The graph colouring problem, a classic NP-hard challenge, is central to many practical applications such as scheduling, resource allocation and network management. Recent advances have seen the ...

Graph coloring has been employed since the 1980s to efficiently compute sparse Jacobian and Hessian matrices using either finite differences or automatic differentiation. Several coloring problems ...

A theoretical computer scientist has presented an algorithm that is being hailed as a breakthrough in mapping the obscure terrain of complexity theory, which explores how hard computational problems ...

Simulated annealing is a randomized technique proposed by S. Kirkpatrick, C. D. Gelatt and M. P. Vecchi for improving local optimization algorithms. Here we report on experiments at adapting simulated ...

Furthermore, now mathematicians are looking for algorithms to efficiently detect perfect graphs. Others are seeking methods to find the minimal coloring the strong perfect graph theorem has shown ...

Two computer scientists found — in the unlikeliest of places — just the idea they needed to make a big leap in graph theory.