Graph optimisation problems encompass a diverse range of challenges aimed at finding optimal or near‐optimal solutions in networks or graphs. These problems are pivotal in areas such as communication ...

The distance graph shows the height of a plane as it completes a journey. When the plane is at a height of 38,000 feet (ft), it travels at a constant speed of 550 miles per hour. Check how long the ...

Real life situations such as travelling over time and across distance can be drawn on a graph. Exact distances and times are plotted on the graph. These are shown as co-ordinates. These points are ...

For a given set M of positive integers, a well-known problem of Motzkin asked to determine the maximal asymptotic density of M-sets, denoted by μ(M), where an M-set is a set of non-negative integers ...

The problem considered in this paper requires determining the location of a given number of centers or facilities to minimize the sum of weighted distances to customers being served, subject to the ...