A note on two circumference generalizations of Chvátal's Hamiltonicity condition

Ladislav Stacho

Mathematica Slovaca (2002)

  • Volume: 52, Issue: 2, page 127-133
  • ISSN: 0232-0525

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Stacho, Ladislav. "A note on two circumference generalizations of Chvátal's Hamiltonicity condition." Mathematica Slovaca 52.2 (2002): 127-133. <http://eudml.org/doc/34550>.

@article{Stacho2002,
author = {Stacho, Ladislav},
journal = {Mathematica Slovaca},
keywords = {circumference; Hamiltonicity condition; degree sequence},
language = {eng},
number = {2},
pages = {127-133},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {A note on two circumference generalizations of Chvátal's Hamiltonicity condition},
url = {http://eudml.org/doc/34550},
volume = {52},
year = {2002},
}

TY - JOUR
AU - Stacho, Ladislav
TI - A note on two circumference generalizations of Chvátal's Hamiltonicity condition
JO - Mathematica Slovaca
PY - 2002
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 52
IS - 2
SP - 127
EP - 133
LA - eng
KW - circumference; Hamiltonicity condition; degree sequence
UR - http://eudml.org/doc/34550
ER -

References

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  1. BEDROSSIAN P., CHEN G., SCHELP R. H., A generalization of Fan's condition for hamiltonicity, pancyclicity, and hamiltonian connectedness, Discrete Math. 115 (1993), 39-50. (1993) Zbl0773.05075MR1217616
  2. BOLLOBÁS B., Extremal Graph Theory, Acad. Press, London-New York-San Francisco, 1978. (1978) MR0506522
  3. BOLLOBÁS B., BRIGHTWELL G., Cycles through specified vertices, Combinatorica 13 (1993), 147 -155. (1993) Zbl0780.05033MR1237038
  4. BONDY J. A., Large cycles in graphs, Discrete Math. 1 (1971), 121-132. (1971) Zbl0224.05120MR0286694
  5. BONDY J. A., LOVÁSZ L., Cycles through specified vertices of a graph, Combinatorica 1 (1981). 117-140. (1981) Zbl0492.05049MR0625545
  6. HÄGGKVIST R., [unknown], (Personal communication with J. A. Bondy). Zbl1218.05129
  7. CHVÁTAL V., On hamilton's ideals, J. Combin. Theory Ser. B 12 (1972), 163-168. (1972) Zbl0213.50803MR0294155
  8. SHI R., 2-Neighborhoods and hamiltonian conditions, J. Graph Theory 16 (1992), 267-271. (1992) Zbl0761.05066MR1168586

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