• The directed 2-linkage problem with length constraints 

      Bang-Jensen, J.; Bellitto, Thomas; Lochet, William; Yeo, A. (Journal article; Peer reviewed, 2020)
    • Exact and approximate digraph bandwidth 

      Jain, Pallavi; Kanesh, Lawqueen; Lochet, William; Saurabh, Saket; Sharma, Roohani (Journal article; Peer reviewed, 2019)
      In this paper, we introduce a directed variant of the classical Bandwidth problem and study it from the view-point of moderately exponential time algorithms, both exactly and approximately. Motivated by the definitions of ...
    • Fault tolerant subgraphs with applications in kernelization 

      Lochet, William; Lokshtanov, Daniel; Misra, Pranabendu; Saurabh, Saket; Sharma, Roohani; Zehavi, Meirav (Journal article; Peer reviewed, 2020)
      In the past decade, the design of fault tolerant data structures for networks has become a central topic of research. Particular attention has been given to the construction of a subgraph H of a given digraph D with as ...
    • Parameterized Complexity of Directed Spanner Problems 

      Fomin, Fedor; Golovach, Petr; Lochet, William; Misra, Pranabendu; Saurabh, Saket; Sharma, Roohani (Journal article; Peer reviewed, 2020)
      We initiate the parameterized complexity study of minimum t-spanner problems on directed graphs. For a positive integer t, a multiplicative t-spanner of a (directed) graph G is a spanning subgraph H such that the distance ...
    • A Polynomial Kernel for Line Graph Deletion 

      Lochet, William; Eiben, Eduard (Journal article; Peer reviewed, 2020)
      The line graph of a graph G is the graph L(G) whose vertex set is the edge set of G and there is an edge between e,f ∈ E(G) if e and f share an endpoint in G. A graph is called line graph if it is a line graph of some ...
    • A Polynomial Kernel for Paw-Free Editing 

      Eiben, Eduard; Lochet, William; Saurabh, Saket (Journal article; Peer reviewed, 2020)
      For a fixed graph H, the H-free Edge Editing problem asks whether we can modify a given graph G by adding or deleting at most k edges such that the resulting graph does not contain H as an induced subgraph. The problem is ...
    • Subdivisions in digraphs of large out-degree or large dichromatic number 

      Aboulker, Pierre; Cohen, Nathann; Havet, Frederic; Lochet, William; Moura, Phablo F S; Thomasse, Stephan (Journal article; Peer reviewed, 2019)
      In 1985, Mader conjectured the existence of a function f such that every digraph with minimum out-degree at least f ( k ) contains a subdivision of the transitive tournament of order k . This conjecture is still completely ...