Скачать или смотреть Graphs Have at Least n-m Components | Graph Theory

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A graph with n vertices and m edges has at least n-m components. We justify this claim in today's graph theory lesson. Imagine a graph with its n vertices and without any edges. This graph would have n components, each vertex is a trivial subgraph. Then, each additional edge could join at most two components, thus reducing the number of components by 1 at most. Hence, with m edges, the graph must have at least n-m components. #GraphTheory

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