منابع مشابه
On minimum cost edge searching
We consider the problem of finding edge search strategies of minimum cost. The cost of a search strategy is the sum of searchers used in the clearing steps of the search. One of the natural questions is whether it is possible to find a search strategy that minimizes both the cost and the number of searchers used to clear a given graph G. We call such a strategy ideal. We prove, by an example, t...
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In this paper, we propose several integer programming (IP) formulations to exactly solve the minimum-cost λ -edge-connected k-subgraph problem, or the (k,λ )-subgraph problem, based on its graph properties. Special cases of this problem include the well-known k-minimum spanning tree problem (if λ = 1), λ -edgeconnected spanning subgraph problem (if k = |V |) and k-clique problem (if λ = k−1 and...
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In this document we address some complications regarding the weighted edge-searching problem. This variant of edge-searching extends the original problem by considering situations where multiple searchers may be required to clear a single edge or guard a single vertex. We show that previous work on this topic overlooked a fundamental problem that arises from the addition of weights. As a conseq...
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................................................................................................................................. V List of Tables ............................................................................................................................. VII List of Figures ...........................................................................................................
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We consider connectivity-augmentation problems in a setting where each potential new edge has a nonnegative cost associated with it, and the task is to achieve a certain connectivity target with at most p new edges of minimum total cost. The main result is that the minimum cost augmentation of edge-connectivity from k − 1 to k with at most p new edges is fixed-parameter tractable parameterized ...
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ژورنال
عنوان ژورنال: Theoretical Computer Science
سال: 2013
ISSN: 0304-3975
DOI: 10.1016/j.tcs.2013.06.009