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 ...

The unified framework helps integrate earlier work and leads to fresh insights; enables the design of more efficient algorithms for many problems; leads to new algorithms for others; and eases the ...

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 ...

Bhaswar B. Bhattacharya, COLLISION TIMES IN MULTICOLOR URN MODELS AND SEQUENTIAL GRAPH COLORING WITH APPLICATIONS TO DISCRETE LOGARITHMS, The Annals of Applied Probability, Vol. 26, No. 6 (December ...

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

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 ...