Abstract | ||
---|---|---|
For all rn >= 1 and k >= 2, we construct closed 2-cell embeddings of the complete graph K-8km | 4k | 1 with faces of size 4k in orientable surfaces. Moreover, we show that when k >= 3 there are at least (2m - 1)!/2(2m + 1) = 2(2mlog2m-O(m)) nonisomorphic embeddings of this type. We also show that when k = 2 there are at least 1/4 pi(1/2) m(-5/4) (4m/e(2))(root m) (1 - o(1)) nonisomorphic embeddings of this type. |
Year | Venue | Field |
---|---|---|
2014 | ELECTRONIC JOURNAL OF COMBINATORICS | Complete graph,Discrete mathematics,Combinatorics,Mathematics |
DocType | Volume | Issue |
Journal | 21 | 1.0 |
ISSN | Citations | PageRank |
1077-8926 | 0 | 0.34 |
References | Authors | |
2 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Mike J. Grannell | 1 | 40 | 11.20 |
Thomas A. McCourt | 2 | 2 | 1.48 |