# Long induced paths in 3-connected planar graphs

Jorge Luis Arocha; Pilar Valencia

Discussiones Mathematicae Graph Theory (2000)

- Volume: 20, Issue: 1, page 105-107
- ISSN: 2083-5892

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topJorge Luis Arocha, and Pilar Valencia. "Long induced paths in 3-connected planar graphs." Discussiones Mathematicae Graph Theory 20.1 (2000): 105-107. <http://eudml.org/doc/270666>.

@article{JorgeLuisArocha2000,

abstract = {It is shown that every 3-connected planar graph with a large number of vertices has a long induced path.},

author = {Jorge Luis Arocha, Pilar Valencia},

journal = {Discussiones Mathematicae Graph Theory},

keywords = {induced paths; 3-connected planar graphs; long path; embedding},

language = {eng},

number = {1},

pages = {105-107},

title = {Long induced paths in 3-connected planar graphs},

url = {http://eudml.org/doc/270666},

volume = {20},

year = {2000},

}

TY - JOUR

AU - Jorge Luis Arocha

AU - Pilar Valencia

TI - Long induced paths in 3-connected planar graphs

JO - Discussiones Mathematicae Graph Theory

PY - 2000

VL - 20

IS - 1

SP - 105

EP - 107

AB - It is shown that every 3-connected planar graph with a large number of vertices has a long induced path.

LA - eng

KW - induced paths; 3-connected planar graphs; long path; embedding

UR - http://eudml.org/doc/270666

ER -

## References

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- [5] P. Erdős, M. Saks and V. Sós, Maximum Induced Trees in Graphs, J. Combin. Theory (B) 41 (1986) 61-79, doi: 10.1016/0095-8956(86)90028-6.
- [6] A. Frieze and B. Jackson, Large holes in sparse random graphs, Combinatorica 7 (1987) 265-274, doi: 10.1007/BF02579303. Zbl0662.05052
- [7] S. Suen, On large induced trees and long induced paths in sparse random graphs, J. Combin. Theory (B) 56 (1992) 250-262, doi: 10.1016/0095-8956(92)90021-O. Zbl0779.05052

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