Chords of longest circuits of graphs embedded in torus and Klein bottle
نویسندگان
چکیده
Thomassen conjectured that every longest circuit of a 3connected graph has a chord. It is proved in this paper that every longest circuit of a 4-connected graph embedded in a torus or Klein bottle has a chord. 2003 Wiley Periodicals, Inc. J Graph Theory 43: 1–23, 2003
منابع مشابه
On the restricted matching extension of graphs on the torus and the Klein bottle
Aldred and Plummer proved that every 6-connected even graph minimally embedded on the torus or the Klein bottle is E(1, n)(n ≤ 3) and E(0, n)(n ≤ 5) [R.E.L. Aldred, M.D. Plummer, Restricted matching in graphs of small genus, Discrete Math. 308 (2008) 5907–5921]. In this paper, we can remove the upper bounds on n by showing that every even 6-regular graph G embedded on the torus or the Klein bot...
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عنوان ژورنال:
- Journal of Graph Theory
دوره 43 شماره
صفحات -
تاریخ انتشار 2003