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AMC
2005
145views more  AMC 2005»
13 years 7 months ago
Connectivity graphs as models of local interactions
In this paper, we study graphs that arise from certain sensory and communication limitations on the local interactions in multi-agent systems. In particular, we show that the set ...
Abubakr Muhammad, Magnus Egerstedt
COMBINATORICS
2006
221views more  COMBINATORICS 2006»
13 years 7 months ago
Kernels of Directed Graph Laplacians
Abstract. Let G denote a directed graph with adjacency matrix Q and indegree matrix D. We consider the Kirchhoff matrix L = D - Q, sometimes referred to as the directed Laplacian. ...
John S. Caughman IV, J. J. P. Veerman
CORR
2010
Springer
95views Education» more  CORR 2010»
13 years 7 months ago
Nowhere dense graph classes, stability, and the independence property
A class of graphs is nowhere dense if for every integer r there is a finite upper bound on the size of cliques that occur as (topological) r-minors. We observe that this tameness ...
Hans Adler, Isolde Adler
26
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UAI
2004
13 years 8 months ago
Computing Nash Equilibria of Action-Graph Games
Action-graph games (AGGs) are a fully expressive game representation which can compactly express both strict and context-specific independence between players' utility functi...
Navin A. R. Bhat, Kevin Leyton-Brown
SPAA
2005
ACM
14 years 29 days ago
Peer-to-peer networks based on random transformations of connected regular undirected graphs
We present k-Flipper, a graph transformation algorithm that transforms regular undirected graphs. Given a path of k +2 edges it interchanges the end vertices of the path. By defin...
Peter Mahlmann, Christian Schindelhauer