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arXiv · 1604.06452

Weighted domination number of cactus graphs

Tina Novak·Janez Zerovnik
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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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Tina Novak, Janez Zerovnik. 2016-04-21. Weighted domination number of cactus graphs. https://arxiv.org/abs/1604.06452

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