| Publisher DOI: | 10.1007/s00373-021-02358-x | Title: | Cycle spectra of contraction-critically 4-connected planar graphs | Language: | English | Authors: | Lo, On-Hei Solomon Schmidt, Jens M.  |
Keywords: | Contraction-critically 4-connected graphs; Cycle spectrum; Cycles; Planar graphs | Issue Date: | 29-Jun-2021 | Publisher: | Springer-Verl. Tokyo | Source: | Graphs and Combinatorics (2021) | Abstract (english): | Motivated by the long-standing and wide open pancyclicity conjectures of Bondy and Malkevitch, we study the cycle spectra of contraction-critically 4-connected planar graphs. We show that every contraction-critically 4-connected planar graph on n vertices contains a cycle of length k for every k∈⌊n2⌋-⌈n108⌉,⋯,⌊n2⌋+⌊n36⌋∪23n,⋯,n. |
URI: | http://hdl.handle.net/11420/9863 | ISSN: | 1435-5914 | Journal: | Graphs and combinatorics | Institute: | Algorithmen und Komplexität E-11 | Document Type: | Article | Project: | Ausfallsicheres Broadcasting durch Unabhängige Spannbäume | Funded by: | Deutsche Forschungsgemeinschaft (DFG) | More Funding information: | On-Hei Solomon Lo’s research was partially supported by NSFC Grants 11971406 and 11622110. Jens M. Schmidt’s research was partially supported by the Grant SCHM 3186/2-1 (401348462) from the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation). |
| Appears in Collections: | Publications without fulltext |
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