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 ...

A canonical problem in computer science is to find the shortest route to every point in a network. A new approach beats the classic algorithm taught in textbooks.

For a multiagent system with a directed graph as its interaction topology, the consensus convergence rate is determined by the algebraic connectivity (the smallest real part of nonzero Laplacian ...

Teitz, M.B. and Bart, P. (1968) Heuristic Methods for Estimating the Generalized Vertex Median of a Weighted Graph. Operations Research, 16, 955-961.

DAG Architecture and Why It Matters for Blockchain Scaling Waterfall Network is a layer-1 protocol that implements a Directed Acyclic Graph (DAG) as its foundational ledger.

The Spatiotemporal progression of voxels on positive dynamic graphs constructed a hierarchy by k-core percolation and afferent information flow by volume entropy and directed graph methods.

Trophic coherence and non-normality are both ways of describing the overall directionality of directed graphs or networks. Trophic coherence can be regarded as a measure of how neatly a graph can be ...

The DoT framework enhances reasoning capabilities in large language models by modeling iterative reasoning as a directed acyclic graph within a single LLM. It incorporates natural language critiques ...