Disjoint Hamilton cycles in the random geometric graph
نویسندگان
چکیده
منابع مشابه
Disjoint Hamilton cycles in the random geometric graph
We prove a conjecture of Penrose about the standard random geometric graph process, in which n vertices are placed at random on the unit square and edges are sequentially added in increasing order of lengths taken in the `p norm. We show that the first edge that makes the random geometric graph Hamiltonian is a.a.s. exactly the same one that gives 2-connectivity. We also extend this result to a...
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ژورنال
عنوان ژورنال: Journal of Graph Theory
سال: 2011
ISSN: 0364-9024
DOI: 10.1002/jgt.20560