By Qianping Gu, Pavol Hell, Boting Yang
This quantity constitutes the lawsuits of the overseas convention on Algorithmic elements in details and administration, AAIM 2014, held in Vancouver, BC, Canada, in July 2014.
The 30 revised complete papers provided including 2 invited talks have been conscientiously reviewed and chosen from forty five submissions. the subjects hide so much parts in discrete algorithms and their applications.
Read or Download Algorithmic Aspects in Information and Management: 10th International Conference, AAIM 2014, Vancouver, BC, Canada, July 8-11, 2014. Proceedings PDF
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Not long after,  and  independently improved the algorithm to O(n log n). Recently,  proposed an O(n2 log2 n) algorithm for the corresponding problem on the tree networks. And  extended 1-sink location problem on the path networks to 2-sink problem and proposed an O(n3 log n) algorithm. In this paper, we extend the problem on the path networks to more general case where there are k sinks to be assigned on the road line, and propose an O(n2 (log n)1+log k Cnk−1 ) algorithm based on .
Sk , respectively, j−1 j and s1 ≥ Δ1 , s1 +s2 ≥ Δ2 , . . , k=1 sk ≥ Δj−1 , and k=1 sk < Δj , the market crashes immediately at price pj . Note that in such case, the seller has sold at most Δj − Δj−1 unit of product at pj , and since pj is much larger than all previous prices, we would be able to show that the total revenue obtained by the seller will be dominated by the last transaction and is O((Δj − Δj−1 )pj ). On the other hand, an oﬄine algorithm can sell the whole unit of product at pj and gets the maximum revenue pj .
If the answer is negative, return NO. Otherwise, delete these two substrings and store them in Q (with location information), delete the blocks corresponding to the vertices of H, update S and continue with another connected component of GB . 2 If B = S = ∅, then return YES and retrieve the partition Q. Theorem 2. There is an O(n2 ) time algorithm which decides 2-EBC. Proof. The correctness of Algorithm EBC-2 can be seen from Lemma 1. As for the running time of Algorithm EBC-2, the dominating part is on Step 5, where we could 18 H.
Algorithmic Aspects in Information and Management: 10th International Conference, AAIM 2014, Vancouver, BC, Canada, July 8-11, 2014. Proceedings by Qianping Gu, Pavol Hell, Boting Yang