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# Tag Archives: Graph

## Reflections on Abstractions: From ‘Siamese’ Graphs to Concept Lattices

There is an elegant construct of dealing with ‘Siamese’ abstractions for object-attribute situations, from formal concept analysis. Where ‘Siamese’ means not-rhs-unique mapping of complete subgraphs. Continue reading

## Reflections on Abstractions: Subsumptions and Omissions

In addition to the recent posting ‘Abstractive and Functional Mappings’ we provide a simple visualisation of subsuming and omitting abstractions. Continue reading

Posted in Mathematics, Reflections on Abstractions
Tagged abstraction, Graph, left-total, left-unique, lhs, Mapping, model, modeling, omission, reflections on abstractions, Relation, rhs, ROA, subsumption
1 Comment

## Reflections on Abstractions: Abstractive vs Functional Mappings

We introduce the concepts of subsuming and omitting mappings, and see how they are better suited for abstraction and modelling than the classical mathematical concept of functions. Continue reading

Posted in Mathematics, Reflections on Abstractions
Tagged abstraction, bijection, function, Graph, left-total, left-unique, lhs, Mapping, model, modeling, reflections on abstractions, Relation, rhs, ROA, total, unique
3 Comments

## 2-Structures by Ehrenfeucht et al.

2-Structures theory is mainly concerned with analysing the algebraic properties of switches. Therefore Ehrenfeucht, Harju, Rozenberg give the following example: … Continue reading

Posted in Mathematics
Tagged 2-Structures, abstraction, Clan, Ehrenfeucht, Finite Model Theory, Graph, Graph Theory, Harju, model, model theory, modeling, Relation, Rozenberg, Switch
2 Comments