We show that Ding's partial order on maximal rook placements on any Ferrers board has a symmetric chain decomposition and is EL-shellable. As a consequence the partial order is Peck, and we show that it has MM obius function values of 1; 0 or +1.
This thesis is made available online and is protected by original copyright. Please scroll down to view the document itself. Please refer to the repository record for this item for information to help you to cite it. Our policy information is available from the repository home page. Contents Acknowledgments iii Declarations v Abstract vi Chapter 1… (More)
Many engineers and scientists rapidly develop their applications and exploratory tools within MATLAB. In recent years advances have been made in parallelizing MATLAB execution with the pMatlab  tool. Star-P from Interactive Supercomputing has similar functionality. For this work we have coupled Star-P to the SGI Reconfigurable Application Specific… (More)