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Biswas, Siddhartha Sankar
- Z-Dijkstra’s Algorithm to solve Shortest Path Problem in a Z-Graph
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Authors
Affiliations
1 Department of Computer Science and Engineering, Jamia Hamdard University Hamdard Nagar, New Delhi – 110062, IN
1 Department of Computer Science and Engineering, Jamia Hamdard University Hamdard Nagar, New Delhi – 110062, IN
Source
Oriental Journal of Computer Science and Technology, Vol 10, No 1 (2017), Pagination: 180-186Abstract
In this paper the author introduces the notion of Z-weighted graph or Z-graph in Graph Theory, considers the Shortest Path Problem (SPP) in a Z-graph. The classical Dijkstra’s algorithm to find the shortest path in graphs is not applicable to Z-graphs. Consequently the author proposes a new algorithm called by Z-Dijkstra's Algorithm with the philosophy of the classical Dijkstra's Algorithm to solve the SPP in a Z-graph.
Keywords
Z-Number, Z-Distance, Z-Weighted Graph, Z-Graph, Z-Dijkstra's.Full Text
References
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- i-v Fuzzy Shortest Path in a Multigraph
Abstract Views :262 |
PDF Views:3
Authors
Affiliations
1 Department of Computer Science & Engineering, Jamia Hamdard University, Hamdard Nagar, New Delhi – 62, IN
1 Department of Computer Science & Engineering, Jamia Hamdard University, Hamdard Nagar, New Delhi – 62, IN
Source
Oriental Journal of Computer Science and Technology, Vol 10, No 2 (2017), Pagination: 364-370Abstract
In this research paper the author introduces the notion of i-v fuzzy multigraph. The classical Dijkstra’s algorithmic rule to search out the shortest path in graphs isn’t applicable to fuzzy graph theory. Consequently the author proposes a brand new algorithmic rule referred to as by IVF-Dijkstra’s algorithmic rule with the philosophy of the classical Dijkstra’s formula to unravel the SPP in an i-v fuzzy multigraph.Keywords
i-v Fuzzy Number, IVFSPA, IVF-Dijkstra’s.Full Text
References
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- Biswas, S. S., Alam, B. and Doja, M. N., Real Time Graphs For Communication Networks : A Fuzzy Mathematical Model, Sadhana-Academy Proceedings in Engineering Sciences (Springer Publications) , ISSN (print version) : 0256-2499 ISSN(electronic version) : 0973-7677 , Journal no.: 12046.
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- Biswas, S. S., Alam, B. and Doja, M. N., An Algorithm For Extracting Intuitionistic Fuzzy Shortest Path in A Graph, Applied Computational Intelligence and Soft Computing , Vol.2(2) 2012 (Hindawi Publishing Corporation), Article ID 970197, ISSN: 1687-9724 e-ISSN: 1687-9732, http://dx.doi.org/10.1155/2013/970197.
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- Biswas, S. S., Alam, B. and Doja, M. N., Generalization of Dijkstra’s Algorithm For Extraction of Shortest Paths in Directed Multigraphs, Journal of Computer Science, Vol.9 (3) 2013: pp 377-382, ISSN 1549-3636, doi: 10.3844/jcssp.2013.377.382.
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