A new technique breaks Dijkstra's 70-year-old record: it finds routes faster in huge networks, changing graph theory forever.

Description: The graph visualizer currently supports traversals. A great addition would be to implement a shortest path algorithm. This would involve allowing users to add weights to edges, select a ...

The Progressive Edge-Growth (PEG) algorithm for generating Tanner graphs (parity check matrices) for LDPC codes. Its main goal is to avoid short cycles in the graph, which improves performance under ...

Abstract: Shortest path mining is one of the classic problems in graph theory. How to design an efficient multi-source shortest paths mining algorithm has practical significance. In this article, an ...

Abstract: In undirected graphs with real non-negative weights, we give a new randomized algorithm for the single-source shortest path (SSSP) problem with running time ...

ABSTRACT: The excessive computational burden encountered in power market analysis has necessitated the need for obtaining reduced equivalent networks that preserve flows along certain selected lines ...