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 ...

In this paper, we show that a graph G contains no 4-cycles if and only if ∥Ḡ∥ is a strong Z₂-deformation retract of the box complex ∥B (G)∥ of G, where Ḡ is the 1-dimensional free simplicial ...

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 ...

Understanding the relationships in graph database theory allows us to work with the new 'shape' of data itself. Businesspeople like graphs. C-suite executives are fond of pie charts, Venn diagrams ...

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

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 ...

A risk graph is a two-dimensional graphical representation that displays the profit or loss of an option at various prices.