3 papers
math.CO2017
Enumeration of Tree-like Maps with Arbitrary Number of Vertices
Aaron Chun Shing Chan
This paper provides the generating series for the embedding of tree-like graphs of arbitrary number of vertices, accourding to their genus. It applies and extends the techniques of…
math.CO2017
Methods of Enumerating Two Vertex Maps of Arbitrary Genus
Aaron Chun Shing Chan
This paper provides an alternate proof to parts of the Goulden-Slofstra formula for enumerating two vertex maps by genus, which is an extension of the famous Harer-Zagier formula t…
math.RT2012
Some Homological Properties of Tensor and Wreath Products of Quasi-hereditary Algebras
Aaron Chan
We show that taking the wreath product of a quasi-hereditary algebra with symmetric group inherits several homological properties of the original algebra, namely BGG duality, stand…