The maximum genus of vertex-transitive g
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Martin Ε koviera; Roman Nedela
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Article
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1989
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Elsevier Science
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English
β 911 KB
The maximum genus of all vertex-transitive graphs is computed. It is proved that a k-valent vertex-transitive graph of girth g is upper-embeddable whenever k 3 4 or g 2 4. Non-upper-embeddable vertex-transitive graphs are characterized. A particular attention is paid to Cayley graphs. Groups for wh