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The diagnosability of triangle-free graphs

โœ Scribed by Lin, Cheng-Kuan; Teng, Yuan-Hsiang


Book ID
122308669
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
364 KB
Volume
530
Category
Article
ISSN
0304-3975

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We show that for every k โ‰ฅ 1 and ฮด > 0 there exists a constant c > 0 such that, with probability tending to 1 as n โ†’ โˆž, a graph chosen uniformly at random among all triangle-free graphs with n vertices and M โ‰ฅ cn 3/2 edges can be made bipartite by deleting ฮดM edges. As an immediate consequence of th