1 research outputs found
Counting the Number of Minimum Roman Dominating Functions of a Graph
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