Magic powers of graphs
Marián Trenkler; Vladimír Vetchý
Mathematica Bohemica (1997)
- Volume: 122, Issue: 2, page 121-124
- ISSN: 0862-7959
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topTrenkler, Marián, and Vetchý, Vladimír. "Magic powers of graphs." Mathematica Bohemica 122.2 (1997): 121-124. <http://eudml.org/doc/248143>.
@article{Trenkler1997,
abstract = {Necessary and sufficient conditions for a graph $G$ that its power $G^i$, $i\ge 2$, is a magic graph and one consequence are given.},
author = {Trenkler, Marián, Vetchý, Vladimír},
journal = {Mathematica Bohemica},
keywords = {magic graph; power of graph; factor of graph; magic graph; power of graph; factor of graph},
language = {eng},
number = {2},
pages = {121-124},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Magic powers of graphs},
url = {http://eudml.org/doc/248143},
volume = {122},
year = {1997},
}
TY - JOUR
AU - Trenkler, Marián
AU - Vetchý, Vladimír
TI - Magic powers of graphs
JO - Mathematica Bohemica
PY - 1997
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 122
IS - 2
SP - 121
EP - 124
AB - Necessary and sufficient conditions for a graph $G$ that its power $G^i$, $i\ge 2$, is a magic graph and one consequence are given.
LA - eng
KW - magic graph; power of graph; factor of graph; magic graph; power of graph; factor of graph
UR - http://eudml.org/doc/248143
ER -
References
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- A. M. Hobbs, Some hamiltonian results in powers of graphs, J. Res. Nat. Bur. Standards Sect. B 77 (1973), 1-10. (1973) Zbl0262.05124MR0337688
- R. H. Jeurissen, 10.1016/S0195-6698(88)80066-0, Europ. J. Combinatorics 9 (1988), 363-368. (1988) Zbl0657.05065MR0950055DOI10.1016/S0195-6698(88)80066-0
- S. Jezný M. Trenkler, Characterization of magic graphs, Czechoslovak Math. J. 33 (1983), 435-438. (1983) MR0718926
- L. Nebeský, On 2-factors in squares of graphs, Czechoslovak Math. J. 29 (1979), 588-594. (1979) MR0548222
- J. Sedláček, Problem 27 in Theory of Graphs and Applications, Proc. Symp. Smolenice. 1963, pp. 163-164. (1963)
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