Title of article
Complete bipartite graphs with a unique regular embedding
Author/Authors
Jones، نويسنده , , Gareth and Nedela، نويسنده , , Roman and ?koviera، نويسنده , , Martin، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2008
Pages
8
From page
241
To page
248
Abstract
We show that the complete bipartite graph K n , n has a unique regular embedding in an orientable surface if and only if n is coprime to ϕ ( n ) . The method, involving groups which factorise as a product of two cyclic groups, is also used to classify such embeddings when n is the square of a prime.
Keywords
Complete bipartite graph , Regular map , Regular embedding , Product of cyclic groups , Orientable surface
Journal title
Journal of Combinatorial Theory Series B
Serial Year
2008
Journal title
Journal of Combinatorial Theory Series B
Record number
1528678
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