When explaining algorithms that manipulate data structures like arrays, trees, or graphs, visuals are indispensable. A well-drawn diagram or animation can illustrate the dynamic nature of these ...

Introduction This project aims to analyze the performance of three shortest path algorithms: Dijkstra's, Bellman-Ford, and Floyd-Warshall. The algorithms were implemented in Python, and their ...

My implementation of Dijkstra's returns an array containing the set of shortest-path distances for each node in the graph from the source. If desired, it could be rewritten to return the list of edges ...

Many graph algorithms can be expressed as repetitive computations that resemble matrix multiplication in which the addition and multiplication operations have been replaced with generalized operations ...

Refining with colors Mathematicians have developed various strategies to compare graphs. Since the 1970s, algorithms have been able to test graph isomorphism, but in exponential time.

The transitive closure problem in O(1) time is solved by a new method that is far different from the conventional solution method. On processor arrays with reconfigurable bus systems, two O(1) time ...

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