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» On grids in topological graphs
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TC
1998
15 years 6 months ago
Optimal Elections in Faulty Loop Networks and Applications
—Loop networks (or Hamiltonian circulant graphs) are a popular class of fault-tolerant network topologies which include rings and complete graphs. For this class, the fundamental...
Bernard Mans, Nicola Santoro
SAC
2010
ACM
16 years 1 months ago
MSP algorithm: multi-robot patrolling based on territory allocation using balanced graph partitioning
This article addresses the problem of efficient multi-robot patrolling in a known environment. The proposed approach assigns regions to each mobile agent. Every region is represen...
David Portugal, Rui Rocha
CSE
2009
IEEE
15 years 4 months ago
Edge Anonymity in Social Network Graphs
Edges in social network graphs can model sensitive relationships. In this paper, we consider the problem of edges anonymity in graphs. We propose a probabilistic notion of edge ano...
Lijie Zhang, Weining Zhang
CORR
2007
Springer
132views Education» more  CORR 2007»
15 years 6 months ago
Nodally 3-connected planar graphs and convex combination mappings
A barycentric mapping of a planar graph is a plane embedding in which every internal vertex is the average of its neighbours. A celebrated result of Tutte’s [16] is that if a pl...
Colm Ó'Dúnlaing
CORR
2010
Springer
107views Education» more  CORR 2010»
15 years 3 months ago
Metric uniformization and spectral bounds for graphs
We present a method for proving upper bounds on the eigenvalues of the graph Laplacian. A main step involves choosing an appropriate "Riemannian" metric to uniformize th...
Jonathan A. Kelner, James R. Lee, Gregory N. Price...