Given a tournament T, module of T is subset X V(T) such that for x,y?X and v?V(T)?X, (x,v)?A(T) if only (y,v)?A(T). The trivial modules are 0?, {u} (u?V(T)) V(T). indecomposable all its trivial; otherwise it decomposable. decomposability index denoted by ?(T), the smallest number arcs must be reversed to make indecomposable. first author conjectured n?5, we have ?(n)=n+14, where ?(n) maximum ?(...

This report addresses the challenges arising from a change in Mexico’s official poverty methodology from an income-only basis to a multidimensional basis that includes education, access to health services, access to social security, shelter characteristics, access to basic services, access to food, and level of social cohesion. The concept of poverty underlying this report is drawn from Amartya...

The majority of real-world probabilistic systems are used by more than one user, thus a utility model must be elicited separately for each new user. Utility elicitation is long and tedious, particularly if the outcome space is large and not decomposable. Most research on utility elicitation focuses on making assumptions about the decomposability of the utility function. Here we make no assumpti...

The Gell-Mann λ matrices for Lie algebra su(3) are the natural basis for the Hilbert space of Hermitian operators acting on the states of a three-level system(qutrit). So the construction of EWs for two-qutrit states by using these matrices may be an interesting problem. In this paper, several two-qutrit EWs are constructed based on the Gell-Mann matrices by using the linear programming (LP) me...

We introduce the Multiagent Disjunctive Temporal Problem (MaDTP), a new distributed formulation of the widely-adopted Disjunctive Temporal Problem (DTP) representation. An agent that generates a summary of all viable schedules, rather than a single schedule, can be more useful in dynamic environments. We show how a (Ma)DTP with the properties of minimality and decomposability provides a particu...

This paper deals with local spectral properties of Extended Hamilton operators and their adjoint operators. The relationship between the (strongly decomposability, hyperinvariant subspace problem, etc.) corresponding is obtained.

We prove the following conjecture due to Bryant Mathews (2008). Let Qi be the orthogonal grassmannian of totally isotropic i-planes of a non-degenerate quadratic form q over an arbitrary field (where i is an integer satisfying 1 ≤ i ≤ m := [(dim q)/2]). Assume that for a given i, the form q has the following property (possessed by the generic quadratic form): the degree of each closed point on ...