Research
My primary interests lie in graph theory, the study of networks as abstract mathematical objects. My work includes a close look at the relationship between spanning trees, forbidden subgraphs, and independent sets. I also have a collaboration on partially ordered sets currently being reviewed, have begun looking at the saturation spectrum of a family of graphs called books, and have returned to a previously dormant project on Sylvester colorings of snarks. My research statement is divided into four sections, one describing each topic. Aspects of all four topics are likely to be accessible for qualified undergraduates.
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