Weighted domination number of cactus graphs

April 21, 2016 Β· Declared Dead Β· πŸ› arXiv.org

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Authors Tina Novak, Janez Zerovnik arXiv ID 1604.06452 Category cs.DS: Data Structures & Algorithms Cross-listed math.CO Citations 5 Venue arXiv.org Last Checked 4 months ago
Abstract
In the paper, we write a linear algorithm for calculating the weighted domination number of a vertex-weighted cactus. The algorithm is based on the well known depth first search (DFS) structure. Our algorithm needs less than $12n+5b$ additions and $9n+2b$ $\min$-operations where $n$ is the number of vertices and $b$ is the number of blocks in the cactus.
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