IEEE

Effects of Adding Edges on the Consensus Convergence Rate of Weighted Directed Chain Networks

Abstract: 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 ...
Quanta Magazine

New Method Is the Fastest Way To Find the Best Routes

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.
www.cs.cmu.edu

Combinatorial Maximum Flow via Weighted Push-Relabel on Shortcut Graphs

Abstract: In this talk, I will present a new combinatorial algorithm for maximum flow that is based on running the weighted push-relabel algorithm introduced in [BBST ...
C&EN

Vertex-Edge-Weighted Molecular Graphs: A Study on Topological Indices and Their Relevance to Physicochemical Properties of Drugs Used in Cancer Treatment

Department of Mathematics, Nevşehir Hacl Bektaş Veli University, 50300 Nevşehir, Turkey ...
Frontiers

The connection between non-normality and trophic coherence in directed graphs

1 Centre for Systems Modelling and Quantitative Biomedicine, University of Birmingham, Edgbaston, United Kingdom 2 School of Mathematics, University of Birmingham, Edgbaston, United Kingdom Trophic ...
marktechpost

Diagram of Thought (DoT): An AI Framework that Models Iterative Reasoning in Large Language Models (LLMs) as the Construction of a Directed Acyclic Graph (DAG) within a Single ...

Previous research on reasoning frameworks in large language models (LLMs) has explored various approaches to enhance problem-solving capabilities. Chain-of-Thought (CoT) introduced articulated ...