11 citations · 32 across the 20 of their papers we have counts for
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Boxicity and Maximum degree
L. Sunil Chandran, Mathew C. Francis, Naveen Sivadasan
An axis-parallel --dimensional box is a Cartesian product where (for ) is a closed interval of the form …
Representing graphs as the intersection of axis-parallel cubes
L. Sunil Chandran, Mathew C. Francis, Naveen Sivadasan
A unit cube in dimensional space (or \emph{-cube} in short) is defined as the Cartesian product where (for ) is a clos…
On the Boxicity and Cubicity of Hypercubes
L. Sunil Chandran, Naveen Sivadasan
For a graph , its \emph{cubicity} is the minimum dimension such that is representable as the intersection graph of (axis--parallel) cubes in --dimensional sp…
Geometric representation of graphs in low dimension
L. Sunil Chandran, Mathew C Francis, Naveen Sivadasan
We give an efficient randomized algorithm to construct a box representation of any graph G on n vertices in dimensions, where is the maximum degree of G. We…