Author Archives: Courtney Gibbons

Welcome!

By Courtney Gibbons | Published: August 23, 2007
I am a graduate student at the University of Nebraska-Lincoln specializing in Commutative Algebra under Roger Wiegand. I attended The Colorado College as an undergraduate, where I earned my BA in Mathematics with Distinction. After graduation, I spent a year working in The Colorado College Mathematics and Computer Science department as a paraprofessional. Some [...]
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Critical Pebbling Numbers of Graphs

By Courtney Gibbons | Published: September 29, 2006
With Dr. Joshua Laison and Erick J. Paul. Submitted to Discrete Math in September of 2004. Abstract: If some pebbles are distributed on the vertices of a graph, a pebbling step takes two pebbles from one vertex and replaces one at an adjacent vertex. A distribution D of pebbles is solvable if, starting from D, a [...]
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Fixing Numbers of Graphs and Groups

By Courtney Gibbons | Published: September 29, 2006
With Dr. Joshua Laison. Submitted to The Online Journal of Combinatorics in September, 2006. Abstract: The fixing number of a graph G is the smallest cardinality of a set of vertices S such that only the trivial automorphism of G fixes every vertex in S. The fixing set of a group Γ is the set of [...]
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Proof People

By Courtney Gibbons | Published: May 31, 2006
I spilled coffee on a proof I had been working on, and the coffee drops became little people. If you enjoyed this, head over to Brown Sharpie, my math webcomic.
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