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A note on the maximum genus of 3-edge-connected nonsimple graphs
Authors:Huang Yuanqiu
Affiliation:(1) Dept. of Math., Human Normal Univ., 410081 Changsha
Abstract:
Let G be a 3-edge-connected graph (possibly with multiple edges or loops), and let γ M (G) and β(G) be the maximum genus and the Betti number of G, respectively. Then γ M (G) can be proved and this answers a question posed by Chen, et al. in 1996. Supported by NNSF of China (19801013).
Keywords:Maximum genus   upper embeddable   Betti defficiency.
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