Handle slides for delta-matroids. (January 2017)
- Record Type:
- Journal Article
- Title:
- Handle slides for delta-matroids. (January 2017)
- Main Title:
- Handle slides for delta-matroids
- Authors:
- Moffatt, Iain
Mphako-Banda, Eunice - Abstract:
- Abstract: A classic exercise in the topology of surfaces is to show that, using handle slides, every disc-band surface, or 1-vertex ribbon graph, can be put in a canonical form consisting of the connected sum of orientable loops, and either non-orientable loops or pairs of interlaced orientable loops. Motivated by the principle that ribbon graph theory informs delta-matroid theory, we find the delta-matroid analogue of this surface classification. We show that, using a delta-matroid analogue of handle slides, every binary delta-matroid in which the empty set is feasible can be written in a canonical form consisting of the direct sum of the delta-matroids of orientable loops, and either non-orientable loops or pairs of interlaced orientable loops. Our delta-matroid results are compatible with the surface results in the sense that they are their ribbon graphic delta-matroidal analogues.
- Is Part Of:
- European journal of combinatorics. Volume 59(2017)
- Journal:
- European journal of combinatorics
- Issue:
- Volume 59(2017)
- Issue Display:
- Volume 59, Issue 2017 (2017)
- Year:
- 2017
- Volume:
- 59
- Issue:
- 2017
- Issue Sort Value:
- 2017-0059-2017-0000
- Page Start:
- 23
- Page End:
- 33
- Publication Date:
- 2017-01
- Subjects:
- Combinatorial analysis -- Periodicals
Analyse combinatoire -- Périodiques
Combinatorial analysis
Periodicals
Electronic journals
511.6 - Journal URLs:
- http://www.sciencedirect.com/science/journal/01956698 ↗
http://www.elsevier.com/journals ↗
http://www.idealibrary.com ↗
http://firstsearch.oclc.org ↗
http://firstsearch.oclc.org/journal=0195-6698;screen=info;ECOIP ↗ - DOI:
- 10.1016/j.ejc.2016.07.002 ↗
- Languages:
- English
- ISSNs:
- 0195-6698
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 3829.728200
British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 634.xml