Allen, Peter, Böttcher, Julia, Kohayakawa, Yoshiharu and Person, Yury (2013) Tight Hamilton cycles in random hypergraphs. Random Structures and Algorithms, online . n/a-n/a. ISSN 1042-9832 (In Press)
We give an algorithmic proof for the existence of tight Hamilton cycles in a random r-uniform hypergraph with edge probability p=n-1+ε for every ε>0. This partly answers a question of Dudek and Frieze (Random Struct Algor 42 (2013), 374-385), who used a second moment method to show that tight Hamilton cycles exist even for p=ω(n)/n(r≥3) where ω(n)→∞ arbitrary slowly, and for p=(e+o(1))/n(r≥4). The method we develop for proving our result applies to related problems as well.
|Additional Information:||© 2013 Wiley|
|Library of Congress subject classification:||Q Science > QA Mathematics|
|Sets:||Departments > Mathematics|
|Date Deposited:||12 Dec 2013 14:27|
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