On Bus Graph Realizability
摘要
In this paper, we consider the following graph embedding problem: Given a bipartite graph G = (V1; V2;E), where the maximum degree of vertices in V2 is 4, can G be embedded on a two dimensional grid such that each vertex in V1 is drawn as a line segment along a grid line, each vertex in V2 is drawn as a point at a grid point, and each edge e = (u; v) for some u 2 V1 and v 2 V2 is drawn as a line segment connecting u and v, perpendicular to the line segment for u? We show that this problem is NP-complete, and sketch how our proof techniques can be used to show the hardness of several other related problems.
引用
@article{arxiv.cs/0609127,
title = {On Bus Graph Realizability},
author = {Anil Ada and Melanie Coggan and Paul Di Marco and Alain Doyon and Liam Flookes and Samuli Heilala and Ethan Kim and Jonathan Li On Wing and Louis-Francois Preville-Ratelle and Sue Whitesides and Nuo Yu},
journal= {arXiv preprint arXiv:cs/0609127},
year = {2007}
}
备注
Tech Report in School of Computer Science, McGill University Poster version of this paper was presented at the International Symposium on Graph Drawing 2006