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Maximum independent, minimally redundant sets in series-parallel graphs. (English) Zbl 0794.05124
Let $$G$$ be a graph. The authors introduce a new graph invariant, $$\text{BIT}(G)$$, the minimum total redundance of a maximum independent set. The invariant is defined to be the minimum value of $$\Sigma(1+\deg(v))$$, $$v\in W$$, over all maximum independent sets $$W$$ of $$G$$. They show that the problem whether $$\text{BIT}(G)> k$$ is NP-hard.

##### MSC:
 05C99 Graph theory
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##### References:
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