Title
Cycle Spectra of Contraction-Critically 4-Connected Planar Graphs
Abstract
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 is an element of{left perpendicular n/2 right perpendicular - inverted right perpendicular n/108 inverted left perpendicular,..., left perpendicular n/2 right perpendicular + left perpendicular n/36 right perpendicular} boolean OR {2/3n, ..., n}.
Year
DOI
Venue
2021
10.1007/s00373-021-02358-x
GRAPHS AND COMBINATORICS
Keywords
DocType
Volume
Cycles, Cycle spectrum, Planar graphs, Contraction-critically 4-connected graphs
Journal
37
Issue
ISSN
Citations 
6
0911-0119
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
On-Hei Solomon Lo102.03
Jens M. Schmidt200.34