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arXiv · 1403.1019

Counting the Number of Minimum Roman Dominating Functions of a Graph

Zheng Shi·Khee Meng Koh
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Abstract

We provide two algorithms counting the number of minimum Roman dominating functions of a graph on n vertices in O(1.5673^n) time and polynomial space. We also show that the time complexity can be reduced to O(1.5014^n) if exponential space is used. Our result is obtained by transforming the Roman domination problem into other combinatorial problems on graphs for which exact algorithms already exist.

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Zheng Shi, Khee Meng Koh. 2014-03-10. Counting the Number of Minimum Roman Dominating Functions of a Graph. https://arxiv.org/abs/1403.1019

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