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EJC
2002
13 years 4 months ago
Neighbourhood Graphs of Cayley Graphs for Finitely-generated Groups
In this short note the neighbourhood graph of a Cayley graph is considered. It has as nodes a symmetric generating set of a finitely-generated group . Two nodes are connected by a...
Markus Neuhauser
COMBINATORICS
2006
98views more  COMBINATORICS 2006»
13 years 4 months ago
Restricted Walks in Regular Trees
Let T be the Cayley graph of a finitely generated free group F. Given two vertices in T consider all the walks of a given length between these vertices that at a certain time must...
Laura Ciobanu, Sasa Radomirovic
ISPA
2004
Springer
13 years 10 months ago
Cayley DHTs - A Group-Theoretic Framework for Analyzing DHTs Based on Cayley Graphs
Static DHT topologies influence important features of such DHTs such as scalability, communication load balancing, routing efficiency and fault tolerance. Nevertheless, it is co...
Changtao Qu, Wolfgang Nejdl, Matthias Kriesell
ICCS
2004
Springer
13 years 10 months ago
Graphical and Computational Representation of Groups
An important part of the computer science is focused on the links that can be established between group theory and graph theory. Cayley graphs can establish such a link but meet so...
Alain Bretto, Luc Gillibert
STACS
2007
Springer
13 years 11 months ago
Hard Metrics from Cayley Graphs of Abelian Groups
: Hard metrics are the class of extremal metrics with respect to embedding into Euclidean spaces: they incur Ω(logn) multiplicative distortion, which is as large as it can possib...
Ilan Newman, Yuri Rabinovich