Extended MSO Model Checking via Small Vertex Integrity
Algorithmica, ISSN: 1432-0541, Vol: 86, Issue: 1, Page: 147-170
2024
- 6Citations
- 3Captures
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Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
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Article Description
We study the model checking problem of an extended MSO with local and global cardinality constraints, called MSOLinGL , introduced recently by Knop et al. (Log Methods Comput Sci, 15(4), 2019. https://doi.org/10.23638/LMCS-15(4:12)2019). We show that the problem is fixed-parameter tractable parameterized by vertex integrity, where vertex integrity is a graph parameter standing between vertex cover number and treedepth. Our result thus narrows the gap between the fixed-parameter tractability parameterized by vertex cover number and the W[1]-hardness parameterized by treedepth.
Bibliographic Details
Springer Science and Business Media LLC
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