In this paper, we consider the least integer d such that every longest cycle of a k-connected graph of order n (and of independent number α) contains all vertices of degree at least d.
@article{bwmeta1.element.doi-10_7151_dmgt_1861,
author = {Binlong Li and Liming Xiong and Jun Yin},
title = {Large Degree Vertices in Longest Cycles of Graphs, I},
journal = {Discussiones Mathematicae Graph Theory},
volume = {36},
year = {2016},
pages = {363-382},
zbl = {1338.05136},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_7151_dmgt_1861}
}
Binlong Li; Liming Xiong; Jun Yin. Large Degree Vertices in Longest Cycles of Graphs, I. Discussiones Mathematicae Graph Theory, Tome 36 (2016) pp. 363-382. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_7151_dmgt_1861/