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» Algorithms for Graphs Embeddable with Few Crossings Per Edge
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FCT
2005
Springer
14 years 1 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 5 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
14 years 3 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
14 years 1 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 8 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