@inproceedings{5c2383a0f2dc465289fdacfdc5e08f79,
title = "Certifying Solvers for Clique and Maximum Common (Connected) Subgraph Problems",
abstract = "An algorithm is said to be certifying if it outputs, together with a solution to the problem it solves, a proof that this solution is correct. We explain how state of the art maximum clique, maximum weighted clique, maximal clique enumeration and maximum common (connected) induced subgraph algorithms can be turned into certifying solvers by using pseudo-Boolean models and cutting planes proofs, and demonstrate that this approach can also handle reductions between problems. The generality of our results suggests that this method is ready for widespread adoption in solvers for combinatorial graph problems.",
author = "Stephan Gocht and Ross McBride and Ciaran McCreesh and Jakob Nordstr{\"o}m and Patrick Prosser and James Trimble",
year = "2020",
doi = "10.1007/978-3-030-58475-7_20",
language = "English",
isbn = "9783030584740",
series = "Lecture Notes in Computer Science",
publisher = "Springer",
pages = "338--357",
editor = "Helmut Simonis",
booktitle = "Principles and Practice of Constraint Programming - 26th International Conference, CP 2020, Proceedings",
address = "Germany",
note = "26th International Conference on Principles and Practice of Constraint Programming, CP 2020 ; Conference date: 07-09-2020 Through 11-09-2020",
}