hyper-tubes consisting of hyper-cubes of n-dimensions were designed and formulas for substructures of vary dimensions established.

A Graph G is Super Strongly Perfect Graph if every induced sub graph H of G possesses a minimal dominating set that meets all the maximal complete sub graphs of H. In this paper we have analyzed the structure of super strongly perfect graphs in some Interconnection Networks, like Mesh, Torus, Hyper cubes and Grid Networks. Along with this investigation, we have characterized the Super Strongly ...

Sequential fast matrix multiplication algorithms of Strassen and Winograd are studied; the complexity bound given by Strassen is improved. These algorithms are parallelized on MIMD distributed memory architectures of ring and torus topologies; a generalization to a hyper-torus is also given. Complexity and efficiency are analyzed and good asymptotic behaviour is proved. These new parallel algor...

Let T = R/Z be the d-dimensional flat torus. We establish for d = 2, 3 uniform upper and lower bounds on the restrictions of the eigenfunctions of the Laplacian to smooth hyper-surfaces with non-vanishing curvature.

The group SL(2) acts on the space of cohomology groups of any hyper-Kähler manifold X . The χy genus of a hyper-Kähler X is shown to have a geometric interpretation as the super trace of an element of SL(2). As a by product one learns that the generalized Casson invariant for a mapping torus is essentially the χy genus. email: [email protected]

Hyper-tubes consisting of hyper-cubes of n-dimensions were designed and formulas for substructures of vary dimensions established.

the prevalence of Torus palatinus and Torus Mandibularis is widely different in various populations and races.this descriptive study was performed in 1999,to investigate the the prevalence of Torus Mandibularis and Torus palatinus in patients referring to Rafsanjan dental school.584 patients(268 men and 316 women) which were over 18 years old were examined.the information recorded in the questi...

In this paper the relations between the existence of Lagrangian fibration of Hyper-Kähler manifolds and the existence of the Large Radius Limit is established. It is proved that if the the rank of the second homology group of a Hyper-Kähler manifold N of complex dimension 2n ≥ 4 is at least 5, then there exists an unipotent element T in the mapping class group Γ(N) such that its action on the s...