Abstract:A grid drawing of a graph maps vertices to the grid Z d and edges to line segments that avoid grid points representing other vertices. We show that a graph G is q d-colorable, d, q ≥ 2, if and only if there is a grid drawing of G in Z d in which no line segment intersects more than q grid points. This strengthens the result of D. Flores Penaloza and F. J. Zaragoza Martinez. Second, we study grid drawings with a bounded number of columns, introducing some new NP-complete problems. Finally, we show that any plan… Show more
Set email alert for when this publication receives citations?
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.