There is a new sorting algorithm a deterministic O(m log2/3 n)-time algorithm for single-source shortest paths (SSSP) on directed graphs with real non-negative edge weights in the comparison-addition ...

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 O(m log n ⋅ log log n− −−−−−−−−−−−√) in the ...

Bellman-Ford algorithm So what do we do when we have negative weights? As long as there are no negative cycles in our weighted directed graph we can use the Bellman-Ford algorithm. Like Dijkstra’s ...

In graph theory, Dijkstra’s algorithm is used to solve the shortest path problem. It calculates the shortest paths from a source to all other vertices in a directed or undirected graph weighted by ...

Note that there is a proposed complexity lower bound of $\Omega(m+\min \{n \log n, n \log \log r\})$ for hierarchy-based algorithms for undirected real-weighted SSSP [Pettie & Ramachandran 2005], but ...

This is a school project from Data Structures and Algorithms course where graphs, Prim's Algorithm and Dijkstra's Algorithm are used effectively. It is an application of finding shortest path and ...

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In a finite, undirected graph we call two nodes that are directly connected by an edge of the graph each other’s “neighbours”. Let P and Q be two different nodes of the graph. We define a “path from P ...