By Zsuzsanna Lipták, William F. Smyth

This ebook constitutes the completely refereed post-workshop complaints for the 26 overseas Workshop on combinatorial Algorithms, IWOCA 2015, held in Verona, Italy, in October 2015.

The 29 revised complete papers awarded have been conscientiously reviewed and chosen from a complete of ninety submissions. the subjects of the papers comprise algorithms and information buildings (including sequential, parallel, dispensed, approximation, probabilistic, randomised, and online algorithms), algorithms on strings and graphs; functions (bioinformatics, track research, networking, and others); combinatorics on phrases; combinatorial enumeration; combinatorial optimization; complexity idea; computational biology; compression and knowledge retrieval; cryptography and data safeguard; decompositions and combinatorial designs; discrete and computational geometry; graph drawing and labeling; graph theory.

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Extra info for Combinatorial Algorithms: 26th International Workshop, IWOCA 2015, Verona, Italy, October 5-7, 2015, Revised Selected Papers

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If ε = +∞, then there are no triangle-free 2-matchings in G. If ε is finite, then it is positive and 2ε is integer. t. π and x. Moreover, the choice of ε ensures that after the update at least of the following applies: either there exists a triangle T in cl(v) for some odd vertex v such that π(T ) = 0 holds after the update, or there exists a new valid edge, which can be used to grow F further. 152–153, Sect. 4]) We perform a sequence of Grow steps until F becomes maximal again or an x-augmenting path is found.

Hereinafter, if not stated otherwise, all 2-matchings are assumed to be basic. 2 Triangle Clusters A set of three pairwise-adjacent edges {{u, v} , {v, w} , {w, u}} ⊆ E(G) (for some distinct u, v, w ∈ V (G)) will be called a triangle. By a triangle cluster we mean a connected graph whose edges partition into disjoint triangles such that any two triangles have at most one node in common, and if such a node exists, then it is an articulation point of the cluster. For triangle-free 2-matchings, triangle clusters play the role analogous to that of factor-critical subgraphs for 1-matchings (cf.

The objective of activation network problems is to find activation values xv ∈ D for all v ∈ V such that the total activation cost v∈V xv is minimized and the activated set of edges satisfies some connectivity requirements. Activation problems generalize several problems studied in the network literature such as power optimization, minimum broadcast tree and installation cost optimization. Several activation problems have been studied for arbitrary graphs in the recent research literature. Unfortunately, many of these problems are computationally hard.

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