Master of Science in Mathematical Sciences and Master of Science in Applied and Computational Mathematics Plan B Project Papers

Persistent link for this collectionhttps://hdl.handle.net/11299/188700

This collection contains some of the Plan B project papers produced by master's degree students in the Master of Science in Mathematical Sciences graduate program or in its predecessor, the Master of Science in Applied and Computational Mathematics graduate program. Please note that students in these programs complete either a Plan A (thesis-based) program or a Plan B (project-based) program. Only Plan B project papers are included here; Plan As (theses) can be found in the University of Minnesota Twin Cities Dissertations and Theses collection.

To see Plan B project papers for specific graduate degrees, click the links below:

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Browsing Master of Science in Mathematical Sciences and Master of Science in Applied and Computational Mathematics Plan B Project Papers by Author "DeVries, Jerad S"

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    Pebbling of Oriented Graphs
    (2017-09) DeVries, Jerad S
    In traditional graph pebbling a move across an edge is made by removing two pebbles from one vertex and adding one pebble to an adjacent vertex. We extend this concept to oriented graphs by subtracting three pebbles when moving against an edge orientation and two pebbles when moving with an edge orientation. The cover pebbling number of an oriented graph is the minimum number of pebbles such that given any initial placement of these pebbles we can simultaneously place a pebble on every vertex. In this paper we will look at pebblings of oriented paths.