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On a problem of P. Turan concerning graphs

Casimir Zarankiewicz
- 01 Jan 1955 - 
- Vol. 41, Iss: 1, pp 137-145
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This article is published in Fundamenta Mathematicae.The article was published on 1955-01-01 and is currently open access. It has received 128 citations till now. The article focuses on the topics: Topology (electrical circuits).

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The crossing number of K5,n

TL;DR: In this article, it was shown that cr(K5,n)=4[1/2n][ 1/2(n−1)] and cr(k6,n) =6[1 2n][1 2 n−1] for bipartite graphs.
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Crossing Number Problems

TL;DR: In this article, the crossing number problem is formulated as a set of crossing number problems, and solved in a linear fashion, with a fixed number of crossings per number of columns.
Journal ArticleDOI

Copositive optimization — recent developments and applications

TL;DR: Copositivity appears in local and global optimality conditions for quadratic optimization, but can also yield tighter bounds for NP-hard combinatorial optimization problems.