Spanning trees of infinite graphs

Norbert Polat

Czechoslovak Mathematical Journal (1991)

  • Volume: 41, Issue: 1, page 52-60
  • ISSN: 0011-4642

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Polat, Norbert. "Spanning trees of infinite graphs." Czechoslovak Mathematical Journal 41.1 (1991): 52-60. <http://eudml.org/doc/13898>.

@article{Polat1991,
author = {Polat, Norbert},
journal = {Czechoslovak Mathematical Journal},
keywords = {infinite locally finite graph; spanning tree; ray; end; local finiteness; coterminal spanning tree},
language = {eng},
number = {1},
pages = {52-60},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Spanning trees of infinite graphs},
url = {http://eudml.org/doc/13898},
volume = {41},
year = {1991},
}

TY - JOUR
AU - Polat, Norbert
TI - Spanning trees of infinite graphs
JO - Czechoslovak Mathematical Journal
PY - 1991
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 41
IS - 1
SP - 52
EP - 60
LA - eng
KW - infinite locally finite graph; spanning tree; ray; end; local finiteness; coterminal spanning tree
UR - http://eudml.org/doc/13898
ER -

References

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  1. H. Freudenthal, 10.1007/BF02566233, Comment. Math. Helv. 17 (1944), 1 - 38. (1944) MR0012214DOI10.1007/BF02566233
  2. R. Halin, 10.1007/BF01362670, Math. Ann. 157 (1964), 125-137. (1964) Zbl0125.11701MR0170340DOI10.1007/BF01362670
  3. R. Halin, 10.1002/mana.19650300106, Math. Nachr. 30 (1965), 63-85. (1965) Zbl0131.20904MR0190031DOI10.1002/mana.19650300106
  4. R. Halin, 10.1002/mana.19700440109, Math. Nachr. 44 (1970), 119-127. (1970) MR0270953DOI10.1002/mana.19700440109
  5. R. Halin, 10.1016/S0167-5060(08)70500-4, Ann. Discrete Math. 3 (1978), 93-109. (1978) MR0499113DOI10.1016/S0167-5060(08)70500-4
  6. N. Polat, 10.1007/BF01175130, Math. Z 165 (1979), 73-100. (1979) Zbl0387.05007MR0521521DOI10.1007/BF01175130
  7. N. Polat, Aspects topologiques de la séparation dans les graphes infinis. II, Math. Z 165 (1979), 171-191. (1979) MR0520819
  8. N. Polat, 10.1002/mana.19821070124, Math. Nachr. 107 (1982), 283-314. (1982) Zbl0536.05043MR0695755DOI10.1002/mana.19821070124
  9. N. Polat, 10.1002/mana.19831100108, Degré de développement terminal, Math. Nachr. 110 (1983), 97-125. (1983) Zbl0536.05044MR0721268DOI10.1002/mana.19831100108
  10. N. Polat, 10.1002/mana.19841150126, Arbres maximaux sans rayon, cardinalité maximum des ensembles disjoint de rayons, Math. Nachr. 115 (1984), 337-352. (1984) Zbl0536.05045MR0755288DOI10.1002/mana.19841150126
  11. N. Polat, Topological apsects of infinite graphs, in Cycles and Rays (G. Hahn et al., eds), NATO ASI Ser. C, Kluwer Academic Publishers, Dordrecht 1990, pp. 197-220. (1990) MR1096994
  12. P. Seymour, R. Thomas, As end-faithful spanning tree counterexample, Preprint. MR1045600
  13. B. Zelinka, Spanning Trees of Locally Finite Graphs, Czech. Math. J. 39 (1989), 193-197. (1989) Zbl0679.05023MR0992126

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