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COMBINATORICA
2000
105views more  COMBINATORICA 2000»
13 years 7 months ago
On Cayley Graphs on the Symmetric Group Generated by Tranpositions
Given a connected graph, X, we denote by 2 = 2(X) its smallest non-zero Laplacian eigenvalue. In this paper we show that among all sets of n - 1 transpositions which generate the ...
Joel Friedman
CIKM
2009
Springer
13 years 11 months ago
Efficient processing of group-oriented connection queries in a large graph
We study query processing in large graphs that are fundamental data model underpinning various social networks and Web structures. Given a set of query nodes, we aim to find the g...
James Cheng, Yiping Ke, Wilfred Ng
JGT
2006
98views more  JGT 2006»
13 years 7 months ago
Group chromatic number of planar graphs of girth at least 4
Jeager et al introduced a concept of group connectivity as an generalization of nowhere zero flows and its dual concept group coloring, and conjectured that every 5-edge connected...
Hong-Jian Lai, Xiangwen Li
CORR
2008
Springer
149views Education» more  CORR 2008»
13 years 7 months ago
Phase Transitions on Fixed Connected Graphs and Random Graphs in the Presence of Noise
In this paper, we study phase transition behavior emerging from the interactions among multiple agents in the presence of noise. We propose a simple discrete-time model in which a...
Jialing Liu, Vikas Yadav, Hullas Sehgal, Joshua M....
SODA
2010
ACM
178views Algorithms» more  SODA 2010»
14 years 5 months ago
Tree Embeddings for Two-Edge-Connected Network Design
The group Steiner problem is a classical network design problem where we are given a graph and a collection of groups of vertices, and want to build a min-cost subgraph that conne...
Anupam Gupta, Ravishankar Krishnaswamy, R. Ravi