101 citations
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math.CO2000
The Imbedding Sum of a Graph
Robert G. Rieper
The automorphisms of a graph act naturally on its set of labeled imbeddings to produce its unlabeled imbeddings. The imbedding sum of a graph is a polynomial that contains useful i…
math.CO2000★ 2 cited
Continued fractions and Catalan problems
Mahendra Jani, Robert G. Rieper
We find a generating function expressed as a continued fraction that enumerates ordered trees by the number of vertices at different levels. Several Catalan problems are mapped to…