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De Bruijn–Erdős theorem (graph theory)

Known as: De Bruijn-Erdős theorem (graph coloring), De Bruijn–Erdős theorem (graph coloring), De Bruijn 
In graph theory, the De Bruijn–Erdős theorem, proved by Nicolaas Govert de Bruijn and Paul Erdős (), states that, for every infinite graph G and… Expand
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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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