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Determine, with explanations, the chromatic number of each of the following graphs. Your answer may, in some cases, depend on m and/or n.Part a: Cn, the cycle on n vertices assuming n ≥ 3.Part b: Wn, the "wheel" graph formed by adding one "hub" vertex to Cn and connecting it to each other vertex in the graph.Part c: The Petersen graph used in class in the non-planarity example on Monday (this graph is also shown on page 65 of the course text).Part d: The graph below.
Determine, with explanations, the chromatic number of each of the following graphs. Your answer may, in some cases, depend on m and/or n.Part a: Cn, the cycle on n vertices assuming n ≥ 3.Part b: Wn, the "wheel" graph formed by adding one "hub" vertex to Cn and connecting it to each other vertex in the graph.Part c: The Petersen graph used in class in the non-planarity example on Monday (this graph is also shown on page 65 of the course text).Part d: The graph below.
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