3 citations · 8 across the 22 of their papers we have counts for
4 papers · 1 filter
On the maximal dimension of an irreducible representation of the symmetric group
Amol Aggarwal, Dor Elboim
We prove that the maximal dimension of an irreducible representation of the symmetric group satisfies $$d_N=\sqrt{N!} \, e^{-(\mathfrak{d}+o(1))\sqrt{N} }, \quad N\to \…
Climbing up a random subgraph of the hypercube
Michael Anastos, Sahar Diskin, Dor Elboim +1
Let be the -dimensional binary hypercube. We say that is an increasing path of length in , if for every the edge $v_iv_{i+1…
Heavy and Light Paths and Hamilton Cycles
Sahar Diskin, Dor Elboim
Given a graph , we denote by the number of paths of length in starting from . In graphs of maximum degree 3, with edge weights with ,…
Random necklaces require fewer cuts
Noga Alon, Dor Elboim, János Pach +1
It is known that any open necklace with beads of types in which the number of beads of each type is divisible by , can be partitioned by at most cuts into intervals…