English

{\Gamma}-species, quotients, and graph enumeration

Combinatorics 2012-04-09 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1204.1402,
  title  = {{\Gamma}-species, quotients, and graph enumeration},
  author = {Andrew Gainer},
  journal= {arXiv preprint arXiv:1204.1402},
  year   = {2012}
}

Comments

84 pages, 10 figures, dissertation

R2 v1 2026-06-21T20:45:35.712Z