Synchronous regulated biological networks are often represented as logical diagrams, where the precise interactions between elements remain obscured. Here, we introduce a novel type of ...

ABSTRACT: Let G=( V,E ) be a graph. The first Zagreb index of a graph G is defined as ∑ u∈V d G 2 ( u ) , where d G ( u ) is the degree of vertex u in G . In this paper, we obtain two lower bounds ...

Abstract: We develop a discrete analogue of Hamilton-Jacobi theory in the framework of discrete Hamiltonian mechanics. The resulting discrete Hamilton-Jacobi equation is discrete only in time. The ...

The intersection of computational physics and machine learning has brought significant progress in understanding complex systems, particularly through neural networks. Graph neural networks (GNNs) ...

As mathematical abstractions go, graphs are among the simplest. Scatter a bunch of points in a plane. Connect some of them with lines. That’s all a graph is. And yet they are incredibly powerful. They ...

† Computational and Statistical Analytics Division and ‡ Advanced Computing, Mathematics, and Data Division, Pacific Northwest National Laboratory, Richland, Washington 99354, United States ¶ Division ...

Eligibility: All funded participants must be U.S. Citizens or permanent residents and all participants must be undergraduates (not have received a bachelor's degree) in the fall of 2024. Women, ...

BLOOMINGTON — El Paso-Gridley High School junior Savannah Hamilton will shoot for her third state medal this weekend as the Girls Wrestling Individual State Finals take place at Grossinger Motors ...

In October 2015 my time training mathematics teachers at a French high school in Port Vila, Vanuatu, was coming to an end. The principal invited me to share kava, a traditional drink in the country.