More Forbidden Minors for Wye-Delta-Wye Reducibility

نویسنده

  • Yaming Yu
چکیده

A graph is Y ∆Y reducible if it can be reduced to isolated vertices by a sequence of series-parallel reductions and Y ∆Y transformations. It is still an open problem to characterize Y ∆Y reducible graphs in terms of a finite set of forbidden minors. We obtain a characterization of such forbidden minors that can be written as clique k-sums for k = 1, 2, 3. As a result we show constructively that the total number of forbidden minors is more than 68 billion up to isomorphism.

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عنوان ژورنال:
  • Electr. J. Comb.

دوره 13  شماره 

صفحات  -

تاریخ انتشار 2006