In this video i explain what a coloring of a graph is in graph theory. The chromatic number χ g chi g χ g of a graph g g g is the minimal number of colors for which such an.
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This video discusses the concept of graph coloring as well as the chromatic number.
Chromatic number in coloring. A graph coloring for a graph with 6 vertices. You can also connect with us at. The chromatic polynomial is a function p g t that counts the number of t colorings of g as the name indicates for a given g the function is indeed a polynomial in t for the example graph p g t t t 1 2 t 2 and indeed p g 4 72.
It is impossible to color the graph with 2 colors so the graph has chromatic number 3. A graph coloring is an assignment of labels called colors to the vertices of a graph such that no two adjacent vertices share the same color. I also define the chromatic number of a graph and discuss a good procedure for colori.
Get more notes and other study material of graph theory. Therefore chromatic number of the given graph 3. The chromatic polynomial includes at least as much information about the colorability of g as does the chromatic number.
The given graph may be properly colored using 3 colors as shown below to gain better understanding about how to find chromatic number watch this video lecture. Minimum number of colors required to color the given graph are 3.
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