Abstract
We present an analytical and empirical study of the maximal and average numbers of stable extensions in abstract argumentation frameworks. As one of the analytical main results, we prove a tight upper bound on the maximal number of stable extensions that depends only on the number of arguments in the framework. More interestingly, our empirical results indicate that the distribution of stable extensions as a function of the number of attacks in the framework seems to follow a universal pattern that is independent of the number of arguments.
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Baumann, R., Strass, H. (2014). On the Maximal and Average Numbers of Stable Extensions. In: Black, E., Modgil, S., Oren, N. (eds) Theory and Applications of Formal Argumentation. TAFA 2013. Lecture Notes in Computer Science(), vol 8306. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-54373-9_8
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DOI: https://doi.org/10.1007/978-3-642-54373-9_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-54372-2
Online ISBN: 978-3-642-54373-9
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