Outputs (3)

Complexity Framework for Forbidden Subgraphs III: When Problems are Tractable on Subcubic Graphs (2023)
Presentation / Conference Contribution
Johnson, M., Martin, B., Pandey, S., Paulusma, D., Smith, S., & Van Leeuwen, E. J. (2023, August). Complexity Framework for Forbidden Subgraphs III: When Problems are Tractable on Subcubic Graphs. Presented at 48th International Symposium on Mathematical Foundations of Computer Science (MFCS 2023), Bordeaux, France

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 L(p, q)-Edge-Labelling (2023)
Journal Article
Berthe, G., Martin, B., Paulusma, D., & Smith, S. (2023). The Complexity of L(p, q)-Edge-Labelling. Algorithmica, 85(11), 3406-3429. https://doi.org/10.1007/s00453-023-01120-4

The L(p, q)-EDGE-LABELLING problem is the edge variant of the well-known L(p, q)-LABELLING problem. It is equivalent to the L(p, q)-LABELLING problem itself if we restrict the input of the latter problem to line graphs. So far, the complexity of L(p,... Read More about The Complexity of L(p, q)-Edge-Labelling.

Induced Disjoint Paths and Connected Subgraphs for H-Free Graphs (2023)
Journal Article
Martin, B., Paulusma, D., Smith, S., & van Leeuwen, E. J. (2023). Induced Disjoint Paths and Connected Subgraphs for H-Free Graphs. Algorithmica, 85, 2580–2604. https://doi.org/10.1007/s00453-023-01109-z

Paths P1,…,Pk in a graph G=(V,E) are mutually induced if any two distinct Pi and Pj have neither common vertices nor adjacent vertices. The INDUCED DISJOINT PATHS problem is to decide if a graph G with k pairs of specified vertices (si,ti) contains k... Read More about Induced Disjoint Paths and Connected Subgraphs for H-Free Graphs.