faces of polynomial time. Journal of Algorithms, 8:285-303, 1987.
    [14]
    D. Karger, R. Motwani, and G.D.S. Ramkumar. On approximating the longest path in a graph. In Proceedings of the Workshop on algorithms and data structures, Montreal, Canada, pages 421-432, 1993.
    [15]
    D.W. Matula and L.L. Beck. Smallestlast ordering and clustering and graph coloring algorithms. Journal of the A CM, 30:417-427, 1983.
    [16]
    B. Monien. How to find long paths efficiently. Annals of Discrete Mathematics, 25:239-254, 1985.
    [17]
    J. Naor and M. Naor. Small-bias probability spaces: efficient constructions and applications. In Proceedings of the 22nd Annual A CM Symposium on Theory of Computing, pages 213-223, 1990.
    [18]
    J. Plehn and B. Voigt. Finding minimally weighted subgraphs. In Proc. 16th Workshop on graph theoretic concepts in computer Scie'nce, Lecture Notes in Computer Science, Vol. 484, pages 18-29. Springer, 1990.
    [19]
    C.H. Papadimitriou and M. Yannakakis. The clique problem for planar graphs. Information Processing Letters, 13:131-133, 1981.
    [20]
    C.H. Papadimitriou and M. Yannakakis. On limited nondeterminism and the complexity of the V-C dimension. In Proceedings of the 8th Annual Symposium on Structure in Complexity Theory, San Diego, California, pages 12-18, 1993.
    [21]
    D. Richards. Finding short cycles in a planar graph using separators. Journal of Algorithms, 7:382-394, 1986.
    [22]
    N. Robertson and P. Seymour. Graph minors. II. Algorithmic aspects of treewidth. Journal of Algorithms, 7:309- 322, 1986.
    [23]
    N. Robertson and P. Seymour. Graph minors. V. Excluding a planar graph. journal of Combinatorial Theory, Series B, 41"92-114, 1986.
    [24]
    J.P. Schmidt and A. Siegel. The spatial complexity of oblivious k-probe hash functions. SIAM Journal on Computing, 19(5):775-786, 1990.
    [25]
    R. Yuster and U. Zwick. Finding even cycles even faster. In Proceedings of the 21st international Colloquium on Automata, Languages and Programming, Jerusalem, Israel, 1994. to appear.

    Cited By

    View all
    • (2024)Efficient -Clique Counting on Large Graphs: The Power of Color-Based Sampling ApproachesIEEE Transactions on Knowledge and Data Engineering10.1109/TKDE.2023.331464336:4(1518-1536)Online publication date: Apr-2024
    • (2024)Color Coding for the Fragment-Based Docking, Design and Equilibrium Statistics of Protein-Binding ssRNAsResearch in Computational Molecular Biology10.1007/978-1-0716-3989-4_10(147-163)Online publication date: 29-Apr-2024
    • (2023)Efficient Biclique Counting in Large Bipartite GraphsProceedings of the ACM on Management of Data10.1145/35889321:1(1-26)Online publication date: 30-May-2023
    • Show More Cited By

    Recommendations

    Comments

    Information & Contributors

    Information

    Published In

    cover image ACM Conferences
    STOC '94: Proceedings of the twenty-sixth annual ACM symposium on Theory of Computing
    May 1994
    822 pages
    ISBN:0897916638
    DOI:10.1145/195058
    Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

    Sponsors

    Publisher

    Association for Computing Machinery

    New York, NY, United States

    Publication History

    Published: 23 May 1994

    Permissions

    Request permissions for this article.

    Check for updates

    Qualifiers

    • Article

    Conference

    STOC94
    Sponsor:
    STOC94: Symposium on Theory of Computing
    May 23 - 25, 1994
    Quebec, Montreal, Canada

    Acceptance Rates

    Overall Acceptance Rate 1,469 of 4,586 submissions, 32%

    Contributors

    Other Metrics

    Bibliometrics & Citations

    Bibliometrics

    Article Metrics

    • Downloads (Last 12 months)154
    • Downloads (Last 6 weeks)22
    Reflects downloads up to 12 Aug 2024

    Other Metrics

    Citations

    Cited By

    View all
    • (2024)Efficient -Clique Counting on Large Graphs: The Power of Color-Based Sampling ApproachesIEEE Transactions on Knowledge and Data Engineering10.1109/TKDE.2023.331464336:4(1518-1536)Online publication date: Apr-2024
    • (2024)Color Coding for the Fragment-Based Docking, Design and Equilibrium Statistics of Protein-Binding ssRNAsResearch in Computational Molecular Biology10.1007/978-1-0716-3989-4_10(147-163)Online publication date: 29-Apr-2024
    • (2023)Efficient Biclique Counting in Large Bipartite GraphsProceedings of the ACM on Management of Data10.1145/35889321:1(1-26)Online publication date: 30-May-2023
    • (2023)Almost optimal query algorithm for hitting set using a subset queryJournal of Computer and System Sciences10.1016/j.jcss.2023.02.002137(50-65)Online publication date: Nov-2023
    • (2022)Parameterized Algorithms for Kidney ExchangeProceedings of the 21st International Conference on Autonomous Agents and Multiagent Systems10.5555/3535850.3536079(1693-1695)Online publication date: 9-May-2022
    • (2021)Application of Meta-Heuristics on Reconstructing Gene Regulatory Network: A Bayesian Model ApproachIETE Journal of Research10.1080/03772063.2021.194643369:7(4184-4195)Online publication date: 4-Jul-2021
    • (2020)A Brief Survey of Fixed-Parameter ParallelismAlgorithms10.3390/a1308019713:8(197)Online publication date: 14-Aug-2020
    • (2020)PangolinProceedings of the VLDB Endowment10.14778/3389133.338913713:8(1190-1205)Online publication date: 3-May-2020
    • (2020)New algorithms and hardness for incremental single-source shortest paths in directed graphsProceedings of the 52nd Annual ACM SIGACT Symposium on Theory of Computing10.1145/3357713.3384236(153-166)Online publication date: 22-Jun-2020
    • (2019)NoMAS: A Computational Approach to Find Mutated Subnetworks Associated With Survival in Genome-Wide Cancer StudiesFrontiers in Genetics10.3389/fgene.2019.0026510Online publication date: 10-Apr-2019
    • Show More Cited By

    View Options

    View options

    PDF

    View or Download as a PDF file.

    PDF

    eReader

    View online with eReader.

    eReader

    Get Access

    Login options

    Media

    Figures

    Other

    Tables

    Share

    Share

    Share this Publication link

    Share on social media