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» Convex Graph Invariants
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GD
2006
Springer
15 years 7 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
150
Voted
DCG
2011
14 years 10 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»
15 years 3 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»
15 years 3 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»
15 years 3 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