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- W2074857413 abstract "It was conjectured by Thomassen ([B. Alspach, C. Godsil, Cycle in graphs, Ann. Discrete Math. 27 (1985)], p. 466) that every longest circuit of a 3-connected graph must have a chord. This conjecture is verified for locally 4-connected planar graphs, that is, let N be the set of natural numbers; then there is a function h : N → N such that, for every 4-connected graph G embedded in a surface S with Euler genus g and face-width at least h ( g ) , every longest circuit of G has a chord." @default.
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- W2074857413 date "2007-01-01" @default.
- W2074857413 modified "2023-09-24" @default.
- W2074857413 title "Chords of longest circuits in locally planar graphs" @default.
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- W2074857413 doi "https://doi.org/10.1016/j.ejc.2005.07.017" @default.
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