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» On Spectral Graph Drawing
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GD
2007
Springer
14 years 2 months ago
Moving Vertices to Make Drawings Plane
In John Tantalo’s on-line game Planarity the player is given a non-plane straight-line drawing of a planar graph. The aim is to make the drawing plane as quickly as possible by m...
Xavier Goaoc, Jan Kratochvíl, Yoshio Okamot...
GD
2005
Springer
14 years 2 months ago
Drawing Kn in Three Dimensions with One Bend Per Edge
We give a drawing of Kn in three dimensions in which vertices are placed at integer grid points and edges are drawn crossing-free with at most one bend per edge in a volume bounde...
Olivier Devillers, Hazel Everett, Sylvain Lazard, ...
IPCO
1993
98views Optimization» more  IPCO 1993»
13 years 10 months ago
A spectral approach to bandwidth and separator problems in graphs
Lower bounds on the bandwidth, the size of a vertex separator of general undirected graphs, and the largest common subgraph of two undirected (weighted) graphs are obtained. The b...
Christoph Helmberg, Bojan Mohar, Svatopluk Poljak,...
COMBINATORICS
2007
99views more  COMBINATORICS 2007»
13 years 8 months ago
The Spectral Radius of Subgraphs of Regular Graphs
Let µ (G) and µmin (G) be the largest and smallest eigenvalues of the adjacency matrix of a graph G. Our main results are: (i) Let G be a regular graph of order n and finite di...
Vladimir Nikiforov
PAKDD
2011
ACM
214views Data Mining» more  PAKDD 2011»
12 years 11 months ago
Spectral Analysis of k-Balanced Signed Graphs
Abstract. Previous studies on social networks are often focused on networks with only positive relations between individual nodes. As a significant extension, we conduct the spectr...
Leting Wu, Xiaowei Ying, Xintao Wu, Aidong Lu, Zhi...