Algebraic invariants arising from the chromatic polynomials of theta graphs

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dc.contributor.authorDelbourgo, Danielen_NZ
dc.contributor.authorMorgan, Kerrien_NZ
dc.date.accessioned2018-07-12T00:10:07Z
dc.date.available2014-06en_NZ
dc.date.available2018-07-12T00:10:07Z
dc.date.issued2014en_NZ
dc.description.abstractThis paper investigates some algebraic properties of the chromatic polynomials of theta graphs, i.e. graphs which have three internally disjoint paths sharing the same two distinct end vertices. We give a complete description of the Galois group, discriminant and ramification indices for the chromatic polynomials of theta graphs with three consecutive path lengths. We then do the same for theta graphs with three paths of the same length, by comparing them algebraically to the first family. This algebraic link extends naturally to generalised theta graphs with k + 1 branches.
dc.format.mimetypeapplication/pdf
dc.identifier.citationDelbourgo, D., & Morgan, K. (2014). Algebraic invariants arising from the chromatic polynomials of theta graphs. Australasian Journal of Combinatorics, 59(2), 293–310.en
dc.identifier.issn2202-3518en_NZ
dc.identifier.urihttps://hdl.handle.net/10289/11937
dc.language.isoen
dc.publisherCMSA (Inc.)en_NZ
dc.relation.isPartOfAustralasian Journal of Combinatoricsen_NZ
dc.relation.urihttp://ajc.maths.uq.edu.au/?page=get_volumes&volume=59en_NZ
dc.rightsThis article is published in the Australasian Journal of Combinatorics. Used with permission.
dc.titleAlgebraic invariants arising from the chromatic polynomials of theta graphsen_NZ
dc.typeJournal Article
pubs.begin-page293
pubs.elements-id81710
pubs.end-page310
pubs.issue2en_NZ
pubs.organisational-group/Waikato
pubs.organisational-group/Waikato/2018 PBRF
pubs.organisational-group/Waikato/FCMS
pubs.organisational-group/Waikato/FCMS/2018 PBRF - FCMS
pubs.organisational-group/Waikato/FCMS/Mathematics and Statistics
pubs.owner.emaildelbourg@waikato.ac.nz
pubs.owner.nameDelbourgo, Daniel
pubs.user.infoDelbourgo, Daniel (delbourg@waikato.ac.nz)
pubs.volume59en_NZ
uow.verification.statusverified
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