We give various reformulations of the Strong Perfect Graph Conjecture, based on a study of forced coloring procedures, uniquely colorable subgraphs and ! ? 1-cliques in minimal imperfect graphs.

Parameter-dependent linear evolution equations with a fractional noise in the boundary conditions are studied. Ergodic-type theorems for stationary and non-stationary solutions are verified and used to prove the strong consistency of a suitably defined family of estimators.

We consider maximum likelihood estimation of finite mixture of uniform distributions. We prove that the maximum likelihood estimator is strongly consistent, if the scale parameters of the component uniform distributions are restricted from below by exp(−nd), 0 < d < 1, where n is the sample size.

The issues faced by law enforcement authorities concerning VoIP are very different from that of traditional telephony. VoIP provides strong encryption and a decentralised data­based network. Wiretapping is not applicable to VoIP calls and packet capturing is negated by encryption. New methods are required to collect evidence from systems running VoIP software. This paper ...

We will extend Reed's Semi-Strong Perfect Graph Theorem by proving that unbreakable C 5-free graphs diierent from a C 6 and its complement have unique P 4-structure.

Paavolainen et. al. (1991) reported that national level cross-country skiers who engaged in explosive type strength training in addition to their normal training, were able improve their force-times i.e. improve their ability to produce a given amount of force in shorter time. This was also described by a significant improvement of jump heights in both static and counter movement jumps, whereas...

For a connected graph G containing no bridges, let D(G) be the family of strong orientations of G; and for any D ∈ D(G), we denote by d(D) the diameter of D. The orientation number d (G) of G is defined by → d (G)=min{d(D) |D ∈ D(G)}. In this paper, we study the orientation numbers of a family of graphs, denoted by G(p, q;m), that are obtained from the disjoint union of two complete graphs Kp a...

Suitable normalization of time{homogeneous rotation{invariant random walks on unit spheres S d R d+1 for d > 2 leads to a central limit theorem with a Gaussian limit measure. This paper is devoted to an associated Edgeworth expansion with respect to the total variation norm. This strong type of convergence is diierent from the classical case. The proof is performed in the more general setting o...

Objective Infertility is a major public health problem with physical, psychological and social dimensions. High prevalence of psychological problems has been reported in infertile women. The objective of this study was to examine the effectiveness of wellbeing therapy (WBT) for depression in infertile women who were referred to an infertility center in Mashhad, Iran. MaterialsAndMethods This pr...