The study of geodetic numbers in graph theory represents a compelling fusion of abstract mathematical ideas with practical applications across network analysis, computational optimisation, and ...

Graph homomorphisms and chromatic numbers are foundational concepts in modern graph theory, with widespread applications that extend from combinatorial optimisation to theoretical computer science. A ...

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 ...

At 21, Ashwin Sah has produced a body of work that senior mathematicians say is nearly unprecedented for a college student. The proof joined a long list of mathematical results that Sah, who turned 21 ...

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 ...