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JCT
2010
158views more  JCT 2010»
14 years 10 months ago
An asymptotic solution to the cycle decomposition problem for complete graphs
Let m1, m2, . . . , mt be a list of integers. It is shown that there exists an integer N such that for all n ≥ N, the complete graph of order n can be decomposed into edge-disjo...
Darryn E. Bryant, Daniel Horsley
JCT
2010
112views more  JCT 2010»
14 years 10 months ago
More on block intersection polynomials and new applications to graphs and block designs
The concept of intersection numbers of order r for t-designs is generalized to graphs and to block designs which are not necessarily t-designs. These intersection numbers satisfy ...
Leonard H. Soicher
JCT
2010
87views more  JCT 2010»
14 years 10 months ago
Bijections between pattern-avoiding fillings of Young diagrams
The pattern-avoiding fillings of Young diagrams we study arose from Postnikov’s work on positive Grassman cells. They are called Γ -diagrams, and are in bijection with decorate...
Matthieu Josuat-Vergès
JCT
2002
83views more  JCT 2002»
14 years 11 months ago
Multidimensional Ehrhart Reciprocity
In [1], the author generalized Ehrhart's idea ([2]) of counting lattice points in dilated rational polytopes: Given a rational polytope, that is, a polytope with rational vert...
Matthias Beck
JCT
2010
72views more  JCT 2010»
14 years 10 months ago
Extensions and restrictions of Wythoff's game preserving its p positions
We consider extensions and restrictions of Wythoff’s game having exactly the same set of P positions as the original game. No strict subset of rules give the same set of P posit...
Éric Duchêne, Aviezri S. Fraenkel, Ri...