Two Phase Shortest Path Algorithm for Non-Negative Undirected Graphs
Breadth First Search (BFS) can calculate the shortest path for un-weighted graphs very efficiently but when it comes to non-negative weighted graphs it fails at a point when a successor updates a predecessor. Such nodes are being referred as Culprit nodes in this research. These Culprit nodes are th...
| Main Authors: | , , , |
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| Format: | Conference or Workshop Item |
| Published: |
2010
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| Online Access: | http://scholars.utp.edu.my/id/eprint/1688/ |
| _version_ | 1848659155571703808 |
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| author | Qureshi, MA. Hassan, M.F. Safdar, S. Akhbar, R. |
| author_facet | Qureshi, MA. Hassan, M.F. Safdar, S. Akhbar, R. |
| author_sort | Qureshi, MA. |
| building | UTP Institutional Repository |
| collection | Online Access |
| description | Breadth First Search (BFS) can calculate the shortest path for un-weighted graphs very efficiently but when it comes to non-negative weighted graphs it fails at a point when a successor updates a predecessor. Such nodes are being referred as Culprit nodes in this research. These Culprit nodes are the ones that cause error in shortest path in an algorithm that traverses like BFS. This research targets on recognizing and marking Culprit nodes to disengage them until they are properly and completely updated. Processing through such nodes is postponed until all possible updates are made on these nodes nullifying all possible chances of errors. As nodes are being traversed in BFS fashion with few violations and additions promising a O(k(|V| + |E|)) time algorithm where 0<k<log n. More over this algorithm does not need any complex data structure. |
| first_indexed | 2025-11-13T07:25:56Z |
| format | Conference or Workshop Item |
| id | oai:scholars.utp.edu.my:1688 |
| institution | Universiti Teknologi Petronas |
| institution_category | Local University |
| last_indexed | 2025-11-13T07:25:56Z |
| publishDate | 2010 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | oai:scholars.utp.edu.my:16882010-05-09T16:56:15Z http://scholars.utp.edu.my/id/eprint/1688/ Two Phase Shortest Path Algorithm for Non-Negative Undirected Graphs Qureshi, MA. Hassan, M.F. Safdar, S. Akhbar, R. QA75 Electronic computers. Computer science QA76 Computer software Breadth First Search (BFS) can calculate the shortest path for un-weighted graphs very efficiently but when it comes to non-negative weighted graphs it fails at a point when a successor updates a predecessor. Such nodes are being referred as Culprit nodes in this research. These Culprit nodes are the ones that cause error in shortest path in an algorithm that traverses like BFS. This research targets on recognizing and marking Culprit nodes to disengage them until they are properly and completely updated. Processing through such nodes is postponed until all possible updates are made on these nodes nullifying all possible chances of errors. As nodes are being traversed in BFS fashion with few violations and additions promising a O(k(|V| + |E|)) time algorithm where 0<k<log n. More over this algorithm does not need any complex data structure. 2010-02 Conference or Workshop Item PeerReviewed Qureshi, MA. and Hassan, M.F. and Safdar, S. and Akhbar, R. (2010) Two Phase Shortest Path Algorithm for Non-Negative Undirected Graphs. In: IEEE International Conference of Communication Software and Networks (ICCSN 2010), 28-26 Feb 2010, Singapore. http://doi.ieeecomputersociety.org/10.1109/ICCSN.2010.97 |
| spellingShingle | QA75 Electronic computers. Computer science QA76 Computer software Qureshi, MA. Hassan, M.F. Safdar, S. Akhbar, R. Two Phase Shortest Path Algorithm for Non-Negative Undirected Graphs |
| title | Two Phase Shortest Path Algorithm for Non-Negative Undirected Graphs |
| title_full | Two Phase Shortest Path Algorithm for Non-Negative Undirected Graphs |
| title_fullStr | Two Phase Shortest Path Algorithm for Non-Negative Undirected Graphs |
| title_full_unstemmed | Two Phase Shortest Path Algorithm for Non-Negative Undirected Graphs |
| title_short | Two Phase Shortest Path Algorithm for Non-Negative Undirected Graphs |
| title_sort | two phase shortest path algorithm for non-negative undirected graphs |
| topic | QA75 Electronic computers. Computer science QA76 Computer software |
| url | http://scholars.utp.edu.my/id/eprint/1688/ http://scholars.utp.edu.my/id/eprint/1688/ |