All Graphs Have Tree-Decompositions Displaying Their Topological Ends

  • Johannes CarmesinEmail author


We show that every connected graph has a spanning tree that displays all its topological ends. This proves a 1964 conjecture of Halin in corrected form, and settles a problem of Diestel from 1992.

Mathematics Subject Classification (2010)

05C63 05B35 


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Copyright information

© János Bolyai Mathematical Society and Springer-Verlag 2019

Authors and Affiliations

  1. 1.University of BirminghamBirminghamUK

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