摘要
The (maximum receiver-centric) interference of a geometric graph (von Rickenbach et al. 2005 [11]) is studied. It is shown that, with high probability, the following results hold for a set, V, of n points independently and uniformly distributed in the unit d-cube, for constant dimension d: (1) there exists a connected graph with vertex set V that has interference O((logn)(1/3)); (2) no connected graph with vertex set V has interference o((logn)(1/4)); and (3) the minimum spanning tree of V has interference Theta((logn)(1/2)).
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单位McGill