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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/22737

Title: Isotropic matroids I: Multimatroids and neighborhoods
Authors: Brijder, Robert
Traldi, Lorenzo
Issue Date: 2016
Publisher: ELECTRONIC JOURNAL OF COMBINATORICS
Citation: ELECTRONIC JOURNAL OF COMBINATORICS, 23(4) (Art N° P4.1)
Abstract: Several properties of the isotropic matroid of a looped simple graph are presented. Results include a characterization of the multimatroids that are associated with isotropic matroids and several ways in which the isotropic matroid of G incorporates information about graphs locally equivalent to G. Specific results of the latter type include a characterization of graphs that are locally equivalent to bipartite graphs, a direct proof that two forests are isomorphic if and only if their isotropic matroids are isomorphic, and a way to express local equivalence indirectly, using only edge pivots.
Notes: [Brijder, Robert] Hasselt Univ, Hasselt, Belgium. [Traldi, Lorenzo] Lafayette Coll, Easton, PA 18042 USA. [Brijder, Robert] Res Fdn Flanders FWO, Brussels, Belgium.
URI: http://hdl.handle.net/1942/22737
ISI #: 000385727200001
ISSN: 1077-8926
Category: A1
Type: Journal Contribution
Validation: ecoom, 2017
Appears in Collections: Research publications

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