Model Question Paper and Answers PCCST303 Data Structures and Algorithms

 

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Data Structures and Algorithms PCCST303 KTU 2024 Scheme- Dr Binu V P

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Dijikstra's Algorithm for Shortest Path

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  Dijkstra’s Algorithm — Concept Purpose: To find the shortest path from a source vertex to all other vertices in a weighted graph (with non-negative edge weights ). Key Idea: We repeatedly pick the vertex with the minimum tentative distance (using a priority queue or min-heap ), and then update (relax) the distances to its neighboring vertices. ⚙️ Data Structures Used Array / Min-heap → to store and find the vertex with the minimum distance. Adjacency Matrix or Adjacency List → to represent the graph. Visited Set → to keep track of vertices whose shortest distance is finalized. 🧠 Algorithm Steps  Initialize the distance of all vertices to ∞ , and the source vertex to 0 . Mark all vertices as unvisited . Choose the unvisited vertex with the smallest distance (call it u ). For each neighbor v of u , check if the path through u gives a shorter distance : if dist [u] + weight (u, v) < dist [v] : dist[v] = dist[u] + weight (...
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Introduction to Graphs and Definitions

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