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20032010
most citedThe Brown-Colbourn conjecture on zeros of reliability polynomials is false

32 citations · 45 across the 9 of their papers we have counts for

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Showing 2009Show all

2 papers · 1 filter

math.CO2009

Graphs whose flow polynomials have only integral roots

Joseph P. S. Kung, Gordon F. Royle

We show if the flow polynomial of a bridgeless graph G has only integral roots, then G is the dual graph to a planar chordal graph. We also show that for 3-connected cubic graphs,…

math.CO2009★ 10 cited

The internally 4-connected binary matroids with no M(K3,3)-minor

Dillon Mayhew, Gordon Royle, Geoff Whittle

We give a characterization of the internally 4-connected binary matroids that have no minor isomorphic to M(K3,3). Any such matroid is either cographic, or is isomorphic to a parti…