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2-dipath and proper 2-dipath k-colourings

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dc.contributor.author Young, Kailyn M.
dc.date.accessioned 2011-05-02T22:05:50Z
dc.date.available 2011-05-02T22:05:50Z
dc.date.copyright 2011 en_US
dc.date.issued 2011-05-02
dc.identifier.uri http://hdl.handle.net/1828/3277
dc.description.abstract A 2-dipath k-colouring of an oriented graph G is an assignment of k colours, 1,2, . . . , k, to the vertices of G such that vertices joined by a directed path of length two are assigned different colours. The 2-dipath chromatic number is the minimum number of colours needed in such a colouring. There are two possible models, depending on whether adjacent vertices must also be assigned different colours. For both models of 2-dipath colouring we develop the basic theory, including characterizing the oriented graphs that can be 2-dipath coloured using a small number of colours, finding bounds on the 2-dipath chromatic number, determining the complexity of deciding the existence of a 2-dipath k-colouring, describing a homomorphism model, and showing how to determine the 2-dipath chromatic number of tournaments and bipartite tournaments. en_US
dc.language English eng
dc.language.iso en en_US
dc.subject graph theory en_US
dc.subject oriented graphs en_US
dc.subject tournaments en_US
dc.title 2-dipath and proper 2-dipath k-colourings en_US
dc.title.alternative Two-dipath and proper two-dipath k-colourings en_US
dc.type Thesis en_US
dc.contributor.supervisor MacGillivray, Gary
dc.degree.department Dept. of Mathematics and Statistics en_US
dc.degree.level Master of Science M.Sc. en_US
dc.rights.temp Available to the World Wide Web en_US
dc.description.scholarlevel Graduate en_US


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