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 ...

Formulated in 1961 by mathematician Claude Berge, the conjecture states that two different types of graphs, called Berge graphs and perfect graphs, are actually the same.

Learn how to interpret and construct graphs in this guide for students aged 11 to 14 from BBC Bitesize.

Nevertheless, across many different types of trend participants consistently thought sales would be lower when the data were presented as bar charts than line graphs or point graphs.

Graphs and charts Different types of graphs and charts are used to show results. They need to be drawn and labelled correctly. Scientists use patterns in the data to reach a conclusion.

In this edition of Five Apps, we take a look at five free web-based tools for creating different types of graphs from dynamic data.