International Journal of Advanced Networking and Applications

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Application of Graph Theory in Online Network Services to Determine the Shortest Journey


Affiliations
1 Department of Humanities and Science, Rajalakshmi Institute of Technology, Chennai, 602124, India
 

In this paper, we determine the shortest route in online network services by applying the concept of graph theory. The investigation shows how the journey can be visualized as graphs in the nature of vertices and edges. In our research paper, the smallest distance from starting point to final destination is estimated using google map which provides the smallest cumulative cost. In this paper, our focus is to achieve the process in working of google map services using graph theoretical approach to determine the shortest journey and its implementation in computer science using Floyd Warshall algorithm. In this paper, we also give illustrations and prove some results.

Keywords

Distance Graph, Online Network Services, Shortest Route Problem, Floyd Warshall Algorithm.
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  • Application of Graph Theory in Online Network Services to Determine the Shortest Journey

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Authors

B. Logeshwary Natarajan
Department of Humanities and Science, Rajalakshmi Institute of Technology, Chennai, 602124, India
M. K. Balaji
Department of Humanities and Science, Rajalakshmi Institute of Technology, Chennai, 602124, India

Abstract


In this paper, we determine the shortest route in online network services by applying the concept of graph theory. The investigation shows how the journey can be visualized as graphs in the nature of vertices and edges. In our research paper, the smallest distance from starting point to final destination is estimated using google map which provides the smallest cumulative cost. In this paper, our focus is to achieve the process in working of google map services using graph theoretical approach to determine the shortest journey and its implementation in computer science using Floyd Warshall algorithm. In this paper, we also give illustrations and prove some results.

Keywords


Distance Graph, Online Network Services, Shortest Route Problem, Floyd Warshall Algorithm.

References