196 citations · 319 across the 19 of their papers we have counts for
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math.CO2010★ 27 cited
The capture time of grids
Abbas Mehrabian
We consider the game of Cops and Robber played on the Cartesian product of two trees. Assuming the players play perfectly, it is shown that if there are two cops in the game, then…
math.CO2010★ 14 cited
Lower Bounds for the Cop Number When the Robber is Fast
Abbas Mehrabian
We consider a variant of the Cops and Robbers game where the robber can move t edges at a time, and show that in this variant, the cop number of a d-regular graph with girth larger…