We identify some issues in measuring the strongest path connecting pairs of actors that arise in attempts to generalize binary graph concepts to valued graphs. Neither Peay’s path value nor Flament’s path length indicators take into account the costs of interacting via long chains of intermediaries. We proposed two alternative measures of optimal connections between dyads, respectively, dividin...

Hospital discharge rates measure the number of patients who leave a hospital after staying at least one night. Improving timely can help flow through hospital, freeing up beds and health worker time. Both premature delayed discharges not only worsen outcomes but also increase costs: lead to costly readmissions; use limited resources.

PROSA tries to simulate the evolution of human relationships from simple acquaintance to friendship and partnership. Our target is to obtain a self– reconfiguring P2P system which possesses some of the desirable features of social communities. We show that PROSA naturally evolves into a small–world network, with an high clustering coefficient and a relly short average path length.

Some of the fundamental problems of the gait control of a quadruped walking vehicle are addressed. It is shown that the product of the duty factor and the stride length is equal to the length of the boundary of the reachable area of the leg. Furthermore, the mathematical expression representing the relationship between the stability margin, the stride length and duty factor are also formulated....

The fully packed loop model of closed paths covering the honeycomb lattice is studied through its identiication with the sl q (3) integrable lattice model. Some known results from the Bethe ansatz solution of this model are reviewed. The free energy, correlation length, and the ensemble average loop length are given explicitly for the many-loop phase. The results are compared with the known res...