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arxiv: 1409.6640 · v5 · pith:637KFPRHnew · submitted 2014-09-23 · 🧮 math.CO

All graphs have tree-decompositions displaying their topological ends

classification 🧮 math.CO
keywords endstopologicalconjectureconnectedcorrecteddiesteldisplayingdisplays
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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.

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