November 2024
Intermediate to advanced
416 pages
11h 11m
English
Many problems in business and logistics consist of matching items from two different sets. We might want to match people with jobs, conferences with locations, vehicles with routes, or adopted pets with homes. In each case, we must ask which item from one set is compatible with which item from the second set. This chapter explores this problem, called bipartite graph matching, in detail.
A bipartite graph is a graph consisting of two disjoint sets of nodes where each edge always has one end in each set. This graph naturally lends itself to the matching problem: each set of nodes represents one of the sets of ...