Edge-transitive uniface embeddings of bipartite multi-graphs
It is shown that a bipartite multi-graph Γ has an orientably edge-transitive embedding with a single face if and only if Γ = K m , n ( λ ) such that gcd ( m , n ) = 1 and mn is even whenever λ is even. A consequence of this shows that each orientable surface carries a simple edge-transitive map with...
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| Veröffentlicht in: | Journal of algebraic combinatorics 2019-03, Vol.49 (2), p.125-134 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | It is shown that a bipartite multi-graph
Γ
has an orientably edge-transitive embedding with a single face if and only if
Γ
=
K
m
,
n
(
λ
)
such that
gcd
(
m
,
n
)
=
1
and
mn
is even whenever
λ
is even. A consequence of this shows that each orientable surface carries a simple edge-transitive map with a single face. |
|---|---|
| ISSN: | 0925-9899 1572-9192 |
| DOI: | 10.1007/s10801-018-0821-7 |