Back in the hazy olden days of the pre-2000s, navigating between two locations generally required someone to whip out a paper map and painstakingly figure out the most optimal route between those ...

The problem is to find a minimal k-edge-connected spanning subgraph of a graph G. A connected graph is k-edge-connected if it remains connected whenever fewer than k edges are removed. This repository ...

Complex networks represent interconnected systems found in fields ranging from sociology to biology and technological infrastructures. A critical aspect of analysing such networks is the study of ...

Abstract: Finding whether a graph is k-connected, and the identification of its k-connected components is a fundamental problem in graph theory. For this reason, there have been several algorithms for ...

The Erdős–Pósa property forms a pivotal concept in modern graph theory by establishing a profound duality between the problems of packing and covering cycles or other substructures. At its core, this ...

I'm wrapping up a discrete math course for my university. The last chapter gave us an introduction to graph theory, and I want to learn more. The chapter in question introduced some basic concepts: ...