Graph polynomials serve as robust algebraic encodings of the intricate combinatorial properties inherent to graphs. At the heart of this discipline lies the Tutte polynomial, an invariant that not ...

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 ...

Here, you'll find my exploration of some concepts covered in the Graph Theory course, leveraging the powerful resources of SageMath. SageMath is a versatile mathematical software renowned for its ...

Welcome to the Graph Theory course repository on GitHub! This repository is a central location for all the materials related to the course, including lecture notes, assignments, code samples, and ...

Graph theory is an area of pure mathematics that can be applied to networks and structures. This module will introduce you to the key properties of graphs. You will use theory of graphs to solve ...

Conservation Biology, Vol. 22, No. 2 (Apr., 2008), pp. 297-307 (11 pages) Connectivity of habitat patches is thought to be important for movement of genes, individuals, populations, and species over ...

Algebraic graph theory is a cornerstone in the study of electrical networks ranging from miniature integrated circuits to continental-scale power systems. Conversely, many fundamental results of ...

Abstract. The power graph 𝑃(𝐺) of a group 𝐺 is the graph whose vertex set is the group elements and two elements are adjacent if one is a power of the other. In this paper, we consider some graph ...