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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Gao, Jianhang Zhao, Qing Ren, Wei Swami, Ananthram Ramanathan, Ram Bar-Noy, Amotz |
| Copyright Year | 2012 |
| Description | Author affiliation: Raytheon BBN Technologies, Cambridge, MA, USA (Ramanathan, Ram) || Microsoft Corperation, Redmond, WA, USA (Ren, Wei) || Department of Computer Science, City University of New York, USA (Bar-Noy, Amotz) || Department of Electrical and Computer Engineering, University of California, Davis, USA (Gao, Jianhang; Zhao, Qing) || Army Research Laboratory, Adelphi, MD, USA (Swami, Ananthram) |
| Abstract | A hypergraph is a set V of vertices and a set of non-empty subsets of V , called hyperedges. Unlike graphs, hypergraphs can capture higher-order interactions in social and communication networks that go beyond a simple union of pairwise relationships. In this paper, we consider the shortest path problem in hypergraphs. We develop two algorithms for finding and maintaining the shortest hyperpaths in a dynamic network with both weight and topological changes. These two algorithms are the first to address the fully dynamic shortest path problem in a general hypergraph. They complement each other by partitioning the application space based on the nature of the change dynamics and the type of the hypergraph. We analyze the time complexity of the proposed algorithms and perform simulation experiments for both random geometric hypergraphs and the Enron email data set. The latter illustrates the application of the proposed algorithms in social networks for identifying the most important actor based on the closeness centrality metric. |
| Starting Page | 238 |
| Ending Page | 245 |
| File Size | 168205 |
| Page Count | 8 |
| File Format | |
| ISBN | 9781467322942 |
| e-ISBN | 9783901882456 |
| e-ISBN | 9783901882470 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2012-05-14 |
| Publisher Place | Germany |
| Access Restriction | Subscribed |
| Rights Holder | IFIP |
| Subject Keyword | Shortest path problem Heuristic algorithms Social network services Color Partitioning algorithms Complexity theory Electronic mail |
| Content Type | Text |
| Resource Type | Article |
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