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math.CO2022
Routing permutations on spectral expanders via matchings
Rajko Nenadov
We consider the following matching-based routing problem. Initially, each vertex of a connected graph is occupied by a pebble which has a unique destination . In each…
math.CO2022
Probabilistic intuition holds for a class of small subgraph games
Rajko Nenadov
Consider the following two-player game on the edges of , the complete graph with vertices: Starting with an empty graph on the vertex set of , in each round the f…
math.CO2022
On the size-Ramsey number of grids
David Conlon, Rajko Nenadov, Miloš Trujić
We show that the size-Ramsey number of the grid graph is , improving a previous bound of by Clemens, Miralaei, Reding, Schac…