Title
Doubly Even Orientable Closed 2-cell Embeddings of the Complete Graph.
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. Grannell14011.20
Thomas A. McCourt221.48