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Date: 6-4-2022
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Agraph G is said to be regular when the degrees of its vertices are all equal. The common degree, say k, may be specified by calling it a k-regular graph. A 3-regular graph is said to be cubic. Cubic graphs have many properties and have played a key role in the four-color theorem.
Note. We have in a k-regular graph G with n vertices and m edges:
nk =2m
0-regular graph 1-regular graph 2-regular graph 3-regular graph
Graph Theory and Applications ,Jean-Claude Fournier, WILEY, page(34-35)
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