Delta Minors, Delta Free Clutters, and Entanglement

Deltas, delta minors and delta free clutters

For an integer n ≥ 3, the clutter ∆n := { {1, 2}, {1, 3}, . . . , {1, n}, {2, 3, . . . , n} } is called a delta of dimension n, whose members are the lines of a degenerate projective plane. In his seminal paper on non-ideal clutters, Alfred Lehman manifested the role of the deltas as a distinct class of minimally non-ideal clutters [DIMACS, 1990]. A clutter is delta free if it has no delta mino...

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More Forbidden Minors for Wye-Delta-Wye Reducibility

A graph is Y ∆Y reducible if it can be reduced to isolated vertices by a sequence of series-parallel reductions and Y ∆Y transformations. It is still an open problem to characterize Y ∆Y reducible graphs in terms of a finite set of forbidden minors. We obtain a characterization of such forbidden minors that can be written as clique k-sums for k = 1, 2, 3. As a result we show constructively that...

A model-free approach to delta hedging

Delta hedging, which plays a crucial rôle in modern financial engineering, is a tracking control design for a “risk-free” management. We utilize the existence of trends for financial time series (Fliess M., Join C.: A mathematical proof of the existence of trends in financial time series, Proc. Int. Conf. Systems Theory: Modelling, Analysis and Control, Fes, 2009. Online: http://hal.inria.fr/in...

Fast Opamp - Free Delta Sigma Modulator

ACKNOWLEDGMENT This thesis acknowledges the following people for their support and assistance: First, I would like to thank my advisor, Professor Un-Ku Moon, for allowing me to be part of his research group, and for supporting me financially. I learned alot from his wide knowledge of circuits. I also would like to thank my co-advisor, Professor Gábor C. Temes, for his assistance, and for his jo...