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» Noncrossing Trees and Noncrossing Graphs
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IPL
2008
104views more  IPL 2008»
13 years 4 months ago
A note on harmonic subgraphs in labelled geometric graphs
Let S be a set of n points in general position in the plane, labelled bijectively with the integers {0, 1, . . ., n - 1}. Each edge (the straight segment that joins two points) is...
Gabriela Araujo, József Balogh, Ruy Fabila ...
GD
2003
Springer
13 years 10 months ago
Three-Dimensional Grid Drawings with Sub-quadratic Volume
A three-dimensional grid drawing of a graph is a placement of the vertices at distinct points with integer coordinates, such that the straight line-segments representing the edges ...
Vida Dujmovic, David R. Wood
CCCG
2007
13 years 6 months ago
Pointed Drawings of Planar Graphs
We study the problem how to draw a planar graph such that every vertex is incident to an angle greater than π. In general a straightline embedding cannot guarantee this property....
Oswin Aichholzer, Günter Rote, André S...
JGT
2006
101views more  JGT 2006»
13 years 4 months ago
Distinguishing geometric graphs
We begin the study of distinguishing geometric graphs. Let G be a geometric graph. An automorphism of the underlying graph that preserves both crossings and noncrossings is called...
Michael O. Albertson, Debra L. Boutin
EJC
2011
12 years 12 months ago
Enumeration of connected Catalan objects by type
Noncrossing set partitions, nonnesting set partitions, Dyck paths, and rooted plane trees are four classes of Catalan objects which carry a notion of type. There exists a product f...
Brendon Rhoades