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JCT
2010
158views more  JCT 2010»
14 years 8 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 8 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 8 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 9 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 8 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...