On Cycle Transversals and Their Connected Variants in the Absence of a Small Linear Forest

Dabrowski, K.K.; Feghali, C.; Johnson, M.; Paesani, G.; Paulusma, D.; Rzążewski, P.

doi:10.1007/s00453-020-00706-6

All Outputs (6)

Steiner trees for hereditary graph classes (2020)
Presentation / Conference Contribution
Bodlaender, H., Brettell, N., Johnson, M., Paesani, G., Paulusma, D., & van Leeuwen, E. J. (2020, May). Steiner trees for hereditary graph classes. Presented at LATIN 2020, São Paulo

We consider the classical problems (Edge) Steiner Tree and Vertex Steiner Tree after restricting the input to some class of graphs characterized by a small set of forbidden induced subgraphs. We show a dichotomy for the former problem restricted to (... Read More about Steiner trees for hereditary graph classes.

Computing subset transversals in H-free graphs (2020)
Presentation / Conference Contribution
Brettell, N., Johnson, M., Paesani, G., & Paulusma, D. (2020, December). Computing subset transversals in H-free graphs. Presented at WG 2020, Leeds, England

We study the computational complexity of two well-known graph transversal problems, namely Subset Feedback Vertex Set and Subset Odd Cycle Transversal, by restricting the input to H-free graphs, that is, to graphs that do not contain some fixed graph... Read More about Computing subset transversals in H-free graphs.

‘A Fighting Man to Fight for You’: The Armed Forces, Ex-Servicemen, and British Electoral Politics in the Aftermath of Two World Wars (2020)
Book Chapter
Johnson, M. (2020). ‘A Fighting Man to Fight for You’: The Armed Forces, Ex-Servicemen, and British Electoral Politics in the Aftermath of Two World Wars. In D. Thackeray, & R. Toye (Eds.), Electoral Pledges in Britain since 1918: The Politics of Promises (71-93). Palgrave Macmillan. https://doi.org/10.1007/978-3-030-46663-3

Graph isomorphism for (H1,H2)-free graphs: an almost complete dichotomy (2020)
Journal Article
Bonamy, M., Bousquet, N., Dabrowski, K., Johnson, M., Paulusma, D., & Pierron, T. (2021). Graph isomorphism for (H1,H2)-free graphs: an almost complete dichotomy. Algorithmica, 83(3), 822-852. https://doi.org/10.1007/s00453-020-00747-x

We resolve the computational complexity of GRAPH ISOMORPHISM for classes of graphs characterized by two forbidden induced subgraphs H_{1} and H_2 for all but six pairs (H_1,H_2). Schweitzer had previously shown that the number of open cases was finit... Read More about Graph isomorphism for (H1,H2)-free graphs: an almost complete dichotomy.

Clique-width for graph classes closed under complementation (2020)
Journal Article
Blanché, A., Dabrowski, K., Johnson, M., Lozin, V., Paulusma, D., & Zamaraev, V. (2020). Clique-width for graph classes closed under complementation. SIAM Journal on Discrete Mathematics, 34(2), 1107-1147. https://doi.org/10.1137/18m1235016

Clique-width is an important graph parameter due to its algorithmic and structural properties. A graph class is hereditary if it can be characterized by a (not necessarily finite) set H of forbidden induced subgraphs. We study the boundedness of cliq... Read More about Clique-width for graph classes closed under complementation.

On Cycle Transversals and Their Connected Variants in the Absence of a Small Linear Forest (2020)
Journal Article
Dabrowski, K., Feghali, C., Johnson, M., Paesani, G., Paulusma, D., & Rzążewski, P. (2020). On Cycle Transversals and Their Connected Variants in the Absence of a Small Linear Forest. Algorithmica, 82(10), 2841-2866. https://doi.org/10.1007/s00453-020-00706-6

A graph is H-free if it contains no induced subgraph isomorphic to H. We prove new complexity results for the two classical cycle transversal problems FEEDBACK VERTEX SET and ODD CYCLE TRANSVERSAL by showing that they can be solved in polynomial time... Read More about On Cycle Transversals and Their Connected Variants in the Absence of a Small Linear Forest.