J. P. Costalonga

activity

20122021

most citedA splitter theorem on 3-connected matroids and graphs

6 citations · 12 across the 10 of their papers we have counts for

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Showing 2012Show all

2 papers · 1 filter

math.CO2012

Non-Separating Cocircuits and Graphicness in Matroids

João Paulo Costalonga

Let $M$ be a 3-connected binary matroid and let $Y (M)$ be the set of elements of $M$ avoiding at least $r (M) + 1$ non-separating cocircuits of $M$ . Lemos proved that $M$ is non-graph…

math.CO2012★ 1 cited

Vertically N-contractible elements in 3-connected matroids

João Paulo Costalonga

In this paper we establish a variation of the Splitter Theorem. Let $M$ and $N$ be simple 3-connected matroids. We say that $x \in E (M)$ is vertically $N$ -contractible if $s i (M / x)$ …