An innovative approach to solving a stubborn, but elementary, question in graph theory — the mathematical study of networks of nodes and their connections — may signal the first major theoretical ...

Jacob Holm was flipping through proofs from an October 2019 research paper he and colleague Eva Rotenberg—an associate professor in the department of applied mathematics and computer science at the ...

Text: : "Graph Theory" by J. Adrian Bondy and U.S.R. Murty; Graduate Texts in Mathematics 244, Springer 2008. ISBN 978-1-84628-969-9, 2nd printing, 978-1-84628-970-5 (ebook). Notes will be supplied ...

Anti-Ramsey theory in graphs is a branch of combinatorial mathematics that examines the conditions under which a graph, when its edges are coloured, must necessarily contain a ‘rainbow’ subgraph – a ...

For any integer 𝑘 ≥ 2, a graph 𝐺 is called 𝑘-leaf-connected if |V(G)|≥k+1 and given any subset 𝑆 ⊆ 𝑉(𝐺) with |S|=k,G always has a spanning tree 𝑇 such that 𝑆 is precisely the set of leaves of ...

Imagine 100 dots scattered in front of you. In a haphazard variation on connect-the-dots, start drawing lines between the points. How many lines can you draw without producing a triangle? A square? An ...

Graphs can be used to summarise data, highlight patterns, and help reach conclusions. Choosing the right graph is very important when displaying data in geography. You must be able to extract and ...

Graphs are a useful way to show numerical data. There are a variety of graphs that can help highlight patterns and be used to reach conclusions. Choosing the right graph is very important. A bar chart ...