These graphs are not only central to classic conjectures such as the Four Colour Theorem and Fulkerson’s Conjecture but also underpin modern studies in connectivity, colouring, and matching theory.

Chemical graph theory provides a rigorous framework for representing molecular structures as graphs, where vertices denote atoms and edges represent bonds. This mathematical abstraction ...

Refining with colors Mathematicians have developed various strategies to compare graphs. Since the 1970s, algorithms have ...

Graph theory analysis, a mathematical approach, has been applied in brain connectivity studies to explore the organization of network patterns. The computation of graph theory metrics enables the ...

Human brain connectivity is complex. Graph-theory-based analysis has become a powerful and popular approach for analyzing brain imaging data, largely because of its potential to quantitatively ...

Learn and revise how to plot coordinates and create straight line graphs to show the relationship between two variables with GCSE Bitesize Edexcel Maths.

Graph-theoretical (GT) representations, conceptually analogous to chemical formulas, offer a powerful and versatile framework for describing the structure of nanomaterials─including complex assemblies ...

Definition: Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the ...

YAGS - Yet Another Graph System is a GAP package for dealing with graphs, in the sense of Graph Theory (not bar graphs, pie charts nor graphs of functions). Hence our graphs are ordered pairs G= (V,E) ...

This text gives a reasonably deep account of material closely related to engineering applications. Topics like directed-graph solutions of linear equations, topological analysis of linear systems, ...

Graph Element Networks: adaptive, structured computation and memory. ICML19. Traditional applications of GNNs assume an a priori notion of entity (such as bodies, links or particles) and match every ...