# Long cycles and neighborhood union in 1-tough graphs with large degree sums

Discussiones Mathematicae Graph Theory (1998)

- Volume: 18, Issue: 1, page 5-13
- ISSN: 2083-5892

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topVu Dinh Hoa. "Long cycles and neighborhood union in 1-tough graphs with large degree sums." Discussiones Mathematicae Graph Theory 18.1 (1998): 5-13. <http://eudml.org/doc/270759>.

@article{VuDinhHoa1998,

abstract = {},

author = {Vu Dinh Hoa},

journal = {Discussiones Mathematicae Graph Theory},

keywords = {graphs; neighborhood; toughness; cycles; long cycle; hamiltonicity},

language = {eng},

number = {1},

pages = {5-13},

title = {Long cycles and neighborhood union in 1-tough graphs with large degree sums},

url = {http://eudml.org/doc/270759},

volume = {18},

year = {1998},

}

TY - JOUR

AU - Vu Dinh Hoa

TI - Long cycles and neighborhood union in 1-tough graphs with large degree sums

JO - Discussiones Mathematicae Graph Theory

PY - 1998

VL - 18

IS - 1

SP - 5

EP - 13

AB -

LA - eng

KW - graphs; neighborhood; toughness; cycles; long cycle; hamiltonicity

UR - http://eudml.org/doc/270759

ER -

## References

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- [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. Zbl0764.05050
- [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. Zbl0713.05041
- [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. Zbl0736.05054
- [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. Zbl0741.05039
- [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. Zbl0746.05038
- [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. Zbl0791.05063
- [8] J. Van den Heuvel, Degree and Toughness Condition for Cycles in Graphs, Thesis (1994) University of Twente, Enschede Niederland.

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