3 papers
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…