paper

Γ-species, quotients, and graph enumeration

arXiv:1204.1402

Abstract

The theory of Γ-species is developed to allow species-theoretic study of quotient structures in a categorically rigorous fashion. This new approach is then applied to two graph-enumeration problems which were previously unsolved in the unlabeled case-bipartite blocks and general k-trees.

84 pages, 10 figures, dissertation