Worcester Polytechnic Institute Electronic Theses and Dissertations Collection

Title page for ETD etd-0430103-155731

Document Typethesis
Author NameFreeman, Andre
TitleDual-Eulerian Graphs with Applications to VLSI Design
DepartmentMathematical Sciences
  • Brigitte Servatius, Advisor
  • Keywords
  • Dual Eulerian Graphs
  • VLSI
  • Date of Presentation/Defense2003-05-30
    Availability unrestricted


    A Dual-Eulerian graph is a plane multigraph G that contains an edge list which is simultaneously an Euler tour in G and an Euler tour in the dual of G. Dual-Eulerian tours play an important role in optimizing CMOS layouts of Boolean functions. When circuits are represented by undirected multigraphs the layout area of the circuit can be optimized through finding the minimum number of disjoint dual trails that cover the graph. This paper presents an implementation of a polynomial time algorithm for determining whether or not a plane multigraph is Dual-Eulerian and for finding the Dual-Eulerian trail if it exists.

  • andre.pdf

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