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JCT
2007
111views more  JCT 2007»
13 years 5 months ago
Lattice point counts for the Shi arrangement and other affinographic hyperplane arrangements
Hyperplanes of the form xj = xi + c are called affinographic. For an affinographic hyperplane arrangement in Rn, such as the Shi arrangement, we study the function f(m) that counts...
David Forge, Thomas Zaslavsky
JCT
2007
96views more  JCT 2007»
13 years 5 months ago
Co-degree density of hypergraphs
For an r-graph H, let C(H) = minS d(S), where the minimum is taken over all (r − 1)-sets of vertices of H, and d(S) is the number of vertices v such that S ∪ {v} is an edge of...
Dhruv Mubayi, Yi Zhao
JCT
2007
78views more  JCT 2007»
13 years 5 months ago
Semisymmetric graphs from polytopes
Every finite, self-dual, regular (or chiral) 4-polytope of type {3, q, 3} has a trivalent 3-transitive (or 2-transitive) medial layer graph. Here, by dropping self-duality, we ob...
Barry Monson, Tomaz Pisanski, Egon Schulte, Asia I...
JCT
2007
94views more  JCT 2007»
13 years 5 months ago
A bijection between 2-triangulations and pairs of non-crossing Dyck paths
A k-triangulation of a convex polygon is a maximal set of diagonals so that no k + 1 of them mutually cross in their interiors. We present a bijection between 2-triangulations of a...
Sergi Elizalde
JCT
2010
64views more  JCT 2010»
13 years 4 months ago
A new source of seed pairs for Golay sequences of length 2m
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...
Frank Fiedler, Jonathan Jedwab, Amy Wiebe