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JCT

2011

8 years 11 months ago
2011

Abstract. Norton and Stein associated a number with each idempotent quasigroup or diagonalized Latin square of given ﬁnite order n, showing that it is congruent mod 2 to the tria...

JCT

2011

9 years 2 months ago
2011

The circumference of a graph is the length of its longest cycles. Results of Jackson, and Jackson and Wormald, imply that the circumference of a 3-connected cubic n-vertex graph i...

JCT

2011

9 years 2 months ago
2011

JCT

2011

9 years 2 months ago
2011

JCT

2011

9 years 2 months ago
2011

We present a method for proving q-series identities by combinatorial telescoping in the sense that one can transform a bijection or classiﬁcation of combinatorial objects into a ...

JCT

2011

9 years 3 months ago
2011

Let W be a ﬁnite reﬂection group. For a given w ∈ W, the following assertion may or may not be satisﬁed: (∗) The principal Bruhat order ideal of w contains as many elemen...

JCT

2011

9 years 3 months ago
2011

Given a simple graph G, the graph associahedron KG is a simple polytope whose face poset is based on the connected subgraphs of G. This paper deﬁnes and constructs graph associah...

JCT

2011

9 years 3 months ago
2011

JCT

2011

9 years 3 months ago
2011

The neighborhood of a pair of vertices u, v in a triple system is the set of vertices w such that uvw is an edge. A triple system H is semi-bipartite if its vertex set contains a ...

JCT

2011

9 years 3 months ago
2011