Highly connected orientations from edge-disjoint rigid subgraphs

We give an affirmative answer to a long-standing conjecture of Thomassen, stating that every sufficiently highly connected graph has a k-vertex-connected orientation. We prove that a connectivity of order $O(k^2)$ suffices. As a key tool, we show that for every pair of positive integers d and...

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Bibliographic Details
Main Authors: Dániel Garamvölgyi, Tibor Jordán, Csaba Király, Soma Villányi
Format: Article
Language:English
Published: Cambridge University Press 2025-01-01
Series:Forum of Mathematics, Pi
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2050508625000046/type/journal_article
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