The Building Blocks of Graph Structures

This section covers essential mathematical concepts—sets, sequences, signatures, and categories—that underpin the structure and transformation of graphs.


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:::info Author:

(1) Thierry Boy de la Tour, Univ. Grenoble Alpes, CNRS, Grenoble INP, LIG 38000 Grenoble, France.

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Abstract and 1 Introduction

2 Basic Definitions and Notations

2.1 Sets

2.2 Sequences

2.3 Signatures and Algebras and 2.4 Categories

3 Monographs and their Morphisms

4 Limits and Colimits

5 Drawing Monographs

6 Graph Structures and Typed Monographs

7 Submonographs and Partial Morphisms

8 Algebraic Transformations of Monographs

9 Attributed Typed Monographs

10 Conclusion and References

2.1 Sets

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2.2 Sequences

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2.3 Signatures and Algebras

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2.4 Categories

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:::info This paper is available on arxiv under CC BY 4.0 DEED license.

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[1] For the sake of simplicity we do not allow the overloading of operator names as in [6]. These names will turn out to be irrelevant anyway.


This content originally appeared on HackerNoon and was authored by Monograph


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