It is shown that every 3-connected planar graph with a large number of vertices has a long induced path.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmgt_1110, author = {Jorge Luis Arocha and Pilar Valencia}, title = {Long induced paths in 3-connected planar graphs}, journal = {Discussiones Mathematicae Graph Theory}, volume = {20}, year = {2000}, pages = {105-107}, zbl = {0960.05059}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgt_1110} }
Jorge Luis Arocha; Pilar Valencia. Long induced paths in 3-connected planar graphs. Discussiones Mathematicae Graph Theory, Tome 20 (2000) pp. 105-107. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgt_1110/
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