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 ...

This paper summarizes the known results on graphs with smallest eigenvalue around -2, and completes the theory by proving a number of new results, giving comprehensive tables of the finitely many ...

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 ...

The second type of graph store, property graphs, generally do not store RDF, and differ from semantic graphs in two critical ways. Nodes can store attributes (scalar values) and properties that ...

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 ...

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 ...

Each 9-by-9 sudoku grid is composed of nine 3-by-3 subgrids. Initially, some of these 81 squares contain a number, from 1 through 9, but others do not. The object is to fill in the empty squares ...