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On 2-factors with long cycles in cubic graphsKündgen, André ; Richter, R. BruceEvery 2-connected cubic graph ▫$G$▫ has a 2-factor, and much effort has gone into studying conditions that guarantee ▫$G$▫ to be Hamiltonian. We show that if ▫$G$▫ is not Hamiltonian, then ▫$G$▫ is ... either the Petersen graph or contains a 2-factor with a cycle of length at least 7. We also give infinite families of, respectively, 2- and 3-connected cubic graphs in which every 2-factor consists of cycles of length at most, respectively, 10 and 16.Source: Ars mathematica contemporanea. - ISSN 1855-3966 (Vol. 4, no. 1, 2011, str. 79-93)Type of material - article, component partPublish date - 2011Language - englishCOBISS.SI-ID - 16263257
Author
Kündgen, André |
Richter, R. Bruce
Topics
teorija grafov |
kubični grafi |
2-faktor |
dolg cikel |
snark |
neskončen graf |
graph theory |
cubic graph |
2-factor |
long cycle |
snark |
infinite graph
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Kündgen, André | |
Richter, R. Bruce |
Source: Personal bibliographies
and: SICRIS
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