Highly Influenced

# Total embedding distributions for bouquets of circles

@article{Kwak2002TotalED, title={Total embedding distributions for bouquets of circles}, author={Jin Ho Kwak and Sang Ho Shim}, journal={Discrete Mathematics}, year={2002}, volume={248}, pages={93-108} }

- Published 2002 in Discrete Mathematics
DOI:10.1016/S0012-365X(01)00187-X

Crosscap-number distributions, the distribution of graph embeddings into nonorientable surfaces, have been known for only a few cases. Chen et al. (Discrete Math. 128 (1994) 73) calculated the crosscap-number distribution of necklaces, closed-end ladders and cobblestone paths. In this paper, we compute the total genus polynomials and the total embedding polynomials of bouquets of circles with an aid of edge-attaching surgery technique. It extends their genus distributions computed by Gross et… CONTINUE READING