Longer Cycles in Essentially 4-Connected Planar Graphs

A planar 3-connected graph G is called essentially 4-connected if, for every 3-separator S, at least one of the two components of G − S is an isolated vertex. Jackson and Wormald proved that the length circ(G) of a longest cycle of any essentially 4-connected planar graph G on n vertices is at least...

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Bibliographic Details
Main Authors: Fabrici Igor, Harant Jochen, Mohr Samuel, Schmidt Jens M.
Format: Article
Language:English
Published: Sciendo 2020-02-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.2133