This is to be a highly pictorial encyclopaedia of graphs and orders which have significant applications. Its acronym is OEAGOT.
The first installment is Part VIII of the freely available book at https://institute-theory-stem.org/combinatorics/ (or subsequent modifications of this, splitting it up into little webpages topic by topic). This concerns applying Combinatorics to itself. I.e. modelling the arenas – totalities of various kinds of Combinatorial objects can be done to some extent using graphs and orders: themselves branches of Combinatorics.
The next two installments have started to cover graphs and orders arising in Flat Geometry. And Structural Graph Theory.
The first parts of graphs and orders arising in Theoretical Computer Science, and in Linear Algebra, shall also start to appear shortly.
For now, here is an index of what is in the first installment.
And here are the indexes and links for our next four installments.
OEAGOT GRAPH THEORY STRUCTURAL INDEX |
OETOMA Tensor Networks for Cartesian Tensors | which has dual nationality with our Online Encyclopaedia of Applied Graph and Order Theory.
Forthcoming 2026: Eigentheory of Real-Symmetric Matrices from a Combinatorial point of view. Which also has dual nationality with our Online Encyclopaedia of Applied Graph and Order Theory.
