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arxiv: 1309.4481 · v1 · pith:EJUNDY4Mnew · submitted 2013-09-17 · 🧮 math.CO

Enumeration of labeled and unlabeled k-gonal and polygonal 2-trees and succulents by vertices

classification 🧮 math.CO
keywords enumeratek-gonalpolygonalsucculentstreesverticescacticlass
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We use the theory of \Gamma-species to enumerate k-gonal and polygonal 2-trees with respect to their vertices. We then extend this result to enumerate "succulents", a tree-like class of graphs which generalize cacti.

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