Background: Minoxidil is currently an approved treatment for androgenetic alopecia. Topical tretinoin can enhance skin absorption of minoxidil. Objective: This study has been done in order to determine the efficacy and safety of the solution of 0.5% minoxidil+0.05% tretinoin compared to 2% minoxidil in androgenetic alopecia in men. Patients and Methods: In a randomized, double-blind, parallel-g...

This is to certify that I have examined this copy of a master's thesis by Nicole Hackman and have found that it is complete and satisfactory in all respects, and that any and all revisions required by the final examining committee have been made. Date: __________________________________ In presenting this thesis in partial fulfillment of the requirements for a master's degree at the University ...

in this paper, a new analytical method to find a near-optimal high gain controller for the non-minimum phase affine nonlinear systems is introduced. this controller is derived based on the closed form solution of the hamilton-jacobi-bellman (hjb) equation associated with the cheap control problem. this methodology employs an algebraic equation with parametric coefficients for the systems with s...

Curran, S.J., Hamilton paths in Cayley digraphs of metacyclic groups, Discrete Mathematics 115 (1993) 133-139. We obtain a characterization of all Hamilton paths in the Cayley digraph of a metacyclic group G with generating set {x, y} where (yx-‘) a G. The abundance of these Hamilton paths allows us to show that Hamilton paths occur in groups of at least two.

Jean-Claude Bermond, Eric Darrot, Olivier Delmas, Stéphane Perennes* Thème 1 — Réseaux et systèmes Projet SLOOP Rapport de recherche n ̊???? — Juillet 1996 — 25 pages Abstract: in this paper, we prove that the wrapped Butterfly digraph ~ WBF(d; n) of degree d and dimensionn contains at least d 1 arc-disjoint Hamilton circuits, answering a conjecture of D. Barth. We also conjecture that ~ WBF(d; ...

The main contribution of this paper is a new approach for enumerating Hamilton cycles in bounded degree graphs – deriving thereby extremal bounds. We describe an algorithm which enumerates all Hamilton cycles of a given 3-regular n-vertex graph in time O(1.276), improving on Eppstein’s previous bound. The resulting new upper bound of O(1.276) for the maximum number of Hamilton cycles in 3-regul...

Some bipartite Hamilton decomposable graphs that are regular of degree δ ≡ 2 (mod 4) are shown to have Hamilton decomposable line graphs. One consequence is that every bipartite Hamilton decomposable graph G with connectivity κ(G) = 2 has a Hamilton decomposable line graph L(G).

We extend Hamilton–Jacobi theory to Lagrange–Dirac (or implicit Lagrangian) systems, a generalized formulation of Lagrangian mechanics that can incorporate degenerate Lagrangians as well as holonomic and nonholonomic constraints. We refer to the generalized Hamilton–Jacobi equation as the Dirac–Hamilton–Jacobi equation. For non-degenerate Lagrangian systems with nonholonomic constraints, the th...

Multiple edge-disjoint Hamilton cycles have been obtained in labelled star graphs Stn of degree n-1, using number-theoretic means, as images of a known base 2-labelled Hamilton cycle under label-mapping automorphisms of Stn. However, no optimum bounds for producing such edge-disjoint Hamilton cycles have been given, and no positive or negative results exist on whether Hamilton decompositions ca...