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Complexity Framework for Forbidden Subgraphs III: When Problems are Tractable on Subcubic Graphs (2023)
Conference Proceeding
Johnson, M., Martin, B., Pandey, S., Paulusma, D., Smith, S., & Van Leeuwen, E. J. (2023). Complexity Framework for Forbidden Subgraphs III: When Problems are Tractable on Subcubic Graphs. In 48th International Symposium on Mathematical Foundations of Computer Science (MFCS 2023) (57:1-57:15). https://doi.org/10.4230/LIPIcs.MFCS.2023.57

For any finite set H = {H1,. .. , Hp} of graphs, a graph is H-subgraph-free if it does not contain any of H1,. .. , Hp as a subgraph. In recent work, meta-classifications have been studied: these show that if graph problems satisfy certain prescribed... Read More about Complexity Framework for Forbidden Subgraphs III: When Problems are Tractable on Subcubic Graphs.

The Complexity of Matching Games: A Survey (2023)
Journal Article
Benedek, M., Biro, P., Johnson, M., Paulusma, D., & Ye, X. (2023). The Complexity of Matching Games: A Survey. Journal of Artificial Intelligence Research, 77, 459-485. https://doi.org/10.1613/jair.1.14281

Matching games naturally generalize assignment games, a well-known class of cooperative games. Interest in matching games has grown recently due to some breakthrough results and new applications. This state-of-the-art survey provides an overview of m... Read More about The Complexity of Matching Games: A Survey.

On the price of independence for vertex cover, feedback vertex set and odd cycle transversal (2018)
Presentation / Conference Contribution

Let vc(G), fvs(G) and oct(G) denote, respectively, the size of a minimum vertex cover, minimum feedback vertex set and minimum odd cycle transversal in a graph G. One can ask, when looking for these sets in a graph, how much bigger might they be if w... Read More about On the price of independence for vertex cover, feedback vertex set and odd cycle transversal.

A multi-level hypergraph partitioning algorithm using rough set clustering (2015)
Book Chapter
Lotfifar, F., & Johnson, M. (2015). A multi-level hypergraph partitioning algorithm using rough set clustering. In J. Träff, S. Hunold, & F. Versaci (Eds.), Euro-Par 2015 : parallel processing : 21st International Conference on Parallel and Distributed Computing, Vienna, Austria, August 24-28, 2015, Proceedings (159-170). Springer Verlag. https://doi.org/10.1007/978-3-662-48096-0_13

The hypergraph partitioning problem has many applications in scientific computing and provides a more accurate inter-processor communication model for distributed systems than the equivalent graph problem. In this paper, we propose a sequential multi... Read More about A multi-level hypergraph partitioning algorithm using rough set clustering.

Amalgamations of connected k-factorizations (2003)
Journal Article
Hilton, A., Johnson, M., Rodger, C., & Wantland, E. (2003). Amalgamations of connected k-factorizations. Journal of Combinatorial Theory, Series B, 88(2), 267-279. https://doi.org/10.1016/s0095-8956%2803%2900030-3

In this paper, necessary and sufficient conditions are found for a graph with exactly one amalgamated vertex to be the amalgamation of a k-factorization of Kkn+1 in which each k-factor is connected. From this result, necessary and sufficient conditio... Read More about Amalgamations of connected k-factorizations.