On Longest Cycles in Essentially 4-Connected Planar Graphs

A planar 3-connected graph G is essentially 4-connected if, for any 3-separator S of G, one component of the graph obtained from G by removing S is a single vertex. Jackson and Wormald proved that an essentially 4-connected planar graph on n vertices contains a cycle C such that . For a cubic essent...

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Bibliographic Details
Main Authors: Fabrici Igor, Harant Jochen, Jendroľ Stanislav
Format: Article
Language:English
Published: Sciendo 2016-08-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.1875