Generating Functions of Eulerian and Separtating Eulerian Subgraphs

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c0020035r004.pdf 140 KB エンバーゴ : 2002-06-05
Title
Generating Functions of Eulerian and Separtating Eulerian Subgraphs
Creator
Source Title
島根大学総合理工学部紀要. シリーズB
Volume 35
Start Page 43
End Page 47
Journal Identifire
ISSN 13427121
Descriptions
Throughout this paper, all graphs are assumed to be embedded into an orientable surface. A graph is Eulerian if the degree of every vertex is even. An Eulerian graph is separating if the regions into which the surface is divided by the graph are 2-colorable. Let G be a graph and G^[*] its dual. We show an identity which relates the generating function of Eulerian subgraphs of G and the generating function of separating Eulerian subgraphs of G^[*].
Language
eng
Resource Type departmental bulletin paper
Publisher
島根大学総合理工学部
Date of Issued 2002-03
Publish Type Version of Record
Access Rights open access
Relation
[NCID] AA11157123