On the Circumference of 3-connected Graphs |
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| Authors: | Heinz A. Jung Elkin Vumar |
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| Affiliation: | 1. FB 3-Mathematik, MA 8-1, Technische Universit?t Berlin, Strasse des 17. Juni 136, 10623, Berlin, Germany
2. FB 3-Mathematik, MA 8-1, Technische Universit?t Berlin, Strasse des 17. Juni 136, 10623, Berlin, Germany
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| Abstract: | Let C be a longest cycle in the 3-connected graph G and let H be a component of G - V(C) such that ¦V(H)¦≥ 3. We supply estimates of the form ¦C¦ ≥ 2d(u) + 2d(v) ? a (4 ≤ a ≤ 8), where u, v are suitably chosen non-adjacent vertices in G. |
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