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De Bruijn–Erdős theorem (graph theory)
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2013
2013
A well-known theorem of de Bruijn and Erdős states that any set of $$n$$ non-collinear points in the plane determines at least… Expand
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2013
2013
Given a convex body $$K$$K, consider the smallest number $$N$$N so that there is a point $$P\in \partial K$$P∈∂K such that every… Expand
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2012
2012
Fix integers n ≥ r ≥ 2. A clique partition of $${{[n] \choose r}}$$ is a collection of proper subsets $${A_1, A_2, \ldots, A_t… Expand
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2008
2008
De Bruijn and Erdos proved that every noncollinear set of n points in the plane determines at least n distinct lines. We suggest… Expand
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2004
2004
In his 1964 paper, de Bruijn (Math. Comp. 18 (1964) 537) called a pair ða; bÞ of positive odd integers good, if Z ¼ aS~2bS; where… Expand
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2002
2002
In 1961, Erdős-Ginzburg-Ziv proved that for a given natural number n ≥ 1 and a sequence a1, a2, · · · , a2n−1 of integers (not… Expand
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1995
1995
AbstractA De Bruijn torus is a periodicd-dimensionalk-ary array such that eachn1 × ... ×ndk-ary array appears exactly once with… Expand
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1992
1992
A miniswap Si, 1 S i < n, compares two adjacent keys 11"i, 11"i+l in the sequence {1r1 , ... , 7rn}, and transposes them if they… Expand
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1984
1984
In 1965, Dijkstra [3] published an ingenious solution of the mutual exclusion problem for multiple concurrent processes. The only… Expand
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1982
1982
De Bruijn and Erdős proved that ifA1, ...,Ak are distinct subsets of a set of cardinalityn, and |Ai ∩Aj|≦1 for 1≦in, then some… Expand
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