A graph has six vertices every two of which are joined by
(a) A graph has six vertices every two of which are joined by an edge. Each edge is colored red or white. Show that the graph contains a monochromatic triangle.
(b) Is the result of (a) true for a graph with five vertices? Explain.
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prove theorem 1 as a corollary of theorem 2hint look at the conditions for whether the current flow of zero on edge e
prove theorem 1 as a corollary of theorem 2hint add a source and sink and view the matching problem as a flow
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