Director of Research (if dissertation) or Advisor (if thesis)
Erickson, Jeff G.
Department of Study
Computer Science
Discipline
Computer Science
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
M.S.
Degree Level
Thesis
Keyword(s)
Homology Flows
ellipsoid method
Abstract
Flows and cuts have been the topic of much study since Ford and Fulkerson's
original paper. The problem we look at is the computation of
flows on some
generalizations of planar graphs. In particular, the input graph can be embedded
on a surface of genus g, and has the source and sink on the same face. We show
this problem can be reduced to a convex programming problem in dimension
2g, and also show some interesting properties of the feasible polytope.
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