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» An Algebraic Theory of Graph Reduction
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GG
1990
Springer
13 years 10 months ago
An Algebraic Theory of Graph Reduction
Stefan Arnborg, Bruno Courcelle, Andrzej Proskurow...
CORR
2011
Springer
198views Education» more  CORR 2011»
13 years 29 days ago
Kron Reduction of Graphs with Applications to Electrical Networks
Abstract. Consider a weighted and undirected graph, possibly with self-loops, and its corresponding Laplacian matrix, possibly augmented with additional diagonal elements correspon...
Florian Dörfler, Francesco Bullo
IJAC
2008
158views more  IJAC 2008»
13 years 6 months ago
The Braid rook Monoid
species and combinatorial Hopf algebras on the one hand, and quantum groups and the classification theory of abstract Hopf algebras on the other. This is part of joint work with Sw...
Eddy Godelle
MKM
2009
Springer
14 years 15 days ago
Exploring a Quantum Theory with Graph Rewriting and Computer Algebra
Graphical languages provide a powerful tool for describing the behaviour of quantum systems. While the use of graphs vastly reduces the complexity of many calculations [4,10], manu...
Aleks Kissinger
WADT
1998
Springer
13 years 9 months ago
An Algebra of Graph Derivations Using Finite (co-) Limit Double Theories
Graph transformation systems have been introduced for the formal specification of software systems. States are thereby modeled as graphs, and computations as graph derivations acco...
Andrea Corradini, Martin Große-Rhode, Reiko ...