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Discuss concept of perfect matchings relate to edge coloring

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Reference no: EM131585940

Question: Recall that a matching in G is a sub graph with all vertices of degree 1 and that a perfect matching is a sub graph with all vertices of degree 1 that includes all vertices of G.

(a) Find as many different perfect matchings as you can in a 6-cycle graph.

(b) Find as many different perfect matchings as you can in K4.

(c) Create a 4-regular planar graph and properly edge-color it.

(d) How does the concept of perfect matchings relate to edge coloring of k-regular graphs?

Reference no: EM131585940

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