Depict that a k-connected graph with at least vertices

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Reference no: EM13204406

Show that a k-connected graph with at least 2k vertices contains a matching of size k. Is this best possible?

Hint: use following theorem.

Theorem: Every graph G = (V,E) contains a vertex set S with the following two properties:

(i) S is matchable to CG-S;

(ii) Every component of G-S is factor-critical.

Reference no: EM13204406

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