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GD
2006
Springer
13 years 11 months ago
Upright-Quad Drawing of st -Planar Learning Spaces
We consider graph drawing algorithms for learning spaces, a type of st-oriented partial cube derived from an antimatroid and used to model states of knowledge of students. We show...
David Eppstein
DCG
2011
13 years 2 months ago
Small Grid Embeddings of 3-Polytopes
We introduce an algorithm that embeds a given 3-connected planar graph as a convex 3-polytope with integer coordinates. The size of the coordinates is bounded by O(27.55n ) = O(18...
Ares Ribó Mor, Günter Rote, Andr&eacut...
PR
2008
206views more  PR 2008»
13 years 7 months ago
A study of graph spectra for comparing graphs and trees
The spectrum of a graph has been widely used in graph theory to characterise the properties of a graph and extract information from its structure. It has also been employed as a g...
Richard C. Wilson, Ping Zhu
IPL
2006
98views more  IPL 2006»
13 years 7 months ago
Transforming spanning trees and pseudo-triangulations
Let TS be the set of all crossing-free straight line spanning trees of a planar n-point set S. Consider the graph TS where two members T and T of TS are adjacent if T intersects T...
Oswin Aichholzer, Franz Aurenhammer, Clemens Hueme...
DM
2010
132views more  DM 2010»
13 years 7 months ago
Diameter and connectivity of 3-arc graphs
An arc of a graph is an oriented edge and a 3-arc is a 4-tuple (v, u, x, y) of vertices such that both (v, u, x) and (u, x, y) are paths of length two. The 3-arc graph of a given ...
Martin Knor, Sanming Zhou