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Analysis of wormhole routings in cayley graphs of permutation groups.
(1999)
Over a decade, a new class of switching technology, called wormhole routing, has been investigated in the multicomputer interconnection network field. Several classes of wormhole routing algorithms have been proposed. Most ...
Pleating coordinates for a slice of the deformation space of a hyperbolic 3-manifold with compressible boundary.
(1997)
Let $G\sb{\rho}$ denote the Kleinian group with presentation$$\langle T\sb1, T\sb{i}, E\sb{\rho}, E\sb{i\rho}\mid\lbrack T\sb1, T\sb{i}\rbrack=1, \lbrack E\sb{\rho}, E\sb{i\rho}\rbrack=1\rangle.$$Let $\Omega(G\sb{\rho})$ ...
Mathematical model of flow of fluid in porous media.
(1997)
In this dissertation, we investigate the flow of fluid in porous media. The mathematical drainage models are developed in a domain that is partitioned into a saturated portion and a unsaturated portion. The boundary value ...
Volumes and topology of hyperbolic 4-manifolds.
(1998)
We also consider the question of when a finite volume hyperbolic $(n + 1)$-manifold M may be embedded as a complement of a closed codimension-k submanifold A inside a closed $(n + 1)$-manifold N. We show that if this is ...
Topics in feedback control stabilization.
(1997)
In this dissertation, we first show that for a class of uncertain nonlinear systems, the robust output feedback stabilizability is equivalent to the existence of robust output Lyapunov functions with the small control ...
Tau functions for matrix hierarchies.
(1997)
The totality of all zero curvature equations with a rational dependence of connection matrices on a spectral parameter form a hierarchy, which means that all the corresponding vector fields commute. This is the so-called ...
Building fences around the chromatic coefficients.
(1997)
Although these bounding conditions do not allow us to completely predict all chromatic polynomials, they do serve to severely limit the form of polynomials considered to be candidates for the chromatic polynomial of some graph.
The generalized asymmetric rule (GAR): The optimization of mixture asymmetry in a noncubic equation of state.
(1998)
This work uses a preexisting, noncubic EOS to predict polar/nonpolar pure components. This EOS uses the mixing rules of a preexisting local composition model (LCM) that can simultaneously (1) simulate both liquid and vapor ...
Graph models and system diagnosis.
(1997)
The connectivity of a system is an important measure of fault tolerance. Typical interconnection networks are sparse and symmetrical. The classical diagnosis theories, such as t-diagnosability, are not appropriate for these ...
Computational aspects of the adjoint method.
(1997)
Modern numerical weather prediction often employs an adjoint of the forecast model to optimally initialize the model with observations of the state of the atmosphere and thus to improve the accuracy of the forecast. This ...