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IPL
2008
98views more  IPL 2008»
13 years 4 months ago
On the number of Go positions on lattice graphs
We use transfer matrix methods to determine bounds for the numbers of legal Go positions for various numbers of players on some planar lattice graphs, including square lattice gra...
Graham Farr, Johannes Schmidt
LFCS
2009
Springer
13 years 11 months ago
Positive Fork Graph Calculus
We introduce and illustrate a graph calculus for proving and deciding the positive identities and inclusions of fork algebras, i.e., those without occurrences of complementation. ...
Renata P. de Freitas, Sheila R. M. Veloso, Paulo A...
CORR
2008
Springer
115views Education» more  CORR 2008»
13 years 4 months ago
Positive circuits and maximal number of fixed points in discrete dynamical systems
We consider a product X of n finite intervals of integers, a map F from X to itself, the asynchronous state transition graph (F) on X that Thomas proposed as a model for the dynam...
Adrien Richard
UAI
2008
13 years 6 months ago
Clique Matrices for Statistical Graph Decomposition and Parameterising Restricted Positive Definite Matrices
We introduce Clique Matrices as an alternative representation of undirected graphs, being a generalisation of the incidence matrix representation. Here we use clique matrices to d...
David Barber
ICRA
2010
IEEE
185views Robotics» more  ICRA 2010»
13 years 3 months ago
Graph based distributed control of non-holonomic vehicles endowed with local positioning information engaged in escorting missio
— Using graph theory, this paper investigates how a group of robots, endowed with local positioning (range and bearing from other robots), can be engaged in a leaderfollowing mis...
Riccardo Falconi, Sven Gowal, Alcherio Martinoli