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}
}
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

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