Integral Uniform Flows in Symmetric Networks

(Extended Abstract)
  • Farhad Shahrokhi
  • László A. Székely
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1517)


We study the integral uniform (multicommodity) flow problem in a graph G and construct a fractional solution whose properties are invariant under the action of the automorphism group Aut(G) of G. The fractional solution is shown to be close to an integral solution (depending on properties of Aut(G)), and in particular becomes an integral solution for a class of graphs containing Cayley graphs. As an application we estimate asymptotically (up to error terms) the edge congestion of an optimal integral uniform flow (edge forwarding index) in the cube connected cycles and the butterfly.


Automorphism Group Cayley Graph Active Path Fractional Solution Integral Uniform 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • Farhad Shahrokhi
    • 1
  • László A. Székely
    • 2
  1. 1.Department of Computer ScienceUniversity of North TexasDentonUSA
  2. 2.Department of MathematicsUniversity of South CarolinaColumbiaUSA

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