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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Zielona Góra
2016-08-01
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| Series: | Discussiones Mathematicae Graph Theory |
| Subjects: | |
| Online Access: | https://doi.org/10.7151/dmgt.1875 |