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» The Path-Packing Structure of Graphs
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JGAA
2007
124views more  JGAA 2007»
15 years 3 months ago
Energy Models for Graph Clustering
The cluster structure of many real-world graphs is of great interest, as the clusters may correspond e.g. to communities in social networks or to cohesive modules in software syst...
Andreas Noack
112
Voted
IJCNN
2008
IEEE
15 years 9 months ago
On the sample mean of graphs
— We present an analytic and geometric view of the sample mean of graphs. The theoretical framework yields efficient subgradient methods for approximating a structural mean and ...
Brijnesh J. Jain, Klaus Obermayer
DM
2010
126views more  DM 2010»
15 years 3 months ago
Asymptotic connectivity of hyperbolic planar graphs
We investigate further the concept of asymptotic connectivity as defined previously by the first author. In particular, we compute an upper bound on the asymptotic connectivity of ...
Patrick Bahls, Michael R. Dipasquale
111
Voted
IPL
2008
145views more  IPL 2008»
15 years 3 months ago
Complexity analysis of a decentralised graph colouring algorithm
Colouring a graph with its chromatic number of colours is known to be NP-hard. Identifying an algorithm in which descisions are made locally with no information about the graph�...
Ken R. Duffy, N. O'Connell, Artëm Sapozhnikov
DM
2007
114views more  DM 2007»
15 years 3 months ago
An inequality for the group chromatic number of a graph
—We give an inequality for the group chromatic number of a graph as an extension of Brooks’ Theorem. Moreover, we obtain a structural theorem for graphs satisfying the equality...
Hong-Jian Lai, Xiangwen Li, Gexin Yu