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John-Tagore Tevet
Research Group of
Structure Semiotics
University Euroacademy
Tallinn
john.tevet@graphs.ee

1. INITIAL PRINCIPLES1
1.1. Essence of structure1
1.2. Semiotic model of structure 3
1.3. Adjustment and simplification of the model 6
2. PROPERTIES OF STRUCTURE 10
2.1. Diversity of structural regularity 10
2.2. Attributes of symmetry - positions 13
2.3. Relationships between regularity and symmetry properties 18
3. STRUCTURE MODEL AND ISOMORPHISM PROBLEM 24
3.1. Structure model as canonical presentation of a graph 24
3.2. Structural equivalence and graph isomorphism 27
3.3. Isomorphism recognition of strongly symmetric graphs 30
3.4. Outputs of two isomorphism algorithms 31
4. STRUCTURAL TRANSFORMATIONS 34
4.1. Structural transformations and reconstructions 34
4.2. Systems of structural transformations 36
4.3. Successions of structural transformations 39
4.4. Structural successions as dynamical or evolutional phenomena 42
Conclusion 44
References 48
SUPPLEMENT: System of structures with six elements

Page created June 1st, 2002
Last edition June 18th, 2015

APPENDIX:
IMAGINATION OF THE CREATION PROCESSES IN ART AND SCIENCE
Definitions 1
Discussion 5
Conclusion 14

NB! THE GRAPH ISOMORPHISM PROBLEM IS IN P

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