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Creators/Authors contains: "Petti, S"

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  1. ; (, Information processing letters)
    We consider the allocation problem in which $$m \leq (1-\epsilon) dn $$ items are to be allocated to $$n$$ bins with capacity $$d$$. The items $$x_1,x_2,\ldots,x_m$$ arrive sequentially and when item $$x_i$$ arrives it is given two possible bin locations $$p_i=h_1(x_i),q_i=h_2(x_i)$$ via hash functions $$h_1,h_2$$. We consider a random walk procedure for inserting items and show that the expected time insertion time is constant provided $$\epsilon = \Omega\left(\sqrt{ \frac{ \log d}{d}} \right).$$ 
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    Accepted Manuscript Full Text Available
  2. ; ; (, ANALCO)
    We analyze the cover time of a biased random walk on the random graph G_{n,p}$ The walk is biased towards visiting vertices of low degree and this makes the cover time less than in the unbiased case. 
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    Accepted Manuscript Full Text Available