@article{8749c57a266d44239e22fcbb05d7396e,
title = "A note on the shortness coefficient and the hamiltonicity of 4-connected line graphs",
abstract = "Thomassen proposed a well-known conjecture: every 4-connected line graph is hamiltonian. In this note, we show that Thomassen's conjecture is equivalent to the statement that the shortness coefficient of the class of all 4-connected line graphs is one and the statement that the shortness coefficient of the class of all 4-connected claw-free graphs is one respectively.",
keywords = "Dominating cycle conjecture, Essentially edge connected graph, Line graph, Shortness coefficient, Thomassen's conjecture",
author = "Liming Xiong and Roman Ku{\v z}el",
year = "2005",
month = mar,
doi = "10.1007/s00373-004-0595-7",
language = "English",
volume = "21",
pages = "137--144",
journal = "Graphs and Combinatorics",
issn = "0911-0119",
publisher = "Springer Japan",
number = "1",
}