A result on combinatorial curvature for embedded graphs on a surface |
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| Authors: | Lili Zhang |
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| Affiliation: | Department of Computer and Information Engineering, Hohai University, China Department of Mathematics, Nanjing Normal University, Nanjing, China |
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| Abstract: | Let G be an infinite graph embedded in a surface such that each open face of the embedding is homeomorphic to an open disk and is bounded by finite number of edges. For each vertex x of G, we define the combinatorial curvature |
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| Keywords: | Combinatorial curvature Gauss-Bonnet formula Euler relation Infinite graph Embedding Face cycle Finiteness theorem |
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