Draw a graph with 64 vertices representing the squares of a, Mathematics

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Draw a graph with 64 vertices representing the squares of a

Draw a graph with 64 vertices representing the squares of a chessboard. Connect two vertices with an edge if you can move legally between the corresponding squares with a single move of a knight. [The moves of a knight are L-shaped, two squares vertically (or horizontally) followed by one square horizontally (respectively, vertically).]

(a) Explain why this graph is bipartite.

(b) What are the degrees of the vertices?

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Mathematics: Draw a graph with 64 vertices representing the squares of a

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Mathematics: Draw a graph with 64 vertices representing the squares of a

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