Long induced paths in 3-connected planar graphs

• Autorzy: Jorge Luis Arocha , Pilar Valencia
• Języki publikacji: EN

Abstrakty

EN

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

Słowa kluczowe

EN

induced paths; 3-connected planar graphs

Kategorie tematyczne

• 05C38: Paths and cycles
• 05C40: Connectivity

• Wydawca: De Gruyter Open
• Czasopismo: Discussiones Mathematicae Graph Theory
• Rocznik: 2000
• Tom: 20
• Numer: 1
• Strony: 105-107

Daty

wydano

2000

otrzymano

1999-06-22

poprawiono

1999-10-01

Twórcy

autor

Jorge Luis Arocha

• Instituto de Matemáticas, UNAM, Ciudad Universitaria, Area de la Investigación Científica, Circuito Exterior, México, D.F. 04510

autor

Pilar Valencia

• Instituto de Matemáticas, UNAM, Ciudad Universitaria, Area de la Investigación Científica, Circuito Exterior, México, D.F. 04510

Bibliografia

• [1] P. Alles and S. Poljak, Long induced paths and cycles in Kneser graphs, Graphs Combin. 5 (1989) 303-306, doi: 10.1007/BF01788684.
• [2] G. Bacsó and Z. Tuza, A Characterization of Graphs Without Long Induced Paths, J. Graph Theory 14 (1990) 455-464, doi: 10.1002/jgt.3190140409.
• [3] F. Buckley and F. Harary, On longest induced path in graphs, Chinese Quart. J. Math. 3 (1988) 61-65.
• [4] J. Dong, Some results on graphs without long induced paths, J. Graph Theory 22 (1996) 23-28, doi: 10.1002/(SICI)1097-0118(199605)22:1<23::AID-JGT4>3.0.CO;2-N
• [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.
• [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.

Identyfikatory

DOI

10.7151/dmgt.1110