activity
20102023
most citedAchlioptas process phase transitions are continuous

76 citations · 533 across the 32 of their papers we have counts for

collaborators

32 papers

math.CO2023★ 7 cited

Lagrange Inversion Formula by Induction

Erlang Surya, Lutz Warnke

We present a simple inductive proof of the Lagrange Inversion Formula.

math.CO2023★ 1 cited

Isomorphisms between dense random graphs

Erlang Surya, Lutz Warnke, Emily Zhu

We consider two variants of the induced subgraph isomorphism problem for two independent binomial random graphs with constant edge-probabilities p_1,p_2. In particular, (i) we prov…

math.CO2022★ 1 cited

The degree-restricted random process is far from uniform

Michael Molloy, Erlang Surya, Lutz Warnke

The degree-restricted random process is a natural algorithmic model for generating graphs with degree sequence D_n=(d_1, \ldots, d_n): starting with an empty n-vertex graph, it seq…

math.CO2021★ 1 cited

On the typical structure of graphs not containing a fixed vertex-critical subgraph

Oren Engelberg, Wojciech Samotij, Lutz Warnke

This work studies the typical structure of sparse -free graphs, that is, graphs that do not contain a subgraph isomorphic to a given graph . Extending the seminal result of O…

math.CO2021★ 3 cited

The jump of the clique chromatic number of random graphs

Lyuben Lichev, Dieter Mitsche, Lutz Warnke

The clique chromatic number of a graph is the smallest number of colors in a vertex coloring so that no maximal clique is monochromatic. In 2016 McDiarmid, Mitsche and Pralat noted…

math.CO2021★ 3 cited

On the power of random greedy algorithms

He Guo, Lutz Warnke

In this paper we solve two problems of Esperet, Kang and Thomasse as well as Li concerning (i) induced bipartite subgraphs in triangle-free graphs and (ii) van der Waerden numbers.…