{\Gamma}-species, quotients, and graph enumeration
Andrew Gainer
TL;DR
This paper develops a categorical framework for {\
Contribution
It introduces {\
Findings
Solved enumeration problems for bipartite blocks and k-trees in the unlabeled case.
Established a species-theoretic approach to quotient structures.
Provided a rigorous categorical foundation for graph enumeration.
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.
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Taxonomy
TopicsChemistry and Stereochemistry Studies · Surface Chemistry and Catalysis · Advanced Graph Theory Research