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"ActiveFedora::Aggregation::ListSource" .
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"en" .
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"The isotropic matroid M[IAS(G)] of a looped simple graph G is a binary matroid equivalent to the isotropic system of G. In general, M[IAS(G)] is not regular, so it cannot be represented over fields of characteristic not equal 2. The ground set of M[IAS(G)] is denoted W(G); it is partitioned into 3-element subsets corresponding to the vertices of G. When the rank function of M[IAS(G)] is restricted to subtransversals of this partition, the resulting structure is a multimatroid denoted Z(3)(G). In this paper we prove that G is a circle graph if and only if for every field F, there is an F-representable matroid with ground set W(G), which defines Z(3)(G) by restriction. We connect this characterization with several other circle graph characterizations that have appeared in the literature." .
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"2020-01" .
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"Electronic Journal of Combinatorics" .
"Publication" .
"2020-03-06" .
"Brijder, R. and L. Traldi (2020 Jan) \"A characterization of circle graphs in terms of multimatroid representations.\" Electronic Journal of Combinatorics 27 (1): P1.25." .
"2020-03-06T21:19:06.442873687+00:00"^^ .
"Natural Sciences" .
"Brijder, R." .
"Traldi, Lorenzo" .
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"Mathematics" .
"noid:dn39x201m" .
"hdl:10385/dn39x201m" .
"http://creativecommons.org/licenses/by/4.0/" .
"Lafayette College" .
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"A characterization of circle graphs in terms of multimatroid representations" .
"Article" .
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"heidenwt@lafayette.edu" .
"2020-03-06T21:19:06.430688581+00:00"^^ .
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"Brijder, R." .
"Traldi, Lorenzo" .