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CONTACT: PRAVEEN KUMAR. L (, +91 – 9791938249)
MAIL ID: sunsid1989@gmail.com, praveen@nexgenproject.com
Web: www.nexgenproject.com, www.finalyear-ieeeprojects.com
PROXIES FOR SHORTEST PATH AND DISTANCE QUERIES
ABSTRACT:
Computing shortest paths and distances is one of the fundamental problems
on graphs, and it remains a challenging task today. This article investigates a
light-weight data reduction technique for speeding-up shortest path and
distance queries on large graphs. To do this, we propose a notion of routing
proxies (or simply proxies), each of which represents a small subgraph,
referred to as deterministic routing areas (DRAs). We first show that routing
proxies hold good properties for speeding-up shortest path and distance
queries. Then we design a linear-time algorithm to compute routing proxies
and their corresponding DRAs. Finally, we experimentally verify that our
solution is a general technique for reducing graph sizes and speeding-up
shortest path and distance queries, using real-life large graphs.
CONCLUSION:
We have studied how to speed-up (exact) shortest path and distance queries
on large weighted undirected graphs. To do this, we propose a light-weight
data reduction technique, a notion of proxies such that each proxy represents
a small subgraph, referred to as DRAs. We have shown that proxies and DRAs
can be computed efficiently in linear time, and incur only a very small amount
of extra space. We have also verified, both analytically and experimentally,
that proxies significantly reduce graph sizes and improve efficiency of existing
methods, such as bidirectional Dijkstra, ARCFLAG, TNR and AH for shortest
CONTACT: PRAVEEN KUMAR. L (, +91 – 9791938249)
MAIL ID: sunsid1989@gmail.com, praveen@nexgenproject.com
Web: www.nexgenproject.com, www.finalyear-ieeeprojects.com
path and distance queries. A couple of topics are targeted for future work. We
are to extend our techniques for dynamic graphs, as real-life networks are
often dynamic [25], [40]. We are also to explore the possibility of revising
routing proxies for directed graphs and other classes of graph queries, e.g.,
reachability.
REFERENCES
[1] Graph-tool. http://projects.skewed.de/graph-tool/.
[2] J. Arz, D. Luxen, and P. Sanders. Transit node routing reconsidered. In SEA,
2013.
[3] H. Bast, D. Delling, A. Goldberg, M. M¨ uller-Hannemann, T. Pajor, P.
Sanders, D. Wagner, and R. Werneck. Route planning in transportation
networks. In Technical Report MSR-TR-2014-4. Microsoft Research, 2014.
[4] E. P. F. Chan and H. Lim. Optimization and evaluation of shortest path
queries. VLDB J., 16(3):343–369, 2007.
[5] J. Cheng, Y. Ke, S. Chu, and C. Cheng. Efficient processing of distance
queries in large graphs: a vertex cover approach. In SIGMOD, 2012.
[6] T. H. Cormen, C. E. Leiserson, R. L. Rivest, and C. Stein. Introduction to
Algorithms. The MIT Press, 2001.
[7] D. Delling, A. V. Goldberg, T. Pajor, and R. F. Werneck. Robust distance
queries on massive networks. In ESA, 2014.
CONTACT: PRAVEEN KUMAR. L (, +91 – 9791938249)
MAIL ID: sunsid1989@gmail.com, praveen@nexgenproject.com
Web: www.nexgenproject.com, www.finalyear-ieeeprojects.com
[8] D. Delling, A. V. Goldberg, I. Razenshteyn, and R. F. Werneck. Graph
partitioning with natural cuts. In IPDPS, 2011.
[9] R. Diestel. Graph Theory. Springer, 2005.
[10] E. W. Dijkstra. A note on two problems in connexion with graphs.
Numerische Mathematik, 1:269–271, 1959.

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PROXIES FOR SHORTEST PATH AND DISTANCE QUERIES

  • 1. CONTACT: PRAVEEN KUMAR. L (, +91 – 9791938249) MAIL ID: sunsid1989@gmail.com, praveen@nexgenproject.com Web: www.nexgenproject.com, www.finalyear-ieeeprojects.com PROXIES FOR SHORTEST PATH AND DISTANCE QUERIES ABSTRACT: Computing shortest paths and distances is one of the fundamental problems on graphs, and it remains a challenging task today. This article investigates a light-weight data reduction technique for speeding-up shortest path and distance queries on large graphs. To do this, we propose a notion of routing proxies (or simply proxies), each of which represents a small subgraph, referred to as deterministic routing areas (DRAs). We first show that routing proxies hold good properties for speeding-up shortest path and distance queries. Then we design a linear-time algorithm to compute routing proxies and their corresponding DRAs. Finally, we experimentally verify that our solution is a general technique for reducing graph sizes and speeding-up shortest path and distance queries, using real-life large graphs. CONCLUSION: We have studied how to speed-up (exact) shortest path and distance queries on large weighted undirected graphs. To do this, we propose a light-weight data reduction technique, a notion of proxies such that each proxy represents a small subgraph, referred to as DRAs. We have shown that proxies and DRAs can be computed efficiently in linear time, and incur only a very small amount of extra space. We have also verified, both analytically and experimentally, that proxies significantly reduce graph sizes and improve efficiency of existing methods, such as bidirectional Dijkstra, ARCFLAG, TNR and AH for shortest
  • 2. CONTACT: PRAVEEN KUMAR. L (, +91 – 9791938249) MAIL ID: sunsid1989@gmail.com, praveen@nexgenproject.com Web: www.nexgenproject.com, www.finalyear-ieeeprojects.com path and distance queries. A couple of topics are targeted for future work. We are to extend our techniques for dynamic graphs, as real-life networks are often dynamic [25], [40]. We are also to explore the possibility of revising routing proxies for directed graphs and other classes of graph queries, e.g., reachability. REFERENCES [1] Graph-tool. http://projects.skewed.de/graph-tool/. [2] J. Arz, D. Luxen, and P. Sanders. Transit node routing reconsidered. In SEA, 2013. [3] H. Bast, D. Delling, A. Goldberg, M. M¨ uller-Hannemann, T. Pajor, P. Sanders, D. Wagner, and R. Werneck. Route planning in transportation networks. In Technical Report MSR-TR-2014-4. Microsoft Research, 2014. [4] E. P. F. Chan and H. Lim. Optimization and evaluation of shortest path queries. VLDB J., 16(3):343–369, 2007. [5] J. Cheng, Y. Ke, S. Chu, and C. Cheng. Efficient processing of distance queries in large graphs: a vertex cover approach. In SIGMOD, 2012. [6] T. H. Cormen, C. E. Leiserson, R. L. Rivest, and C. Stein. Introduction to Algorithms. The MIT Press, 2001. [7] D. Delling, A. V. Goldberg, T. Pajor, and R. F. Werneck. Robust distance queries on massive networks. In ESA, 2014.
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