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Algebra and Discrete Mathematics
Article . 2023 . Peer-reviewed
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zbMATH Open
Article . 2023
Data sources: zbMATH Open
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The presentation of deterministic and strongly deterministic graphs

Authors: Senchenko, O. S.; Prytula, M. I.;

The presentation of deterministic and strongly deterministic graphs

Abstract

The paper proposes a presentation of D-graphsand SD-graphs by a defining pair of words in the alphabet of their vertex labels. We present an algorithm that, given an arbitrary pair of sets, either constructs a D-graph for which this pair is the defining pair or informs that it is impossible to do so. We alsopresent an algorithm for constructing a canonical defining pair fora D-graph and find some numerical estimates of this pair.

Keywords

Graph labelling (graceful graphs, bandwidth, etc.), deterministic graph, Graph theory (including graph drawing) in computer science, defining pair, Graph representations (geometric and intersection representations, etc.), presentation

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Top 10%
Average
Average
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