Abstract
This chapter provides a gentle introduction to fastest path finding algorithms in spatio-temporal graphs. We first discuss a simple adaptation of the Dijkstra’s algorithm for finding the fastest path. Following this we cover more advanced concepts of A* and bi-directional search on temporal digraphs. The chapter also discusses adaptations of few of the centrality metrics for temporal digraphs.
References
Anthonisse, J.M.: The rush in a directed graph. CWI Technical Report Stichting Mathematisch Centrum. Mathematische Besliskunde-BN 9/71, Stichting Mathematisch Centrum (1971)
Brandes, U.: A faster algorithm for betweenness centrality. J. Math. Sociol. 25(2), 163–177 (2001)
Chabini, I., Lan, S.: Adaptations of the A* algorithm for the computation of fastest paths in deterministic discrete-time dynamic networks. IEEE Trans. Intell. Transp. Syst. 3(1), 60–74 (2002)
Demiryurek, U., Banaei-Kashani, F., Shahabi, C., Ranganathan, A.: Online computation of fastest path in time-dependent spatial networks. In: Advances in Spatial and Temporal Databases. Lecture Notes in Computer Science, vol. 6849, pp. 92–111. Springer, Berlin/Heidelberg (2011)
Freeman, L.C.: Centrality in social networks conceptual clarification. Soc. Netw. 1(3), 215–239 (1979)
Freeman, L.C.: A set of measures of centrality based on betweenness. Sociometry 40(1), 35–41 (1977)
George, B., Kim, S.: Spatio-Temporal Networks. Springer, New York (2003). doi:10.1007/978-1-4614-4918-8
George, B., Shekhar, S., Kim, S.: Spatio-temporal network databases and routing algorithms. Tech. Rep. 08-039, University of Minnesota - Computer Science and Engineering (2008)
Gunturi, V.M.V., Shekhar, S., Joseph, K., Carley, K.M.: Scalable computational techniques for centrality metrics on temporally detailed social network. Mach. Learn. (2016). doi:10.1007/s10994-016-5583-7
Habiba, Tantipathananandh, C., Berger-Wolf, T.Y.: Betweenness centrality measure in dynamic networks. Tech. Rep. 2007-19, Center for Discrete Mathematics and Theoretical Computer Science (2007)
Jing, N., Huang, Y.W., Rundensteiner, E.A.: Hierarchical optimization of optimal path finding for transportation applications. In: Proceedings of the Fifth International Conference on Information and Knowledge Management (CIKM), pp. 261–268. ACM, Rockville (1996)
Karagiannis, T., Vojnovic, M.: Email information flow in large-scale enterprises. Technical Report Microsoft Research (2008)
Kim, H., Anderson, R.: Temporal node centrality in complex networks. Phys. Rev. E 85(2), 026107 (2012)
Kim, H., Tang, J., Anderson, R., Mascolo, C.: Centrality prediction in dynamic human contact networks. Comput. Netw. 56(3), 983–996 (2012)
Nannicini, G., Delling, D., Liberti, L., Schultes, D.: Bidirectional a* search for time-dependent fast paths. In: Experimental Algorithms, pp. 334–346. Springer, Berlin/Heidelberg (2008)
Nannicini, G., Delling, D., Schultes, D., Liberti, L.: Bidirectional a* search on time-dependent road networks. Networks 59(2), 240–251 (2012)
Orda, A., Rom, R.: Shortest-path and minimum-delay algorithms in networks with time-dependent edge-length. J. ACM 37(3), 607–625 (1990)
Shekhar, S., Liu, D.: Ccam: a connectivity-clustered access method for networks and network computations. IEEE Trans. Knowl. Data Eng. 9(1), 102–119 (1997)
Tang, J., Musolesi, M., Mascolo, C., Latora, V., Nicosia, V.: Analysing information flows and key mediators through temporal centrality metrics. In: Proceedings of the 3rd Workshop on Social Network Systems, SNS ’10, pp. 3:1–3:6 (2010)
Tyler, J.R., Tang, J.C.: When can i expect an email response? A study of rhythms in email usage. In: Proceedings of the Eighth Conference on European Conference on Computer Supported Cooperative Work, pp. 239–258 (2003)
Wu, F., Huberman, B.A.: Novelty and collective attention. Proc. Natl. Acad. Sci. USA 104(45), 17599–17601 (2007)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this chapter
Cite this chapter
Gunturi, V.M.V., Shekhar, S. (2017). Fastest Path for a Single Departure-Time. In: Spatio-Temporal Graph Data Analytics. Springer, Cham. https://doi.org/10.1007/978-3-319-67771-2_4
Download citation
DOI: https://doi.org/10.1007/978-3-319-67771-2_4
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-67770-5
Online ISBN: 978-3-319-67771-2
eBook Packages: Computer ScienceComputer Science (R0)