Abstract :
The development of knowledge for finishing a problem which can be
handled by an efficient algorithm is getting wider. The kind of problem can be
from easy until complicated problem, like graph coloring. Related to the
complication of that problem, from many kind of algorithms, it needs to know
which one of algorithms that is more efficient.
Graph coloring problem is one of the concept in undirected graph, how to
colour at every edge of undirected graph so that every edge connected with the
two vertex that giving a different color. Proper coloring with the minimum
number of color, in general, is a difficult task, this problem is one problem in
class of NP-complete that is hard to be solved.
One method to solve the graph coloring problem is using vizing
algorithm. Implementation of vizing algorithm where edge colored in either
maximum degree of the graph and maximum degree + 1 and complex time of
vizing algorithm is O(mn). For this goal give solution to graph coloring problem.