Highly Influential

4 Excerpts

- Published 2009

The number of distinct maps with a single vertex and valence d is computed for any value of d. The question of what precisely is meant by a map can be answered in several different ways. We enumerate 16 different types of objects where each type is obtained by selecting whether the object is a pre-map or a map, is oriented or general, whether the underlying graph or pre-graph is signed or unsigned, is directed or undirected.

@inproceedings{Orbanic2009ANO,
title={A Note on Enumeration of One-Vertex Maps∗},
author={Alen Orbanic and Marko Petkovsek and Tomaz Pisanski and Primoz Potocnik},
year={2009}
}