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105
Voted
AMC
2005
145views more  AMC 2005»
15 years 17 days 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»
15 years 21 days 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»
15 years 22 days 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
UAI
2004
15 years 2 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
126
Voted
SPAA
2005
ACM
15 years 6 months 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