David Conlon and Asaf Ferber have raised the lower bound for multicolor “Ramsey numbers,” which quantify how big graphs can get before patterns inevitably emerge. “There is no absolute randomness in ...

Graph theory isn’t enough. The mathematical language for talking about connections, which usually depends on networks — vertices (dots) and edges (lines connecting them) — has been an invaluable way ...

Microsoft is adding a graphing mode to the Windows 10 calculator. The company made the calculator open-sourced on GitHub earlier this month and has received over thirty suggestions from contributors ...

Taiwanese Journal of Mathematics, Vol. 24, No. 4 (August 2020), pp. 785-815 (31 pages) In 2011, Caro et al. introduced the monochromatic connection of graphs. An edge-coloring of a connected graph G ...

On first read, I understand that simply the title of my new paper – "A Cascadic Multigrid Algorithm for Computing the Fiedler Vector of Graph Laplacians" - can be quite daunting. Believe me, I am ...

When drawing mathematical expressions used in full-scale mathematics, such as fractions and functions, it is a formatting system specialized in mathematical formulasLaTeXAlthough it is commonly used, ...

For most of us, the word graph brings back memories (not always pleasant) of pencils and rulers and quadrille ruled paper, though a more recent generation may think instead of pie and bar charts ...

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 ...