Chris Altomare

Graduate Teaching Associate, Mathematics

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Research Interests

Graph theory, partial order theory, well quasi order theory, and relations to logic. More specifically, my dissertation topic, under Neil Robertson, is S.B. Rao's Conjecture, which states that degree sequences of finite graphs are well quasi ordered under the induced subgraph relation. Independently, I am studying a class of combinatorial objects I refer to as Partial Order SYStems (posys for short), which generalize graphs, partial orders, and proof systems arising in mathematical logic. In particular, in addition to developing the basic theory of these objects, the immediate goals are to prove more forbidden minor theorems and to prove results about "disjoint proofs" in posyses that yield graph connectivity theorems when specialized to partial orders (not a typo) and graph matching theorems when specialized to graphs.


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Chris Altomare
Last modified: Mon Mar 27 02:40:22 EST 2006