Sharp Threshold for Hamiltonicity of Random Geometric Graphs
نویسندگان
چکیده
منابع مشابه
Sharp threshold for hamiltonicity of random geometric graphs
We show for an arbitrary lp norm that the property that a random geometric graph G(n, r) contains a Hamiltonian cycle exhibits a sharp threshold at r = r(n) = √ log n αpn , where αp is the area of the unit disk in the lp norm. The proof is constructive and yields a linear time algorithm for finding a Hamiltonian cycle of G(n, r) a.a.s., provided r = r(n) ≥
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ژورنال
عنوان ژورنال: SIAM Journal on Discrete Mathematics
سال: 2007
ISSN: 0895-4801,1095-7146
DOI: 10.1137/060665300