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dc.contributor.authorAnderson, Terry David
dc.date.accessioned2011-04-28 20:28:35 (GMT)
dc.date.available2011-04-28 20:28:35 (GMT)
dc.date.issued2011-04-28T20:28:35Z
dc.date.submitted2011-04-21
dc.identifier.urihttp://hdl.handle.net/10012/5882
dc.description.abstractIn the game of Kal-toh depicted in the television series Star Trek: Voyager, players attempt to create polyhedra by adding to a jumbled collection of metal rods. Inspired by this fictional game, we formulate graph-theoretical questions about polyhedral (triconnected and planar) subgraphs in an on-line environment. The problem of determining the existence of a polyhedral subgraph within a graph G is shown to be NP-hard, and we also give some non-trivial upper bounds for the problem of determining the minimum number of edge additions necessary to guarantee the existence of a polyhedral subgraph in G. A two-player formulation of Kal-toh is also explored, in which the first player to form a target subgraph is declared the winner. We show a polynomial-time solution for simple cases of this game but conjecture that the general problem is NP-hard.en
dc.language.isoenen
dc.publisherUniversity of Waterlooen
dc.subjecttriconnectivityen
dc.subjectplanarityen
dc.subjectpolyhedraen
dc.subjectsubgraphsen
dc.titleThe Vulcan game of Kal-toh: Finding or making triconnected planar subgraphsen
dc.typeMaster Thesisen
dc.comment.hiddenCorrections from April 26th (Christina Treusch) have been made.en
dc.pendingfalseen
dc.subject.programComputer Scienceen
uws-etd.degree.departmentSchool of Computer Scienceen
uws-etd.degreeMaster of Mathematicsen
uws.typeOfResourceTexten
uws.peerReviewStatusUnrevieweden
uws.scholarLevelGraduateen


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