Hello,
I am from a background in graph theory and I discovered graph databases
recently.
I wrote a research article with my functional point of view instead of the
classical relational point of view in graph theory logic.
I tried to make the introduction of my article as friendly and easy to
grasp the core concepts as possible.
I wanted to share my article with you :
https://web.archive.org/web/20201230092310/http://lyaudet.eu/laurent/Publi/Journaux/LL2020LargeursStructuresBinaires/LL2020LargeursStructuresBinaires_v5.pdf
In the introduction I show that GraphQL queries can be solved on a
reversible matrix instead of a multigraph. There is one trivial theorem
where you just transform edges/arcs into new vertices using the incidency
graph.
And there is a slightly less trivial theorem where you transform
multi-edges with properties between vertices into a single integer value
from one vertex to another.
The slightly less trivial theorem can, nevertheless, only be done for a
fragment of GraphQL.
I don't know if any of these theorems can be made efficient and have
practical applications but maybe some of you will enjoy to have a logical
framework that fits graph databases.
May I ask for your feedback, please ?
Best regards,
Laurent Lyaudet
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