Recent research has explored various aspects of complexity theory, including connections between graph theory and matrix spaces, the computation of determinants, and optimization problems.

It’s often assumed that Dijkstra’s algorithm, or the A* graph traversal algorithm is used, but the reality is that although these pure graph theory algorithms are decidedly influential, they ...

Minor-Free Graph: A graph that does not contain a specified smaller graph (minor) as a subgraph, which is critical for certifying graph classes and in achieving computational optimisations.

In algorithms, as in life, negativity can be a drag. Consider the problem of finding the shortest path between two points on a graph — a network of nodes connected by links, or edges. Often, these ...

We propose a linear-time, single-pass, top-down algorithm for multiple testing on directed acyclic graphs, where nodes represent hypotheses and edges specify a partial ordering in which the hypotheses ...

A project headed by the SEI’s Scott McMillan took a step in 2020 toward standardizing graph algorithm application development in C++.

A theoretical computer scientist has presented an algorithm that is being hailed as a breakthrough in mapping the obscure terrain of complexity theory, which explores how hard computational problems ...