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Analytical treatment of higher-order graphs: a path ordinal method for solving graphs - MaRDI portal

Analytical treatment of higher-order graphs: a path ordinal method for solving graphs (Q2333465)

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Analytical treatment of higher-order graphs: a path ordinal method for solving graphs
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    Analytical treatment of higher-order graphs: a path ordinal method for solving graphs (English)
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    13 November 2019
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    Summary: Analytical treatment of the composition of higher-order graphs representing linear relations between variables is developed. A path formalism to deal with problems in graph theory is introduced. It is shown how paths in the composed graph representing individual contributions to variables relation can be enumerated and represented by ordinals. The method allows for one to extract partial information and gives an alternative to classical graph approach.
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    flow graph
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    matrix algebra
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    linear equations
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    cascade graph
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    graph order
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    path ordinal
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    path set
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    path set diagram
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