We exhibit cyclic ðK v v ; C k Þ-designs with v v > k; v v k ðmod 2kÞ, for k an odd prime power but not a prime, and for k ¼ 15. Such values were the only ones not to be analyzed yet, under the hypothesis v v k (mod 2kÞ: Our construction avails of Rosa sequences and approximates the Hamiltonian case ðv v ¼ kÞ; which is known to admit no cyclic design with the same values of k: As a particular consequence, we settle the existence question for cyclic ðK v v ; C k Þ-designs with k a prime power. #

This article presents the results of a broader clinical research into the effectiveness of integrated treatments in teenage eating disorders, carried out at the Complex Operative Unit of Psychotherapy (Unità Operativa Complessa or U.O.C.) of the Department of Psychiatric Sciences and Psychological Medicine in collaboration with the Department of Neuropsychiatric Science for Child Development (Dipartimento di Scienze Neuropsichiatriche dell'Età Evolutiva), both at the "La Sapienza" University of Rome. The hypothesis of this research project is that in diagnosticable situations such as anorexia or bulimia, an integrated and multidisciplinary treatment, which combines medical-nutritional interventions and family psychotherapy, allows better results than a single kind of treatment, which is the usual medical- nutritional intervention supported by psychiatric counselling. Twenty-eight cases (16 of bulimia and 12 of anorexia) were selected and then subdivided, with a randomized distribution, into two (experimental and control) homogeneous groups of 14 patients. The grouping variables were the diagnosis, the disorder's seriousness and duration, BMI, gender, age, family composition and social status. The variables which have been examined in this article are the clinical parameters, which were valuated in accordance with the DSM IV-TR criteria, and relational parameters which were explored through the use of the W.F.T. Test (Wiltwyck Family Tasks). These parameters were tested at beginning as well as at the end of the therapies, in both the experimental group and the control group. Statistical analysis has shown that the experimental group, which was followed with the integrated treatment, experienced a significant improvement of the parameters as related to dysfunctional family interaction modalities, and that this improvement was correlated to the positive evolution of the clinical parameters. This improvement was not present or not of the same degree in the control group. The results, moreover, demonstrate the effectiveness of an integrated systemic treatment based on a complex approach compared to a reductionist approach.

Il problema della colorabilità di spigoli di grafi critici viene riletto col linguaggio della geometria differenziale; in particolare la distinzione tra classe 1 e 2 diventa la nota distinzione tra presenza e assenza di orientabilità

Among all the restrictions of weight orders to the subsets of monomials with a fixed degree, we consider those that yield a total order. Furthermore, we assume that each weight vector consists of an increasing tuple of weights. Every restriction, which is shown to be achieved by some monomial order, is interpreted as a suitable linearization of the poset arising by the intersection of all the weight orders. In the case of three variables, an enumeration is provided. For a higher number of variables, we show a necessary condition for obtaining such restrictions, using deducibility rules applied to homogeneous inequalities. The logarithmic version of this approach is deeply related to classical results of Farkas type, on systems of linear inequalities. Finally, we analyze the linearizations determined by sequences of prime numbers and provide some connections with topics in arithmetic.

Si studiano questioni di complessità relative a una particolare colorazione di archi di ipergrafi orientati