A Hamiltonian cycle and a 1 -factor in the fourth power of a graph

Elena Wisztová

Časopis pro pěstování matematiky (1985)

  • Volume: 110, Issue: 4, page 403-412
  • ISSN: 0528-2195

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Wisztová, Elena. "A Hamiltonian cycle and a $1$-factor in the fourth power of a graph." Časopis pro pěstování matematiky 110.4 (1985): 403-412. <http://eudml.org/doc/21606>.

@article{Wisztová1985,
author = {Wisztová, Elena},
journal = {Časopis pro pěstování matematiky},
keywords = {Hamiltonian graph; Hamilton cycle; Regular factors},
language = {eng},
number = {4},
pages = {403-412},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {A Hamiltonian cycle and a $1$-factor in the fourth power of a graph},
url = {http://eudml.org/doc/21606},
volume = {110},
year = {1985},
}

TY - JOUR
AU - Wisztová, Elena
TI - A Hamiltonian cycle and a $1$-factor in the fourth power of a graph
JO - Časopis pro pěstování matematiky
PY - 1985
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 110
IS - 4
SP - 403
EP - 412
LA - eng
KW - Hamiltonian graph; Hamilton cycle; Regular factors
UR - http://eudml.org/doc/21606
ER -

References

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  1. M. Behzad, G. Chartrand, Intгoduction to the Theoгy of Gгaphs, Allyn and Bacon, Boston 1971. (1971) MR0432461
  2. G. Chartrand A. D. Polimeni, M. J. Stewart, 10.1016/1385-7258(73)90007-3, Indagationes Мath. 35 (1973), 228-232. (1973) MR0321809DOI10.1016/1385-7258(73)90007-3
  3. F. Harary, Graph Theoгy, Аddison-Wesley, Reading, Mass. 1969. (1969) 
  4. L. Nebeský, On the existence of a 3-factoг in the fouгth poweг of a gгaph, Čas. pěst. mat. 105 (1980), 204-207. (1980) MR0573113
  5. L. Nebeský, E. Wisztová, Regular factoгs in poweгs of graphs, Čas. pěst. mat. 106 (1981), 52-59. (1981) MR0613706
  6. L. Nebeský, E. Wisztová, Two edge-disjoint hamiltonian cycles of powers of a graph, Submitted. 
  7. M. Sekanina, On an ordering of the set of vertices of a connected graph, Publ. Sci. Univ. Brno 412 (1960), 137-142. (1960) Zbl0118.18903MR0140095
  8. D. P. Sumner, Graphs with 1-factors, Proc. Аmer. Math. Soc. 42 (1974), 8-12. (1974) Zbl0293.05157MR0323648

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