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On the Circumference of 3-connected Graphs

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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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Correspondence to Heinz A. Jung*.

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Jung*, H.A., Vumar, E. On the Circumference of 3-connected Graphs. Results. Math. 41, 118–127 (2002). https://doi.org/10.1007/BF03322759

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  • DOI: https://doi.org/10.1007/BF03322759

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