'Shortest paths problem' presentation slideshows

Analysis of Algorithms CS 477/677

Analysis of Algorithms CS 477/677. Final Exam Review Instructor: George Bebis. The Heap Data Structure. Def: A heap is a nearly complete binary tree with the following two properties: Structural property: all levels are full, except possibly the last one, which is filled from left to right

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Directed graphs

CS1. CS2. CS4. CS3. CS7. CS6. CS5. Directed graphs. Definition. A directed graph (or digraph ) is a pair (V, E), where V is a finite non-empty set of vertices, and E is a set of ordered pairs of distinct edges.

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- Used to solve the single-source shortest paths problem for weighted connected graphs ? Start at a vertex designated as the source ? Find shortest paths to all other vertices - Some uses for this problem: i . Transportation planning ii. Packet routing of communication networks

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