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The decision to close Edge Creative, the upstart agency that has had Coca-Cola as its sole client since 1991, and to reassign its responsibilities to traditional Madison Avenue shops is indicative of the significant shifts the company is making in response to pressure from competitors and investors.
Make each close edge independently with probability 1/ k red; every edge that is not red becomes blue.
With probability at least (1−1/ k )(2 k −1)(2 k +2)= Ω (1) each close edge of W becomes blue (and hence every edge of W is blue).
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4.1, may be arbitrarily large and may contain Ω(k) close edges.
Moreover, such a path contains roughly 2 k(2 k−1)= Ω(k) close edges.
This lower bound on the number of close edges matches the upper bound given by Lemma 2.
Let m be the cardinality of the set of close edges in the graph, we may identify {1,2,…, m} with this set.
□ If S is an optimum solution of size at most k, then S has a witness W having at most (2 k−1)(2 k+2) close edges.
Let S be an optimum solution to (G, k), and let W be a witness having at most (2 k−1)(2 k+2) close edges, guaranteed by Lemma 2.
Structural elements have been applied to dilate, erode and close boundary edges.
Reach for the closest edge.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com