We use the polynomial method of Alon to give a sufficient condition for the existence of partial transversals in terms of the permanent rank of a certain matrix.

It has recently been observed that the permanent of a non-negative matrix, i.e., of a matrix containing only nonnegative real entries, can very well be approximated by solving a certain Bethe free energy minimization problem with the help of the sum-product algorithm. We call the resulting approximation of the permanent the Bethe permanent. In this paper we give reasons why this approach to app...

This article describes the management of class III subdivision malocclusion with unilateral left side posterior crossbite in an adolescent girl, using rapid palatal expansion followed by extraction of four premolars with comprehensive fixed appliance mechanotherapy.

The motivations of the Arab Spring that have marked the history of humanity over the last few months have left political economists, researchers, governments and international policymakers pondering over how the quality of political institutions affect consumer welfare in terms of commodity prices. This paper investigates the effects of political establishments on consumer prices in the African...

AIM The aim of this article is to report a case of bilateral multiple impacted supernumerary teeth. A discussion of possible mechanisms of development is also presented along with a concise review of the literature. BACKGROUND Supernumerary teeth occur in the context of various scenarios in the primary and the permanent dentition. Multiple supernumerary teeth are a rare finding especially in ...

The considered converter-fed permanent magnet motor could alternatively be operated in two basically different states − the vector control mode or alternatively the brushless dc, also known as electronically commutated mode. Several quality aspects concerning the system performance have been comparatively investigated in practical as well as theoretical manner. Focus is thereby given to the num...

We refer the reader to Jerrum's book [1] for the analysis of a Markov chain for generating a random matching of an arbitrary graph. Here we'll look at how to extend the argument to sample perfect matchings in dense graphs and arbitrary bipartite graphs. Both of these results are due to Jerrum and Sinclair [2]. Dense graphs We'll need some definitions and notations first: Definition 7.1 A graph ...