Graph reconfiguration and colouring problems investigate the transition between feasible solutions of a graph colouring instance. The central challenge is to determine a series of elementary vertex ...

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 ...

Dynamic graph colouring is a fundamental combinatorial optimization problem critical for temporal resource allocation, scheduling, and network management. Traditional methods (like Greedy or DSATUR) ...

In just three pages, a Russian mathematician has presented a better way to color certain types of networks than many experts thought possible. A paper posted online last month has disproved a ...

Abstract: Scheduling academic activity, staff, and spaces within schools is a complex yet vital exercise that requires attention to an enormous number of rigidity and flexibility constraints during ...