The Category of Graphs

The category of graphs and the mappings between them is considered. The monomorphisms and epimorphisms are characterized. Reflective and coreflective subcategories are identified and terminal, initial, projective, and injective objects are characterized. Parallels with the category of topological spaces are discussed.

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Publication Details

Journal
Pittsburgh Interdisciplinary Mathematics Review
Published
2024-12-06
DOI
https://doi.org/10.5195/pimr.2024.37
Primary Topic
Fuzzy and Soft Set Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

The Category of Graphs

Russell Walker
Pittsburgh Interdisciplinary Mathematics Review
Fuzzy and Soft Set Theory
article

The Category of Graphs

Russell Walker
article en

Abstract

The category of graphs and the mappings between them is considered. The monomorphisms and epimorphisms are characterized. Reflective and coreflective subcategories are identified and terminal, initial, projective, and injective objects are characterized. Parallels with the category of topological spaces are discussed.

Pittsburgh Interdisciplinary Mathematics ReviewVol. 2
Carnegie Mellon University (US)
Openalex Percentile: Top 73%
Fuzzy and Soft Set Theory
DOIOpen Access PDFOpenAlex
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The Category of Graphs — Russell Walker · Pittsburgh Interdisciplinary Mathematics Review (2024) | TGRS Research Map | TGRS