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

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

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 c...

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Veröffentlicht in:Symmetry (Basel) 2017-11, Vol.9 (11), p.288
Hauptverfasser: Kamal, Hala, Larena, Alicia, Bernabeu, Eusebio
Format: Artikel
Sprache:eng
Schlagworte:
cascade graph
flow graph
graph order
Graph theory
Graphical representations
Graphs
linear equations
matrix algebra
path ordinal
path set
path set diagram
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Zusammenfassung: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.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym9110288