Abstract: Spectral graph theory is the study of the eigenvalues and eigenvectors of matrices associated with graphs. In this tutorial, we will try to provide some intuition as to why these ...

ABSTRACT: An algorithm is being developed to conduct a computational experiment to study the dynamics of random processes in an asymmetric Markov chain with eight discrete states and continuous time.

According to mathematical legend, Peter Sarnak and Noga Alon made a bet about optimal graphs in the late 1980s. They’ve now both been proved wrong. It started with a bet. In the late 1980s, at a ...

In the modern digital age, managing and extracting information from extensive PDF documents can be a daunting task. However, with the advancement of AI technology, tools like Bing AI in Microsoft Edge ...

Graph theory is the study of networks and connections between variables. In the real world it has uses from powering search engine algorithms to fixing airline scheduling. Now, scientists are using it ...

Over the last few decades, enhanced sampling methods have been continuously improved. Here, we exploit this progress and propose a modular workflow for blind reaction discovery and determination of ...

ABSTRACT: In this paper we study the relationship between minimum rank of graph G and the minimum rank of graph for some families of special graph G, where is the jth power of graph G.