Power graphs provide an innovative way to visualise and analyse the algebraic structure of finite groups. In a power graph, the elements of a finite group serve as vertices, and an edge is drawn ...

A mathematical abstraction of this type of setting is called a graph. The present course will study basic concepts, properties and applications of graphs. This will include a discussion of several ...

Abstract. Let 𝐼(𝐺;𝑥) denote the independence polynomial of a graph 𝐺. In this paper we study the unimodality properties of 𝐼(𝐺;𝑥) for some composite graphs 𝐺. Given two graphs 𝐺₁ and 𝐺₂, let ...

Combined graphs Sometimes, graphs may be combined together. For example, a climate graph and a flood hydrograph both present data using a bar chart and a line graph in a single graph.

Graph theory, a nearly 300-year-old discipline considered an element of discrete mathematics, is used to model many types of relationships and processes in physical, biological, social and information ...

Commuting Graphs and Finite Group Theory Publication Trend The graph below shows the total number of publications each year in Commuting Graphs and Finite Group Theory.

Solving sudoku puzzles may not require mathematics, but mathematicians have found plenty to say about the popular brainteasers.

We believe that graph theory has considerable promise for applications concerned with connectivity and ecological flows in general. Because the theory is already well developed in other disciplines, ...