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111
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JGT
2010
15 years 3 months ago
2010
: A well-known result of Tutte states that a 3-connected graph G is planar if and only if every edge of G is contained in exactly two induced non-separating circuits. Bixby and Cun...
130
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COMBINATORICA
2007
15 years 4 months ago
2007
The main result of this paper is that every 4-uniform hypergraph on n vertices and m edges has a transversal with no more than (5n + 4m)/21 vertices. In the particular case n = m,...
112
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JGT
2010
15 years 3 months ago
2010
: A k-fold coloring of a graph is a function that assigns to each vertex a set of k colors, so that the color sets assigned to adjacent Contract grant sponsor: NSFC; Contract grant...
147
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CORR
2010
Springer
15 years 1 months ago
2010
Springer
We generalize the notions of flippable and simultaneously-flippable edges in a triangulation of a set S of points in the plane, into so called pseudo simultaneously-flippable edge...
141
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ISAAC
2005
Springer
15 years 10 months ago
2005
Springer
We present an expected polynomial time algorithm to generate a 2-connected unlabeled planar graph uniformly at random. To do this we first derive recurrence formulas to count the ...