Abstract: This article introduces a reactive methodology tailored for a wide range of practical graph-based path planning applications. In these scenarios, a robot with limited sensor capabilities ...

Most of you have used a navigation app like Google Maps for your travels at some point. These apps rely on algorithms that compute shortest paths through vast networks. Now imagine scaling that task ...

Descriptive set theorists study the niche mathematics of infinity. Now, they’ve shown that their problems can be rewritten in the concrete language of algorithms. All of modern mathematics is built on ...

ABSTRACT: A new nano-based architectural design of multiple-stream convolutional homeomorphic error-control coding will be conducted, and a corresponding hierarchical implementation of important class ...

The Graphviz algorithm for undirected graph layout is very sensitive to the choice of the sep parameter. We should make it configurable in the UI. Currently, it is hard-coded. To get acceptable ...

The art of finding patterns or communities plays a central role in the analysis of structured data such as networks. Community detection in graphs has become a field on its own. Real-world networks, ...

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 this blog post, I will begin by introducing the concept of cut sparsifier for a given graph \(G\), which has been a powerful tool in the design of graph algorithms. Following that, I will present a ...

If you’ve been making the same commute for a long time, you’ve probably settled on what seems like the best route. But “best” is a slippery concept. Perhaps one day there’s an accident or road closure ...