Title
Inner rectangular drawings of plane graphs
Abstract
A drawing of a plane graph is called an inner rectangular drawing if every edge is drawn as a horizontal or vertical line segment so that every inner face is a rectangle In this paper we show that a plane graph G has an inner rectangular drawing D if and only if a new bipartite graph constructed from G has a perfect matching We also show that D can be found in time O(n1.5/log n) if G has n vertices and a sketch of the outer face is prescribed, that is, all the convex outer vertices and concave ones are prescribed.
Year
DOI
Venue
2004
10.1007/978-3-540-30551-4_60
Int. J. Comput. Geometry Appl.
Keywords
Field
DocType
new bipartite graph,n vertex,outer face,plane graph g,plane graph,inner face,time o,inner rectangular drawing,convex outer vertex,log n
Discrete mathematics,Combinatorics,Outerplanar graph,Graph power,Graph factorization,Bipartite graph,Cycle graph,String graph,Dominance drawing,Planar graph,Mathematics
Conference
Volume
Issue
ISSN
16
2-3
0218-1959
ISBN
Citations 
PageRank 
3-540-24131-0
0
0.34
References 
Authors
15
3
Name
Order
Citations
PageRank
Kazuyuki Miura1848.66
Hiroki Haga200.34
Takao Nishizeki31771267.08