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math.CO2009★ 6 cited
Generalized Chung-Feller Theorems for Lattice Paths (Thesis)
Aminul Huq
In this thesis we develop generalized versions of the Chung-Feller theorem for lattice paths constrained in the half plane. The beautiful cycle method which was developed by Devore…
math.CO2007
Compositions of Graphs Revisited
Aminul Huq
The idea of graph compositions, which was introduced by A. Knopfmacher and M. E. Mays, generalizes both ordinary compositions of positive integers and partitions of finite sets. In…