Abstract: In this paper we consider some problems of graph theory from the linear algebra point of view. It turns out, that this approach allows us to prove certain theorems on minimum edge coverings ...

Commutative algebra and graph theory are two vibrant areas of mathematics that have grown increasingly interrelated. At this interface, algebraic methods are applied to study combinatorial structures, ...

When I started studying math at university, I always felt a disconnect between how math was taught and how I most easily learned math. This project is an attempt to approach the abstract concepts ...

ABSTRACT: Let G be a finite and undirected simple graph on n vertices, A(G) is the adjacency matrix of G, λ1,λ2,...,λn are eigenvalues of A(G), then the energy of G is . In this paper, we determine ...

Graphs are often used in everyday life to give information about how two quantities are related. A conversion graph is a straight-line graph that shows the relationship between two units of ...

Abstract: Accurate traffic prediction is crucial for urban traffic management. Spatial-temporal graph neural networks, which combine graph neural networks with time series processing, have been ...