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There are many interesting questions one can ask about a highly symmetric graph. A graph with a transitive automorphism group can be obtained starting with a group G and a small set S of generators....
We prove a normalized version of the restricted invertibility principle obtained by Spielman-Srivastava. Applying this result, we get a new proof of the proportional Dvoretzky-Rogers factorization the...
Abstract: A $Z$-set in a metric space $X$ is a closed subset $K$ of $X$ such that each map of the Hilbert cube $Q$ into $X$ can uniformly be approximated by maps of $Q$ into $X \setminus K$. The aim o...
We show that integrable involutive maps, due to the fact they admit three integrals in separated form, can give rise to equations which are consistent around the cube and which are not in the multiaf...
We prove that a random group has fixed points when it isometrically acts on a CAT(0) cube complex. We do not assume that the action is simplicial.
For a knot K the cube number is a knot invariant de ned to be the smallest n for which there is a cube diagram of size n for K.
A general method for obtaining a trigonometric-type interpolating equation for the eight-point cubical array is illustrated. It can often be used to reproduce a ninth datum at an arbitrary point near ...
The symmetric group S3 acts on S 2 × S 2 × S 2 by coordinate permutation, and the quotient space (S 2×S 2×S 2)/S3 is homeomorphic to the complex projective space CP 3.In this paper.
A 2-coloring of the n-cube in the n-dimensional Euclidean space can be considered as an assignment of weights of 1 or 0 to the vertices. Such a colored n-cube is said to be balanced if its center of m...

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