What is recorded here?
Studied asymptotic properties of uniformly sampled labelled graphs with a fixed number of edges, including threshold behavior for connectivity and isolated vertices.
Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.
Scientific scope
The record is the exact two-author 1959 paper using the fixed-edge random-graph model. It does not absorb Gilbert's independent-edge model, the 1960 evolution paper or all later random-graph theory.
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People and systems
Paul Erdős; Alfréd Rényi
The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.
Research locations and affiliations
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Documented countries / regions: Hungary
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English catalogue narrative
Erdős and Rényi: on random graphs I
Studied asymptotic properties of uniformly sampled labelled graphs with a fixed number of edges, including threshold behavior for connectivity and isolated vertices.
Scientific scope
The record is the exact two-author 1959 paper using the fixed-edge random-graph model. It does not absorb Gilbert's independent-edge model, the 1960 evolution paper or all later random-graph theory.
Reading status
This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.
People and systems
Paul Erdős; Alfréd Rényi
The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.