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20032013
most citedThe Brown-Colbourn conjecture on zeros of reliability polynomials is false

32 citations · 45 across the 11 of their papers we have counts for

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Showing 2013Show all

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math.CO2013

Maximum size binary matroids with no AG(3,2)-minor are graphic

Joseph P. S. Kung, Dillon Mayhew, Irene Pivotto +1

We prove that the maximum size of a simple binary matroid of rank with no AG(3,2)-minor is and characterise those matroids achieving this bound. When $r…

math.CO2013

The Merino-Welsh Conjecture holds for Series-Parallel Graphs

Steven D. Noble, Gordon F. Royle

The Merino-Welsh conjecture asserts that the number of spanning trees of a graph is no greater than the maximum of the numbers of totally cyclic orientations and acyclic orientatio…