Title
Crossing minimization in linear embeddings of graphs
Abstract
The problem of embedding a graph in the plane with the minimum number of edge crossings arises in some circuit layout problems. It has been known to be NP-hard in general. Recently, in the area of book embedding, this problem was shown to be NP-hard even when the vertices are placed on a straight line l. The authors show that the problem remains NP-hard even if, in addition to these constraints, the positions of the vertices on l are predetermined.
Year
DOI
Venue
1990
10.1109/12.46286
Computers, IEEE Transactions  
Keywords
Field
DocType
circuit layout CAD,computational complexity,graph theory,minimisation,NP-hard,circuit layout problems,crossing minimisation,linear embeddings of graphs
Graph theory,Discrete mathematics,Graph,Embedding,Computer science,Parallel computing,Minimisation (psychology),Minification,Computational complexity theory
Journal
Volume
Issue
ISSN
39
1
0018-9340
Citations 
PageRank 
References 
35
2.02
5
Authors
4
Name
Order
Citations
PageRank
Sumio Masuda115020.26
Kazuo Nakajima2808.16
Toshinobu Kashiwabara310616.79
Toshio Fujisawa49215.13