Title
Order-preserving 1-string representations of planar graphs.
Abstract
This paper considers 1-string representations of planar graphs that are order-preserving in the sense that the order of crossings along the curve representing vertex v is the same as the order of edges in the clockwise order around v in the planar embedding. We show that this does not exist for all planar graphs (not even for all planar 3-trees), but show existence for some subclasses of planar partial 3-trees. In particular, for outer-planar graphs it can be order-preserving and outer-string in the sense that all ends of strings are on the outside of the representation.
Year
DOI
Venue
2017
10.1007/978-3-319-51963-0_22
Lecture Notes in Computer Science
DocType
Volume
ISSN
Conference
10139
0302-9743
Citations 
PageRank 
References 
0
0.34
9
Authors
2
Name
Order
Citations
PageRank
Therese Biedl1902106.36
Martin Derka255.96