Γ-species, quotients, and graph enumeration

Details Γ-species, quotients, and graph enumeration Γ-species, quotients, and graph enumeration

2012-04-06

arxiv.org/abs/1204.1402v1

Mathematics

Combinatorics

84 pages, 10 figures, dissertation

Scientific paper

The theory of {\Gamma}-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.

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