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Download fileMatroids in which every pair of elements belongs to both a 4-circuit and a 4-cocircuit
thesis
posted on 2021-11-14, 03:06 authored by Miller, JoelIn this thesis, we analyse the matroids which have the property that every pair of elements belongs to both a 4-circuit and a 4-cocircuit. In particular, we show that if a matroid with this property has at least 13 elements, then it is a spike. We also study the matroids with fewer than 13 element that have this property.
History
Copyright Date
2014-01-01Date of Award
2014-01-01Publisher
Te Herenga Waka—Victoria University of WellingtonRights License
Author Retains CopyrightDegree Discipline
MathematicsDegree Grantor
Te Herenga Waka—Victoria University of WellingtonDegree Level
MastersDegree Name
Master of ScienceANZSRC Type Of Activity code
970101 Expanding Knowledge in the Mathematical SciencesVictoria University of Wellington Item Type
Awarded Research Masters ThesisLanguage
en_NZVictoria University of Wellington School
School of Mathematics, Statistics and Operations ResearchAdvisors
Whittle, GeoffUsage metrics
Keywords
MatroidStructureDiscreteMathematicsSchool: School of Mathematics, Statistics and Operations Research010104 Combinatorics and Discrete Mathematics (excl. Physical Combinatorics)970101 Expanding Knowledge in the Mathematical SciencesDegree Discipline: MathematicsDegree Level: MastersDegree Name: Master of Science