Open Access. Powered by Scholars. Published by Universities.®

Engineering Commons™

Open Access. Powered by Scholars. Published by Universities.®

Electrical and Computer Engineering

Portland State University

Mappings (Mathematics)

Articles 1 - 2 of 2

Full-Text Articles in Engineering

Efficient Algorithms For Creation Of Linearly-Independent Decision Diagrams And Their Mapping To Regular Layouts, Marek Perkowski, Bogdan Jaroslaw Falkowski, Malgorzata Chrzanowska-Jeske, Rolf Dreschler Jan 2002

Efficient Algorithms For Creation Of Linearly-Independent Decision Diagrams And Their Mapping To Regular Layouts, Marek Perkowski, Bogdan Jaroslaw Falkowski, Malgorzata Chrzanowska-Jeske, Rolf Dreschler

Electrical and Computer Engineering Faculty Publications and Presentations

A new kind of a decision diagrams are presented: its nodes correspond to all types of nonsingular expansions for groups of input variables, in particular pairs. The diagrams are called the Linearly Independent (LI) Decision Diagrams (LI DDs). There are 840 nonsigular expansions for a pair of variables, thus 840 different types of nodes in the tree. Therefore, the number of nodes in such (exact) diagrams is usually much smaller than the number of nodes in the well-known Kronecker diagrams (which have only single-variable Shannon, Positive Davio, and Negative Davio expansions in nodes). It is usually much smaller than 1/3 …

Go to article

The Column Multiplicity Problem In Decomposition Of Functions And Relations, Rahul Malvi Jun 1997

The Column Multiplicity Problem In Decomposition Of Functions And Relations, Rahul Malvi

Dissertations and Theses

Finding the column multiplicity in Functional Decomposition has been known to be one of the most important problems to be solved in the process of functional decomposition of discrete functions. A lot of research has been done in this field with many new heuristics generated to find the column multiplicity, but there has not been an evaluation of the algorithms on the kinds of graphs that occur in decomposition and whether having an exact method to calculate the column multiplicity is useful from the overall design goals.The intent of this thesis was to investigate the column multiplicity problem, in order …

Go to article