64 citations · 171 across the 34 of their papers we have counts for
5 papers · 1 filter
The typical structure of sparse -free graphs
József Balogh, Robert Morris, Wojciech Samotij +1
Two central topics of study in combinatorics are the so-called evolution of random graphs, introduced by the seminal work of Erdős and Rényi, and the family of -free graphs, tha…
Smoothed analysis on connected graphs
Michael Krivelevich, Daniel Reichman, Wojciech Samotij
The main paradigm of smoothed analysis on graphs suggests that for any large graph in a certain class of graphs, perturbing slightly the edges of at random (usually adding…
Grounded Lipschitz functions on trees are typically flat
Ron Peled, Wojciech Samotij, Amir Yehudayoff
A grounded M-Lipschitz function on a rooted d-ary tree is an integer-valued map on the vertices that changes by at most along edges and attains the value zero on the leaves. We stu…
On the KŁR conjecture in random graphs
D. Conlon, W. T. Gowers, W. Samotij +1
The KŁR conjecture of Kohayakawa, Łuczak, and Rödl is a statement that allows one to prove that asymptotically almost surely all subgraphs of the random graph G_{n,p}, for sufficie…
Long paths and cycles in random subgraphs of H-free graphs
Michael Krivelevich, Wojciech Samotij
Let be a given finite (possibly empty) family of connected graphs, each containing a cycle, and let be an arbitrary finite -free graph with minimum d…