Circuit and bond polytopes on series-parallel graphs

نویسندگان

  • Sylvie Borne
  • Pierre Fouilhoux
  • Roland Grappe
  • Mathieu Lacroix
  • Pierre Pesneau
چکیده

In this paper, we describe the circuit polytope on series-parallel graphs. We first show the existence of a compact extended formulation. Though not being explicit, its construction process helps us to inductively provide the description in the original space. As a consequence, using the link between bonds and circuits in planar graphs, we also describe the bond polytope on series-parallel graphs.

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عنوان ژورنال:
  • Discrete Optimization

دوره 17  شماره 

صفحات  -

تاریخ انتشار 2015