| Title:
|
Spanning trees of infinite graphs (English) |
| Author:
|
Polat, Norbert |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
41 |
| Issue:
|
1 |
| Year:
|
1991 |
| Pages:
|
52-60 |
| . |
| Category:
|
math |
| . |
| MSC:
|
05C05 |
| idZBL:
|
Zbl 0793.05054 |
| idMR:
|
MR1087622 |
| DOI:
|
10.21136/CMJ.1991.102432 |
| . |
| Date available:
|
2008-06-09T15:36:44Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102432 |
| . |
| Reference:
|
[1] H. Freudenthal: Über die Enden diskreter Räume und Gruppen.Comment. Math. Helv. 17 (1944), 1 - 38. MR 0012214, 10.1007/BF02566233 |
| Reference:
|
[2] R. Halin: Über unendliche Wege in Graphen.Math. Ann. 157 (1964), 125-137. Zbl 0125.11701, MR 0170340, 10.1007/BF01362670 |
| Reference:
|
[3] R. Halin: Über die Maximalzahl fremder unendlicher Wege in Graphen.Math. Nachr. 30 (1965), 63-85. Zbl 0131.20904, MR 0190031, 10.1002/mana.19650300106 |
| Reference:
|
[4] R. Halin: Die Maximalzahl fremder zweiseitig unendliche Wege in Graphen.Math. Nachr. 44 (1970), 119-127. MR 0270953, 10.1002/mana.19700440109 |
| Reference:
|
[5] R. Halin: Simplicial decomposition of infinite graphs.Ann. Discrete Math. 3 (1978), 93-109. MR 0499113, 10.1016/S0167-5060(08)70500-4 |
| Reference:
|
[6] N. Polat: Aspects topologiques de la séparation dans les graphes infinis. I.Math. Z 165 (1979), 73-100. Zbl 0387.05007, MR 0521521, 10.1007/BF01175130 |
| Reference:
|
[7] N. Polat: Aspects topologiques de la séparation dans les graphes infinis. II.Math. Z 165 (1979), 171-191. MR 0520819 |
| Reference:
|
[8] N. Polat: Développements terminaux des graphes infinis. I. Arbres maximaux coterminaux.Math. Nachr. 107 (1982), 283-314. Zbl 0536.05043, MR 0695755, 10.1002/mana.19821070124 |
| Reference:
|
[9] N. Polat: Développements terminaux des graphes infinis. II.Degré de développement terminal, Math. Nachr. 110 (1983), 97-125. Zbl 0536.05044, MR 0721268, 10.1002/mana.19831100108 |
| Reference:
|
[10] N. Polat: Développements terminaux des graphes infinis. III.Arbres maximaux sans rayon, cardinalité maximum des ensembles disjoint de rayons, Math. Nachr. 115 (1984), 337-352. Zbl 0536.05045, MR 0755288, 10.1002/mana.19841150126 |
| Reference:
|
[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. MR 1096994 |
| Reference:
|
[12] P. Seymour, R. Thomas: As end-faithful spanning tree counterexample.Preprint. MR 1045600 |
| Reference:
|
[13] B. Zelinka: Spanning Trees of Locally Finite Graphs.Czech. Math. J. 39 (1989), 193-197. Zbl 0679.05023, MR 0992126 |
| . |
