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The Maximum Genus on a 3-Vertex-Connected Graph

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Abstract.

 This paper shows that the lower bound on the maximum genus for a 3-vertex-connected graph G, which may have multiple edges and loops, is at least ⅓β(G). This answers the question posed by the authors in [9].

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Received: January 16, 1997 Revised: May 22, 1998

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Huang, Y. The Maximum Genus on a 3-Vertex-Connected Graph. Graphs Comb 16, 159–164 (2000). https://doi.org/10.1007/s003730070022

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  • DOI: https://doi.org/10.1007/s003730070022

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