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» Algorithms for Graphs Embeddable with Few Crossings Per Edge
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FCT
2005
Springer
13 years 10 months ago
Algorithms for Graphs Embeddable with Few Crossings Per Edge
Alexander Grigoriev, Hans L. Bodlaender
SODA
2010
ACM
248views Algorithms» more  SODA 2010»
14 years 2 months ago
Approximating the Crossing Number of Graphs Embeddable in Any Orientable Surface
The crossing number of a graph is the least number of pairwise edge crossings in a drawing of the graph in the plane. We provide an O(n log n) time constant factor approximation al...
Petr Hlineny, Markus Chimani
FOCS
2009
IEEE
13 years 11 months ago
Planarity Allowing Few Error Vertices in Linear Time
— We show that for every fixed k, there is a linear time algorithm that decides whether or not a given graph has a vertex set X of order at most k such that G − X is planar (w...
Ken-ichi Kawarabayashi
GD
2004
Springer
13 years 10 months ago
Simultaneous Embedding of Planar Graphs with Few Bends
We present an O(n) time algorithm for simultaneous embedding of pairs of planar graphs on the O(n2 )×O(n2 ) grid, with at most three bends per edge, where n is the number of verti...
Cesim Erten, Stephen G. Kobourov
BMCBI
2010
143views more  BMCBI 2010»
13 years 4 months ago
An efficient biological pathway layout algorithm combining grid-layout and spring embedder for complicated cellular location inf
Background: Graph drawing is one of the important techniques for understanding biological regulations in a cell or among cells at the pathway level. Among many available layout al...
Kaname Kojima, Masao Nagasaki, Satoru Miyano