TY - JOUR TI - On the weightedk-path vertex cover on interval graphs AU - Zygadło, Jakub TI - On the weightedk-path vertex cover on interval graphs AB - We consider a version of the k-path vertex cover problem that asks for the minimum weight subset C of vertices of a graph G such that every path on k vertices in G has at least one vertex in common with C. We present two dynamic algorithms solving this problem on interval graphs. The first one works on general interval graphs but is in practice limited to small values of k. The second algorithm computes minimum weight vertex cover for arbitrary k on proper interval graph G = (V,E) in time O(|V|^2|E|). VL - First View 2020 IS - Volume 29 PY - 2020 SN - 1732-3916 C1 - 2083-8476 SP - 9 EP - 21 DO - 10.4467/20838476SI.20.001.14380 UR - https://ejournals.eu/en/journal/schedae-informaticae/article/on-the-weightedk-path-vertex-cover-on-interval-graphs KW - k-path vertex cover KW - interval graph KW - weighted graph KW - dynamic programming