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» Graph Algebras for Bigraphs
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MKM
2009
Springer
15 years 6 months 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
FUIN
2007
122views more  FUIN 2007»
14 years 11 months ago
Behaviour Algebras
The paper is concerned with algebras whose elements can be used to represent runs of a system, called processes. These algebras, called behaviour algebras, are categories with resp...
Józef Winkowski
CORR
2011
Springer
198views Education» more  CORR 2011»
14 years 6 months 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
STACS
1995
Springer
15 years 3 months ago
The Number of Views of Piecewise-Smooth Algebraic Objects
Abstract. A solid object in 3-dimensional space may be described by a collection of all its topologically distinct 2-dimensional appearances, its aspect graph. In this paper, we st...
Sylvain Petitjean
LICS
2000
IEEE
15 years 4 months ago
Computational Complexity of Some Problems Involving Congruences on Algebras
We prove that several problems concerning congruences on algebras are complete for nondeterministic log-space. These problems are: determining the congruence on a given algebra gen...
Clifford Bergman, Giora Slutzki