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JCT
2010
13 years 11 days ago
2010
Let M be a matroid representable over a (partial) field and B a matrix representable over a sub-partial field . We say that B confines M to if, whenever a -representation matrix ...
JCT
2010
13 years 11 days ago
2010
There exist several theorems which state that when a matroid is representable over distinct fields 1,..., k, it is also representable over other fields. We prove a theorem, the Li...
JCT
2010
13 years 4 months ago
2010
A self-avoiding walk (SAW) on the square lattice is prudent if it never takes a step towards a vertex it has already visited. Prudent walks differ from most classes of SAW that ha...
JCT
2010
13 years 4 months ago
2010
Abstract. A weighting of the edges of a graph is called vertexcoloring if the weighted degrees of the vertices yield a proper coloring of the graph. In this paper we show that such...
JCT
2010
13 years 4 months ago
2010
In 2007 Jedwab and Parker proposed [10] that the natural viewpoint for a Golay complementary sequence is as a projection of a multi-dimensional Golay array. In 2008 Fiedler, Jedwa...