By Thang N. Dinh, My T. Thai
This ebook constitutes the refereed court cases of the twenty second foreign convention on Computing and Combinatorics, COCOON 2016, held in Ho Chi Minh urban, Vietnam, in August 2016. The 50 revised complete papers papers provided during this ebook have been conscientiously reviewed and chosen from quite a few submissions. The papers conceal a variety of issues together with: thought and Algorithms; Parameterized Complexity and Algorithms; Database and knowledge constructions; Computational Complexity; Approximation Algorithms; Cryptography; community and Algorithms; Graph thought and Algorithms; Computational Geometry; Scheduling Algorithms and Circuit Complexity; Computational Geometry and Computational Biology; and common sense, Algebra and Automata.
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Freely to be had resource code, with contributions from millions of programmers worldwide: this can be the spirit of the software program revolution referred to as Open resource. Open resource has grabbed the pc industry's recognition. Netscape has opened the resource code to Mozilla; IBM helps Apache; significant database proprietors haved ported their items to Linux. As organisations become aware of the ability of the open-source improvement version, Open resource is turning into a manageable mainstream substitute to advertisement software.
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For the 1st time in print, this ebook offers the tale of the open- resource phenomenon advised by way of the folk who created this movement.
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Extra resources for Computing and Combinatorics : 22nd International Conference, COCOON 2016, Ho Chi Minh City, Vietnam, August 2-4, 2016, Proceedings
LNCS, vol. 9347, pp. 219–230. Springer, Heidelberg (2015). 1007/978-3-662-48433-3 17 4. : Eﬃcient graph topologies in network routing games. Games Econ. Behav. 66(1), 115–125 (2009) 5. : Strong equilibrium in congestion games. Games Econ. Behav 21(1–2), 85–101 (1997) 6. : Network structure and strong equilibrium in route selection games. Math. Soc. Sci. 46(2), 193–205 (2003) 7. : Strong equilibrium in network congestion games: increasing versus decreasing costs. Int. J. Game Theory 44, 647–666 (2014) 8.
Ii) ⇒ (iii): By contradiction, take G = (V, E) to be a counterexample with a minimum number m of arcs. Clearly m ≥ 2. The minimality of G says that G is a two-terminal network, which is therefore not extension-parallel. By Lemma 3, condition (ii) implies that G is two-terminal series-parallel. Since m ≥ 2, by Deﬁnition 4, there exist two smaller two-terminal series-parallel digraphs H1 and H2 whose connection in series or in parallel gives G. It follows from the minimality of G that both H1 and H2 are extension-parallel.
1 is a terminal-reduced topological minor of G, and (ii) the maximal two-terminal network embedded in G has linearly independent routes. We observe that in any graph with origin-destination pair (s, t), the presence of any Fi , i ∈  as a terminal-reduced topological minor implies the presence of F1 as an (s, t)-minor, and vice versa. t. single commodity if and only if it does not contain F1 as a minor. Theorem 2 . Let G be a graph and (G, (s, t)) be a single commodity network embedded in G.