Long cycles and neighborhood union in 1-tough graphs with large degree sums
Vu Dinh Hoa
Discussiones Mathematicae Graph Theory, Tome 18 (1998), p. 5-13 / Harvested from The Polish Digital Mathematics Library
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Publié le : 1998-01-01
EUDML-ID : urn:eudml:doc:270759 
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     title = {Long cycles and neighborhood union in 1-tough graphs with large degree sums},
     journal = {Discussiones Mathematicae Graph Theory},
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     year = {1998},
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Vu Dinh Hoa. Long cycles and neighborhood union in 1-tough graphs with large degree sums. Discussiones Mathematicae Graph Theory, Tome 18 (1998) pp. 5-13. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgt_1059/

[000] [1] A. Bigalke and H.A. Jung, Über Hamiltonsche Kreise und unabhängige Ecken in Graphen, Monatsh. Mathematics 88 (1979) 195-210, doi: 10.1007/BF01295234. | Zbl 0396.05033

[001] [2] B. Faß, A sufficient condition on degree sums of independent triples for hamiltonian cycles in 1-tough graphs, Ars Combinatoria 33 (1992) 300-304. | Zbl 0764.05050

[002] [3] D. Bauer, A. Morgana, E. Schmeichel and H.J. Veldman, Long cycles in graphs with large degree sums, Discrete Mathematics 79 (1989/90) 59-70, doi: 10.1016/0012-365X(90)90055-M. | Zbl 0713.05041

[003] [4] D. Bauer, H.J. Broersma and H.J. Veldman, Around three lemmas in hamiltonian graph theory, in: R. Bodendiek and R. Henn, eds., Topics in Combinatorics and Graph Theory. Festschrift in honour of Gerhard Ringel, Physica-Verlag, Heidelberg (1990) 101-110. | Zbl 0736.05054

[004] [5] D. Bauer, G. Fan and H.J. Veldman, Hamiltonian properties of graphs with large neighborhood unions, Discrete Mathematics 96 (1991) 33-49, doi: 10.1016/0012-365X(91)90468-H. | Zbl 0741.05039

[005] [6] E. Flandrin, H.A. Jung and H. Li, Hamiltonism, degree sum and neighborhood intersections, Discrete Mathematics 90 (1991) 41-52, doi: 10.1016/0012-365X(91)90094-I. | Zbl 0746.05038

[006] [7] H.J. Broersma, J. Van den Heuvel and H.J. Veldman, Long Cycles, Degree sums and Neighborhood Unions, Discrete Mathematics 121 (1993) 25-35, doi: 10.1016/0012-365X(93)90534-Z. | Zbl 0791.05063

[007] [8] J. Van den Heuvel, Degree and Toughness Condition for Cycles in Graphs, Thesis (1994) University of Twente, Enschede Niederland.