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 ...

In this video, you will learn how to solve and graph inequalities. When solving inequalities, you will use the same inverse operations as solving equations. The difference will be when you multiply or ...

We created a graph of theorem and corollaries in Fraleigh's "A First Course in Abstract Algebra" with directed edges from theorems/corollaries to the previous theorems/corollarie/examples they ...

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, ...

Graph algorithms can be expressed as sequences of linear, algebra-like operations through the use of the adjacency matrix. Adjacency matrices are used to represent graphs instead of vertices and edges ...

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 ...