Analytical Treatment of Higher-Order Graphs: A Path Ordinal Method for Solving Graphs

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Kamal, Hala and Larena, Alicia and Bernabeu Martínez, Eusebio (2017) Analytical Treatment of Higher-Order Graphs: A Path Ordinal Method for Solving Graphs. Symmetry, 9 (11). p. 288. ISSN 2073-8994

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Official URL: https://doi.org/10.3390/sym9110288




Abstract

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.


Item Type:Article
Uncontrolled Keywords:flow graph; matrix algebra; linear equations; cascade graph; graph order; path ordinal; path set; path set diagram
Subjects:Sciences > Physics > Mathematical physics
Sciences > Physics > Optics
ID Code:65342
Deposited On:24 May 2021 15:15
Last Modified:24 May 2021 15:34

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