Download Computing and Combinatorics : 22nd International Conference, by Thang N. Dinh, My T. Thai PDF

By Thang N. Dinh, My T. Thai

This ebook constitutes the refereed lawsuits of the twenty second overseas convention on Computing and Combinatorics, COCOON 2016, held in Ho Chi Minh urban, Vietnam, in August 2016. The 50 revised complete papers papers awarded during this e-book have been rigorously reviewed and chosen from quite a few submissions. The papers disguise a number of issues together with: concept and Algorithms; Parameterized Complexity and Algorithms; Database and information constructions; Computational Complexity; Approximation Algorithms; Cryptography; community and Algorithms; Graph idea and Algorithms; Computational Geometry; Scheduling Algorithms and Circuit Complexity; Computational Geometry and Computational Biology; and good judgment, Algebra and Automata.

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Example text

Theorem 1. t. single commodity if and only if every maximal two-terminal network embedded in G is extension-parallel. 1 Undirected Networks In this subsection, we formally state Milchtaich’s result [8] on single-commodity networks where the origin and destination are fixed. The result implies a forbidden minor characterization for WPO graphs straightforwardly. Our efforts are devoted to transferring the forbidden minor description to a constructive one (Theorem 3) which gives the explicit global graphical structures.

T). It has been known that an (s, t)-terminal undirected network is (s, t)extension-parallel if and only if it has linearly independent s-t routes (see Proposition 5 of [8]). In view of the 1–1 correspondence between the sets of s-t paths of an (s, t)-extension-parallel directed network and its underlying undirected network, we have the following equivalent definition for extension-parallel (un)directed networks, where a graph is considered as the underlying graph of itself. Definition 3 [6,8]. A two-terminal network is extension-parallel if its underlying undirected network has linearly independent routes.

2 Recall that in this section wib = wi . 4 23 Positive Results: Parallel Machines with Preventive Preemption It is well known that the Shortest Processing Time (SPT) algorithm computes an optimal solution for the problem of minimizing the sum of completion times on identical parallel machines [21]. Based on that, we can apply SPT with preventive preemption (SPT-PP) on identical parallel machines and obtain a polynomialtime optimal and truthful algorithm for the parallel machines case where the social welfare is the minimization of the sum of completion times.

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