[2,3]-factors in a 3-connected infinite planar graph |
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Authors: | Hwan-Ok Jung |
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Affiliation: | 1. Departent of Mathematics, Hanshin University, 447-791, Osan, Korea
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Abstract: | For two integersm, n withm<-n, an[m, n]-factorF in a graphG is a spanning subgraph ofG withm<-d F (v)<-n for allv∈V(F). In 1996, H. Enomoto et al. proved that every 3-connected planar graphG withd G (v)>-4 for allv∈V(G) contains a [2,3]-factor. In this paper we extend their result to all 3-connected locally finite infinite planar graphs containing no unbounded faces. |
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