2. Introduction to Air Travel Problem
The chapter discusses the problem of air travel connectivity among various cities served by an airline. It highlights how to model the problem using graphs to represent cities and flights, explores different ways to analyze connectivity, and examines factors affecting the efficiency of solutions, including the number of cities and flights. Further, it touches on additional constraints such as cost and time when determining the best travel routes.
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Sections
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What we have learnt
- The structure and representation of a network of cities and direct flights can be modeled using graphs.
- Graph algorithms can help determine connectivity between cities and compute paths.
- Factors such as the number of cities and direct flights significantly influence algorithm complexity and efficiency.
Key Concepts
- -- Graph
- A representation of a network consisting of nodes (cities) and edges (direct flights), used to analyze connectivity.
- -- Connectivity
- The ability to reach one city from another through one or more flight connections.
- -- Algorithm Efficiency
- A measure of how effectively an algorithm performs based on parameters like the number of cities and flights.
- -- Planar Graph
- A type of graph that can be drawn on a flat surface without any edges crossing.
- -- Path
- A sequence of edges in a graph that defines a route from one node to another, following directionality.
Additional Learning Materials
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