Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
skip to main content
10.1007/978-3-642-39206-1_7guideproceedingsArticle/Chapter ViewAbstractPublication PagesConference Proceedingsacm-pubtype
Article

Algorithms for hub label optimization

Published: 08 July 2013 Publication History

Abstract

We consider the problem of approximating optimal hub labelings in the context of labeling algorithms for the shortest path problem. A previous result was a O(logn) approximating for minimizing the total label size. We give an O(logn)-approximation algorithm for the maximum label size. We also give O(logn)-approximation algorithms for natural generalizations of the problem: Minimizing an ℓp norm of the labeling and simultaneously minimizing ℓp and ℓq norms.

References

[1]
Abraham, I., Delling, D., Goldberg, A. V., Werneck, R. F.: A Hub-Based Labeling Algorithm for Shortest Paths in Road Networks. In: Pardalos, P. M., Rebennack, S. (eds.) SEA 2011. LNCS, vol. 6630, pp. 230-241. Springer, Heidelberg (2011)
[2]
Abraham, I., Delling, D., Goldberg, A. V., Werneck, R. F.: Hierarchical Hub Labelings for Shortest Paths. In: Epstein, L., Ferragina, P. (eds.) ESA 2012. LNCS, vol. 7501, pp. 24-35. Springer, Heidelberg (2012)
[3]
Kumar, V. S. A., Marathe, M. V., Parthasarathy, S., Srinivasan, A.: A unified approach to scheduling on unrelated parallel machines. JACM 56(5), 28-31 (2009)
[4]
Aspnes, J., Azar, Y., Fiat, A., Plotkin, S., Waarts, O.: On-line routing of virtual circuits with applications to load balancing and machine scheduling. J. ACM 44(3), 486-504 (1997)
[5]
Awerbuch, B., Azar, Y., Grove, E. F., Kao, M.-Y., Krishnan, P., Vitter, J. S.: Load balancing in the lp norm. In: FOCS, pp. 383-391 (1995)
[6]
Azar, Y., Epstein, A.: Convex programming for scheduling unrelated parallel machines. In: STOC 2005, pp. 331-337 (2005)
[7]
Azar, Y., Epstein, L., Richter, Y., Woeginger, G. J.: All-norm approximation algorithms. J. Algorithms 52(2), 120-133 (2004)
[8]
Chvátal, V.: A Greedy Heuristic for the Set-Covering Problem. Mathematics of Operations Research 4(3), 233-235 (1979)
[9]
Cohen, E., Halperin, E., Kaplan, H., Zwick, U.: Reachability and Distance Queries via 2-hop Labels. SIAM J. Comput. 32 (2003)
[10]
Delling, D., Sanders, P., Schultes, D., Wagner, D.: Engineering Route Planning Algorithms. In: Lerner, J., Wagner, D., Zweig, K. A. (eds.) Algorithmics. LNCS, vol. 5515, pp. 117-139. Springer, Heidelberg (2009)
[11]
Feige, U.: A threshold of ln n for approximating set cover. J. ACM 45(4), 634-652 (1998)
[12]
Gallo, G., Grigoriadis, M. D., Tarjan, R. E.: A Fast Parametric Maximum Flow Algorithm and Applications. SIAM J. Comput. 18, 30-55 (1989)
[13]
Gavoille, C., Peleg, D., Pérennes, S., Raz, R.: Distance Labeling in Graphs. Journal of Algorithms 53, 85-112 (2004)
[14]
Goldberg, A. V.: A Practical Shortest Path Algorithm with Linear Expected Time. SIAM Journal on Computing 37, 1637-1655 (2008)
[15]
Kortsarz, G., Peleg, D.: Generating Sparse 2-Spanners. J. Alg. 17, 222-236 (1994)
[16]
Thorup, M.: Undirected Single-Source Shortest Paths with Positive Integer Weights in Linear Time. JACM 46, 362-394 (1999)

Cited By

View all
  • (2017)Beyond highway dimensionProceedings of the Twenty-Eighth Annual ACM-SIAM Symposium on Discrete Algorithms10.5555/3039686.3039781(1462-1478)Online publication date: 16-Jan-2017
  • (2017)Algorithmic and hardness results for the hub labeling problemProceedings of the Twenty-Eighth Annual ACM-SIAM Symposium on Discrete Algorithms10.5555/3039686.3039780(1442-1461)Online publication date: 16-Jan-2017
  • (2016)Highway Dimension and Provably Efficient Shortest Path AlgorithmsJournal of the ACM10.1145/298547363:5(1-26)Online publication date: 8-Dec-2016
  • Show More Cited By

Recommendations

Comments

Information & Contributors

Information

Published In

cover image Guide Proceedings
ICALP'13: Proceedings of the 40th international conference on Automata, Languages, and Programming - Volume Part I
July 2013
850 pages
ISBN:9783642392054
  • Editors:
  • Fedor V. Fomin,
  • Rūsiņš Freivalds,
  • Marta Kwiatkowska,
  • David Peleg

Sponsors

  • QuBalt: QuBalt
  • University of Latvia: University of Latvia

Publisher

Springer-Verlag

Berlin, Heidelberg

Publication History

Published: 08 July 2013

Qualifiers

  • Article

Contributors

Other Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

  • Downloads (Last 12 months)0
  • Downloads (Last 6 weeks)0
Reflects downloads up to 15 Jan 2025

Other Metrics

Citations

Cited By

View all
  • (2017)Beyond highway dimensionProceedings of the Twenty-Eighth Annual ACM-SIAM Symposium on Discrete Algorithms10.5555/3039686.3039781(1462-1478)Online publication date: 16-Jan-2017
  • (2017)Algorithmic and hardness results for the hub labeling problemProceedings of the Twenty-Eighth Annual ACM-SIAM Symposium on Discrete Algorithms10.5555/3039686.3039780(1442-1461)Online publication date: 16-Jan-2017
  • (2016)Highway Dimension and Provably Efficient Shortest Path AlgorithmsJournal of the ACM10.1145/298547363:5(1-26)Online publication date: 8-Dec-2016
  • (2014)Cluster before you hallucinateProceedings of the forty-sixth annual ACM symposium on Theory of computing10.1145/2591796.2591831(734-743)Online publication date: 31-May-2014
  • (2014)Shortest-path queries in static networksACM Computing Surveys10.1145/253053146:4(1-31)Online publication date: 1-Mar-2014
  • (2014)Hub LabelsProceedings of the 13th International Symposium on Experimental Algorithms - Volume 850410.1007/978-3-319-07959-2_22(259-270)Online publication date: 29-Jun-2014

View Options

View options

Media

Figures

Other

Tables

Share

Share

Share this Publication link

Share on social media