43 citations · 235 across the 46 of their papers we have counts for
8 papers · 1 filter
Better 3-coloring algorithms: excluding a triangle and a seven vertex path
Flavia Bonomo-Braberman, Maria Chudnovsky, Jan Goedgebeur +4
We present an algorithm to color a graph with no triangle and no induced -vertex path (i.e., a -free graph), where every vertex is assigned a list of possible c…
The approximate Loebl-Komlós-Sós Conjecture II: The rough structure of LKS graphs
Jan Hladký, János Komlós, Diana Piguet +3
This is the second of a series of four papers in which we prove the following relaxation of the Loebl-Komlos--Sos Conjecture: For every there exists a number such that…
The approximate Loebl-Komlós-Sós Conjecture IV: Embedding techniques and the proof of the main result
Jan Hladký, János Komlós, Diana Piguet +3
This is the last paper of a series of four papers in which we prove the following relaxation of the Loebl-Komlos-Sos Conjecture: For every there exists a number~ such th…
The Approximate Loebl-Komlós-Sós Conjecture III: The finer structure of LKS graphs
Jan Hladký, János Komlós, Diana Piguet +3
This is the third of a series of four papers in which we prove the following relaxation of the Loebl-Komlos-Sos Conjecture: For every there exists a number such that fo…
The approximate Loebl-Komlós-Sós Conjecture I: The sparse decomposition
Jan Hladký, János Komlós, Diana Piguet +3
In a series of four papers we prove the following relaxation of the Loebl-Komlos-Sos Conjecture: For every there exists a number such that for every every -v…
Partitioning two-coloured complete multipartite graphs into monochromatic paths and cycles
Oliver Schaudt, Maya Stein
We show that any complete -partite graph on vertices, with , whose edges are two-coloured, can be covered with two vertex-disjoint monochromatic paths of distin…