Monotone Edge Flips to an Orientation of Maximum Edge-Connectivity à la Nash-Williams
نویسندگان
چکیده
We initiate the study of k -edge-connected orientations undirected graphs through edge flips for ≥ 2. prove that in every orientation an 2k graph, there exists a sequence edges such flipping their directions one by does not decrease connectivity, and final is -edge connected. This yields “edge-flip based” new proof Nash-Williams’ theorem: A graph G has if only As another consequence theorem, we edge-flip connected (2k+2) been known to be true when k=1 .
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ژورنال
عنوان ژورنال: ACM Transactions on Algorithms
سال: 2023
ISSN: ['1549-6333', '1549-6325']
DOI: https://doi.org/10.1145/3561302