Geodesic
End-faithful spanning trees of countable graphs with prescribed sets of rays
Czechoslovak Mathematical Journal, Tome 51 (2001) no. 1, pp. 45-53.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

We prove that a countable connected graph has an end-faithful spanning tree that contains a prescribed set of rays whenever this set is countable, and we show that this solution is, in a certain sense, the best possible. This improves a result of Hahn and Širáň Theorem 1.
Classification : 05C05, 05C25, 05C38, 05C99 
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     author = {Polat, Norbert},
     title = {End-faithful spanning trees of countable graphs with prescribed sets of rays},
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Polat, Norbert. End-faithful spanning trees of countable graphs with prescribed sets of rays. Czechoslovak Mathematical Journal, Tome 51 (2001) no. 1, pp. 45-53. http://geodesic.mathdoc.fr/item/CMJ_2001__51_1_a4/