A Review Article on Upgrading Shortest Path Problems

Authors

  • Shra Fatima Department of Computer Science & Engineering, Integral University, Lucknow, Uttar Pradesh, INDIA
  • Kamlesh Chandra Maurya Department of Computer Science & Engineering, Integral University, Lucknow, Uttar Pradesh, INDIA

DOI:

https://doi.org/10.31033/ijemr.13.3.31

Keywords:

Bellman-Ford Algorithm, Dijkstra Algorithm, Floyd–Warshall Algorithm, Genetic Algorithm

Abstract

The shortest path algorithm determines the shortest distance between the source and the destination.To solve the shortest path problem, we use a graph. Graph isa abstract notation used to represent the connection between pairs of object.A graph has vertices  and edges.Vertex is  a node of graph.A graph edge connects one or more graph vertex. Both directed and undirected graphs exist. The formal definition of a graph is a pair of sets, V and E, where V is the set of vertices and E is the set of edges that link the pairs of vertices. Edges in undirected graphs are those without a direction. Each edge can be crossed in both directions, which indicates a two-way link. Edges in directed graphs have a direction. Since each edge can only be crossed once, the edges signify a one-way relationship.Wight, which is used to determine the shortest path from, is contained in edges.from a source to a destination.Think about several maps of airline routes. A direct flight from the airport represented by vertex A to the airport represented by vertex B creates an edge between the two.B's airport is represented. Different shortest path algorithms exist to address the shortest path issue. They are the Genetic Algorithm, Dijkstra's, Floyd-Warshall, Bellman Ford, and algorithms.

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Published

2023-06-30

How to Cite

Shra Fatima, & Kamlesh Chandra Maurya. (2023). A Review Article on Upgrading Shortest Path Problems. International Journal of Engineering and Management Research, 13(3), 221–226. https://doi.org/10.31033/ijemr.13.3.31

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Articles