In this Lecture i discussed Graph Coloring
0:00 Intro & syllabus discussion
0:21 Graph coloring
0:51 chromatic number
1:03 THE FOUR-COLOR THEOREM
1:22 EXAMPLE 1 What are the chromatic numbers of the graphs G and H shown in Figure
3:37 EXAMPLE 2 What is the chromatic number of Kn?
4:18 EXAMPLE 3 What is the chromatic number of the complete bipartite graph Km,n, where m and n are positive integers?
5:34 EXAMPLE 4 What is the chromatic number of the graph Cn, where n ≥ 3.
6:22 Applications of Graph Colorings
6:55 EXAMPLE 5 Find the number of colors needed to color the map so that no two adjacent regions have the same color.
9:19 EXAMPLE 6 find the chromatic number of the given graph.
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