A permutomino of size n is a polyomino determined by particular pairs (�1,�2) of permutations of size n, such that �1(i) 6 �2(i), for 1 ≤ i ≤ n. Here we determine

The graph Qn(σ) is obtained by imposing edge constraints on the classical oriented hypercube Qn, such that each path going from 0 to 1 in Qn (σ) bijectively encodes a permutation of size n avoiding the pattern σ.Expand

A possible steady-state dual-mode regime is predicted for specially designed QD semiconductor lasers thereby acting as a CW microwave or terahertz-beating source whereas it does not occur for QW lasers.Expand

A closed formula is determined for the number of convex permutominoes of size $n+1$ by providing a recursive generation of all convex permits of size n from the objects of sizen, according to the ECO method, and translating this construction into a system of functional equations satisfied by the generating function of conveX permutOMinoes.Expand

This work studies ancestral configurations in balanced and unbalanced families of trees determined by a given seed tree, showing that for seed trees with more than one taxon, the number of ancestral configurations increases for both families exponentially in the numberof taxa n.Expand

The number of coalescent histories for the lodgepole species trees is determined, in the case that the gene tree matches the species tree, showing that this number grows with m!! in the number of taxa m.Expand

We present the design and the fabrication of a dual-wavelength micro-photonic resonator combining a photonic crystal membrane (PCM) and a vertical Fabry Perot (FP) cavity where the former is embedded… Expand