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20182022
most citedLong running times for hypergraph bootstrap percolation

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math.CO20221 cited

Long running times for hypergraph bootstrap percolation

Alberto Espuny Díaz, Barnabás Janzer, Gal Kronenberg +1

Consider the hypergraph bootstrap percolation process in which, given a fixed -uniform hypergraph and starting with a given hypergraph , at each step we add to al…

math.CO2022

Independent sets in random subgraphs of the hypercube

Gal Kronenberg, Yinon Spinka

Let be the random subgraph of the -dimensional hypercube , where each edge is retained independently with probability . We study the asymptotic number of…

math.CO2019

Turán-type problems for long cycles in random and pseudo-random graphs

Michael Krivelevich, Gal Kronenberg, Adva Mond

We study the Turán number of long cycles in random graphs and in pseudo-random graphs. Denote by the random variable counting the number of edges in a largest subgra…

math.CO2019

The maximum length of -Bootstrap Percolation

József Balogh, Gal Kronenberg, Alexey Pokrovskiy +1

Graph-bootstrap percolation, also known as weak saturation, was introduced by Bollobás in 1968. In this process, we start with initial "infected" set of edges , and we infect…

math.CO2019

-games played on vertex sets of random graphs

Gal Kronenberg, Adva Mond, Alon Naor

We introduce a new type of positional games, played on a vertex set of a graph. Given a graph , two players claim vertices of , where the outcome of the game is determined by…

math.CO2018

Semi-random graph process

Omri Ben-Eliezer, Dan Hefetz, Gal Kronenberg +3

We introduce and study a novel semi-random multigraph process, described as follows. The process starts with an empty graph on vertices. In every round of the process, one vert…