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Topological sorting orders tasks precedence from "summary" of Introduction to Graph Theory by Douglas Brent West

Topological sorting is a fundamental concept in graph theory that is used to represent tasks or events that have a precedence relationship. The concept is simple yet powerful, allowing us to determine the order in which tasks can be executed based on their dependencies. In a topological sorting, we arrange the tasks in such a way that if task A must be completed before task B, then task A appears before task B in the ordering. This ensures that all dependencies are satisfied, and the tasks can be executed in a logical sequence without violating any constraints. To perform a topological sorting, we begin by constructing a directed graph where the vertices represent the tasks and the edges represent the precedence relationships between tasks. We then apply a depth-fir...
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    Introduction to Graph Theory

    Douglas Brent West

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