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Data Structures GTU Exam Prep

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Data Structures GTU Exam Prep

This is a GTU BE Semester-III Data Structures exam. The paper covers fundamental data structures: stacks, queues, linked lists, trees (BST, AVL, 2-3, threaded), graphs (BFS, DFS, MST, shortest path), hashing, sorting, an...

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7 marks Long answer

Write an algorithm for the following stack operations: 1) PUSH 2) POP 3) DISPLAY

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PUSH: if top < MAX-1, increment top and set stack[top]=item; POP: if top >= 0, return stack[top] and decrement top; DISPLAY: iterate from top down to 0 and print each element.

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7 marks Long answer

Write an algorithm for the following queue operations: 1) INSERT 2) DELETE 3) DISPLAY

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INSERT: if rear < MAX-1, increment rear and set queue[rear]=item; DELETE: if front

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7 marks Long answer

Construct the minimum spanning tree using prim’s algorithm for the following graph.

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Start from an arbitrary node, repeatedly add the minimum weight edge that connects a visited node to an unvisited node, until all nodes are visited.

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7 marks Long answer

Construct the minimum spanning tree using krushkal’s algorithm for the following graph.

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Sort all edges by weight, then add the smallest edge that doesn't form a cycle, until all vertices are connected.

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