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

Vu Dinh Hoa

Discussiones Mathematicae Graph Theory (1998)

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

How to cite


Vu 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>.

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},

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 -


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  2. [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
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  4. [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. [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. [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. [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. [8] J. Van den Heuvel, Degree and Toughness Condition for Cycles in Graphs, Thesis (1994) University of Twente, Enschede Niederland. 

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