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Mathematical Programming, 2012
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The Equational Logic For Graph Algebras
Mathematical Logic Quarterly, 1989Graph algebras establish a useful connection between graphs and universal algebras. In this paper the Completeness Theorem for the equational logic of graph algebras is formulated and proved: A set \(\Sigma\) of identities in graph algebras implies an identity \(p\approx q\) (that is, \(p\approx q\) holds in all graph algebras in which \(\Sigma\) holds)
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WORD EQUATIONS OVER GRAPH PRODUCTS
International Journal of Algebra and Computation, 2003For monoids that satisfy a weak cancellation condition, it is shown that the decidability of the existential theory of word equations is preserved under graph products. Furthermore, it is shown that the positive theory of a graph product of groups can be reduced to the positive theories of those factors, which commute with all other factors, and the ...
Volker Diekert, Markus Lohrey
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SOLVABILITY OF EQUATIONS IN GRAPH GROUPS IS DECIDABLE
International Journal of Algebra and Computation, 2006We show that the existential theory of free partially commutative monoids with involution is decidable. As a consequence the existential theory of graph groups is also decidable. If the underlying alphabet of generators is fixed, we obtain a PSPACE-completeness result, otherwise (in the uniform setting) our decision procedure is in EXPSPACE. Our proof
Diekert, Volker, Muscholl, Anca
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1981
In chapter 9 we investigated the problem of finding the equation of a straight line given the graph of the line. In practice we often need to reverse this step — to draw a graph of a straight line whose equation is given. From our present knowledge this is a relatively elementary operation. Let us approach the problem via an example: suppose we wish to
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In chapter 9 we investigated the problem of finding the equation of a straight line given the graph of the line. In practice we often need to reverse this step — to draw a graph of a straight line whose equation is given. From our present knowledge this is a relatively elementary operation. Let us approach the problem via an example: suppose we wish to
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Graphing equations in economics
2015 International Conference on Interactive Mobile Communication Technologies and Learning (IMCL), 2015This paper presents an interactive software application tool, for creating graphs. The software was designed to support educators teaching economics and business courses, in demonstrating concepts relative to the course material. It creates basic graphs using polynomial functions.
Andreas Savva +2 more
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Differential Equations, 2006
As application of the previous results of the first author on differential equations with noninvertible operator at the derivative the authors analyze the behaviour of a flange beam under permanent load, i.e. Hoff equations on graphs. Let \(\mathbf{G}=\mathbf{G}(\mathfrak{B;E})\) be a finite connected directed graph, where \(\mathfrak{B}=\{V_i\}\) is ...
Sviridyuk, G. A., Shemetova, V. V.
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As application of the previous results of the first author on differential equations with noninvertible operator at the derivative the authors analyze the behaviour of a flange beam under permanent load, i.e. Hoff equations on graphs. Let \(\mathbf{G}=\mathbf{G}(\mathfrak{B;E})\) be a finite connected directed graph, where \(\mathfrak{B}=\{V_i\}\) is ...
Sviridyuk, G. A., Shemetova, V. V.
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On the nonoscillation of an equation on a graph
Differential Equations, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A solution of graph equation for line graphs
TRU Mathematics, 1976AKIYAMA, JIN +2 more
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Graph equations for line graphs, total graphs and middle graphs
TRU Mathematics, 1976AKIYAMA, JIN +2 more
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