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Durham University

Computer Science


Publication details for Professor Matthew Johnson

Feghali, C. Johnson, M., Paesani, G. & Paulusma, D. (2019), On cycle transversals and their connected variants in the absence of a small linear forest, in Gąsieniec, Leszek Antoni Jansson, Jesper & Levcopoulos, Christos eds, Lecture Notes in Computer Science 11651: FCT 2019. Copenhagen, Denmark, Springer, Cham, 258-273.

Author(s) from Durham


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 for (sP1+P3) -free graphs for every integer s≥1 . We show the same result for the variants Connected Feedback Vertex Set and Connected Odd Cycle Transversal. For the latter two problems we also prove that they are polynomial-time solvable for cographs; this was known already for Feedback Vertex Set and Odd Cycle Transversal.