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dc.description.abstract | Matching is a part of graph theory that discuss to make a pair, that can be used to
solve many problems; one of them is the assignment problem. The assignment
problem is to make a pair problem for n as the employees and for n as the duties,
therefore each employee gets one duty, and each duty is given exactly for each
employee. The assignment problem can be solved by determining the matching
in weighted bipartite graph through Hungarian Method. It can be determined
from the alternating tree of a formed edge. If there is augmenting path, that
augmenting path is used to form the more number of matching. If the formed
path is alternating path, therefore the process is labeling the new node until
finding the augmenting vertices. This matching is called as the perfect matching
with the number of maximum weighed side in weighted bipartite graphs. The
result matching is the solution for the assignment problem by giving an employee
with a duty. | en_US |