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ISBRA
2009
Springer
14 years 3 months ago
Untangling Tanglegrams: Comparing Trees by Their Drawings
A tanglegram is a pair of trees on the same set of leaves with matching leaves in the two trees joined by an edge. Tanglegrams are widely used in biology – to compare evolutiona...
Balaji Venkatachalam, Jim Apple, Katherine St. Joh...
COMPGEOM
1996
ACM
14 years 17 days ago
Convex Drawings of Graphs in Two and Three Dimensions (Preliminary Version)
We provideO(n)-timealgorithmsfor constructingthe following types of drawings of n-vertex 3-connectedplanar graphs: 2D convex grid drawings with (3n) (3n=2) area under the edge L1-...
Marek Chrobak, Michael T. Goodrich, Roberto Tamass...
COCOA
2010
Springer
13 years 6 months ago
Listing Triconnected Rooted Plane Graphs
A plane graph is a drawing of a planar graph in the plane such that no two edges cross each other. A rooted plane graph has a designated outer vertex. For given positive integers ...
Bingbing Zhuang, Hiroshi Nagamochi
CORR
2010
Springer
164views Education» more  CORR 2010»
13 years 8 months ago
Schnyder decompositions for regular plane graphs and application to drawing
Schnyder woods are decompositions of simple triangulations into three edge-disjoint spanning trees crossing each other in a specific way. In this article, we define a generalizatio...
Olivier Bernardi, Éric Fusy
COMGEO
2006
ACM
13 years 8 months ago
Computing homotopic shortest paths efficiently
Geometric shortest paths are a major topic in computational geometry; see the survey paper by Mitchell [12]. A shortest path between two points in a simple polygon can be found in...
Alon Efrat, Stephen G. Kobourov, Anna Lubiw