Computing and Combinatorics: 17th Annual International by Kazuhisa Makino, Suguru Tamaki, Masaki Yamamoto (auth.), Bin

By Kazuhisa Makino, Suguru Tamaki, Masaki Yamamoto (auth.), Bin Fu, Ding-Zhu Du (eds.)

This booklet constitutes the refereed lawsuits of the sixteenth Annual overseas convention on Computing and Combinatorics, held in Dallas, TX, united states, in August 2011. The fifty four revised complete papers awarded have been conscientiously reviewed and chosen from 136 submissions. themes lined are algorithms and information constructions; algorithmic video game concept and on-line algorithms; automata, languages, good judgment, and computability; combinatorics concerning algorithms and complexity; complexity thought; computational studying idea and data discovery; cryptography, reliability and safety, and database thought; computational biology and bioinformatics; computational algebra, geometry, and quantity thought; graph drawing and knowledge visualization; graph idea, verbal exchange networks, and optimization; parallel and allotted computing.

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Example text

I}}. Let D be a dominating set of Gi,j . Let X = D ∩ U and Y = D ∩ V . Then, it must hold that au,j ∈ D for all u ∈ U \ X, j ∈ {1, . . , j}, and bv,j ∈ D for all v ∈ V \ Y, j ∈ {1, . . , j}. For an edge e = {u, v} ∈ E such that u ∈ X or v ∈ Y , at least one of pei and qie should belong to D for every i ∈ {1, . . , i}. Therefore, for fixed X ⊆ U and Y ⊆ V , the number of dominating sets D such that X = D ∩ U and Y = D ∩ V is equal to 2j|X| · 2j|Y | · 22i {u,v}∈E, u∈X,v∈Y 3i = 2j(|X|+|Y |) · 3i|E| · {u,v}∈E, u∈X or v∈Y 4 3 i·e(X,Y ) , where e(X, Y ) = |{{u, v} ∈ E | u ∈ X, v ∈ Y }|.

Annals of Operations Research 154, 29–50 (2007) 4. : An optimal algorithm for the maximum-density segment problem. SIAM J. Comput. 34(2), 373–387 (2005) 5. : Subgraph isomorphism in planar graphs and related problems. In: Proc. 6th Ann. ACM-SIAM Sympos. Disc. , pp. 632–640. SIAM, Philadelphia (1995) 6. : Linear-time algorithms for computing maximum-density sequence segments with bioinformatics applications. J. Comput. Syst. Sci. 70(2), 128–144 (2005) 7. : Finding a maximum-density path in a tree under the weight and length constraints.

S(n + 1, j) in an ordered binary tree T . The tree T has height O(log n), with a root r, and with n + 1 leaves corresponding to the intervals I1 , . . , In+1 : We name the leaves 1, . . , n + 1 and the leaf i corresponds to the interval Ii . The structure of T does not change through computation, but only the values carried by nodes change. To represent s(i, j), every node v ∈ T carries two values wj (v) and cj (v) satisfying the following three conditions; wj (v) = cj (v) · (wj (u1 ) + wj (u2 )) for every inner node v, (1) s(i, j) = w (i) · (2) c (u) for every leaf i ∈ {1, .

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