Counting One-Vertex Maps

Mathematics – Combinatorics

Scientific paper

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8 pages, 4 tables

Scientific paper

The number of distinct maps (pre-maps) with a single vertex and valence $d$
is computed for any value of $d$. The types of maps (pre-maps) that we consider
depend on whether the underlaying graph (pre-graph) is signed or unsigned and
directed or undirected.

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