11 citations · 32 across the 20 of their papers we have counts for
6 papers · 1 filter
The chromatic discrepancy of graphs
N. R. Aravind, Subrahmanyam Kalyanasundaram, R. B. Sandeep +1
For a proper vertex coloring of a graph , let denote the maximum, over all induced subgraphs of , the difference between the chromatic number and the…
Boxicity of Line Graphs
L. Sunil Chandran, Rogers Mathew, Naveen Sivadasan
Boxicity of a graph H, denoted by box(H), is the minimum integer k such that H is an intersection graph of axis-parallel k-dimensional boxes in R^k. In this paper, we show that for…
Lower Bounds for Boxicity
Abhijin Adiga, L. Sunil Chandran, Naveen Sivadasan
An axis-parallel -dimensional box is a Cartesian product where is a closed interval of the form on the real line. For a grap…
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 …
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…
Boxicity and Treewidth
L. Sunil Chandran, Naveen Sivadasan
In this paper, we relate the seemingly unrelated concepts of treewidth and boxicity. Our main result is that, for any graph G, boxicity(G) <= treewidth(G) + 2. We also show that th…