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On the max-cut problem for a planar, cubic, triangle-free graph, and the Chinese postman problem for a planar triangulation by Carsten Thomassen is a Computer Science article available to read on EtoBox.

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## Abstract Every 3‐connected planar, cubic, triangle‐free graph with __n__ vertices has a bipartite subgraph with at least 29__n__/24 − 7/6 edges. The constant 29/24 improves the previously best known constant 6/5 which was considered best possible because of the graph of the dodecahedron. Examples show that the constant 29/24 = 1.2083... cannot be raised to more than 47/38 = 1.2368.... © 2006 Wiley Periodicals, Inc. J Graph Theory 53: 261–269, 2006

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Author
Carsten Thomassen
Publisher
John Wiley and Sons; Wiley (John Wiley & Sons); John Wiley & Sons Inc.; Wiley (ISSN 0364-9024)
Published
2006
Language
EN
Field
Computer Science (Physical Sciences)

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