Article ID Journal Published Year Pages File Type
434846 Theoretical Computer Science 2012 12 Pages PDF
Abstract

We investigate a coloring problem, called ordered coloring, in grids and some other families of grid-like graphs. Ordered coloring (also known as vertex ranking) has applications, among other areas, in efficient solving of sparse linear systems of equations and scheduling parallel assembly of products. Our main technical results improve upper and lower bounds for the ordered chromatic number of grids and related graphs.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics