Six Hollywood stars form a social group that has very special characteristics. Every distinct pair of stars in the group ...

AI systems continue to accelerate at finding solutions to math problems. OpenAI’s Ethan Knight posted on X that GPT-5.6 Sol Ultra, made ...

Kevin Lieber of Vsauce2 examines how basic matchstick puzzles help solve complex graph theory problems.

Total colouring addresses the problem of assigning colours simultaneously to the vertices and edges of a graph so that no two adjacent or incident elements share the same colour. Introduced in the ...

Matching preclusion examines the resilience of a network modelled as a graph by identifying the smallest set of edge removals that destroys all perfect matchings. Originating in the study of ...