Title of article
The structure and unlabelled enumeration of toroidal graphs with no K3,3ʹs
Author/Authors
Gagarin، نويسنده , , Andrei and Labelle، نويسنده , , Gilbert and Leroux، نويسنده , , Pierre، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2006
Pages
8
From page
69
To page
76
Abstract
We characterize the toroidal graphs with no K3,3-subdivisions as canonical compositions in which 2-pole planar networks are substituted for the edges of non-planar cores. This structure enables us to enumerate these graphs. We describe an explicit enumerative approach that requires unlabelled enumeration of 2-connected planar graphs.
Keywords
Toroidal graph , embedding in a surface , unlabelled enumeration
Journal title
Electronic Notes in Discrete Mathematics
Serial Year
2006
Journal title
Electronic Notes in Discrete Mathematics
Record number
1454266
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