Random stable-type minimal factorizations of the <i>n</i>-cycle

the investigation of the relationship between type a and type b personalities and quality of translation

چکیده ندارد.

Minimal transitive factorizations of a permutation of type (p, q)

We give a combinatorial proof of Goulden and Jackson’s formula for the number of minimal transitive factorizations of a permutation when the permutation has two cycles. We use the recent result of Goulden, Nica, and Oancea on the number of maximal chains of annular noncrossing partitions of type B. Résumé. Nous donnons une preuve combinatoire de formule de Goulden et Jackson pour le nombre de f...

The relationship of skin type with minimal erythema dose (MED)

Background: Phototherapy is an important modality in dermatology and the number of skin diseases which can be controlled with it is increasing. In order to start treatment, the first dose of phototherapy is determined by measurement of minimal erythema dose (MED) in each patients individually or according to patient’s skin type. Objective: To determine the relationship of skin type with MED in ...

On Minimal Length Factorizations of Finite Groups

Minimal Transitive Factorizations of Permutations into Cycles

We introduce a new approach to an enumerative problem closely linked with the geometry of branched coverings, that is, we study the number Hα(i2, i3, . . . ) of ways a given permutation (with cycles described by the partitionα) can be decomposed into a product of exactly i2 2-cycles, i3 3-cycles, etc., with certain minimality and transitivity conditions imposed on the factors. The method is to ...