| 40423 |
Creator |
80b473f9888b354bf7fee26ec7cc369f |
| 40423 |
Creator |
ext-29dc25c5d31f592fa5b7f579c3ebec5b |
| 40423 |
Date |
2014 |
| 40423 |
Is Part Of |
p10778926 |
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Is Part Of |
repository |
| 40423 |
abstract |
For all $m\geq 1$ and $k\geq 2$, 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 $k\geq3$ there are at least $(2m-1)!/2(2m+1)=2^{2m\text{log}_2m-\mathrm{O}(m)}$
nonisomorphic embeddings of this type. We also show that when $k=2$ there are at least
$\frac14 \pi^{\frac12}m^{-\frac{5}{4}}\left(\frac{4m}{e^2}\right)^{\sqrt{m}}{(1-\mathrm{o}(1))}$
nonisomorphic embeddings of this type. |
| 40423 |
authorList |
authors |
| 40423 |
issue |
1 |
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status |
peerReviewed |
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volume |
21 |
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type |
AcademicArticle |
| 40423 |
type |
Article |
| 40423 |
label |
Grannell, Mike and McCourt, Thomas (2014). Doubly even orientable closed 2-cell
embeddings of the complete graph. Electronic Journal of Combinatorics, 21(1), article
no. P1.22. |
| 40423 |
label |
Grannell, Mike and McCourt, Thomas (2014). Doubly even orientable closed 2-cell
embeddings of the complete graph. Electronic Journal of Combinatorics, 21(1), article
no. P1.22. |
| 40423 |
Title |
Doubly even orientable closed 2-cell embeddings of the complete graph. |
| 40423 |
in dataset |
oro |