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math.PR2012
On a property of random-oriented percolation in a quadrant
Dmitry Zhelezov
Grimmett's random-orientation percolation is formulated as follows. The square lattice is used to generate an oriented graph such that each edge is oriented rightwards (resp. upwar…
math.GR2012★ 1 cited
Can connected commuting graphs of finite groups have arbitrarily large diameter ?
Peter Hegarty, Dmitry Zhelezov
We present a family of finite, non-abelian groups and propose that there are members of this family whose commuting graphs are connected and of arbitrarily large diameter. If true,…