The fastest Python implementation of the ForceAtlas2 graph layout algorithm, with Cython optimization for 10-100x speedup. Supports NetworkX, igraph, and raw adjacency matrices. ForceAtlas2 is a force ...

Abstract: This note considers the distributed optimization problem on directed graphs with nonconvex local objective functions and the unknown network connectivity. A new adaptive algorithm is ...

The original version of this story appeared in Quanta Magazine. If you want to solve a tricky problem, it often helps to get organized. You might, for example, break the problem into pieces and tackle ...

If you want to solve a tricky problem, it often helps to get organized. You might, for example, break the problem into pieces and tackle the easiest pieces first. But this kind of sorting has a cost.

This presents a set-based topological sorting algorithm for directed acyclic graphs (DAG). Unlike traditional algorithms that produce a linear order of nodes, it yields a linear sequence of sets of ...

Graph theory is an integral component of algorithm design that underlies sparse matrices, relational databases, and networks. Improving the performance of graph algorithms has direct implications to ...

Computer scientists at ETH Zurich have written a network flow algorithm that computes almost as fast as is mathematically possible. This algorithm computes the maximum traffic flow with minimum ...

The directed acyclic graph (DAG) vs. blockchain debate brings new life to the cryptocurrency industry. Ever since Satoshi Nakamoto first published the Bitcoin (BTC) white paper, distributed ledger ...

Abstract: This paper investigates the resource allocation problem for a group of agents communicating over a strongly connected directed graph, where the total objective function of the problem is ...

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 ...