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Mathematics · Source-linked note

Erdős and Stone: the structure of linear graphs

Established the asymptotic extremal edge density for graphs excluding a fixed graph, with the chromatic number of the excluded graph determining the leading term.

What is recorded here?

Established the asymptotic extremal edge density for graphs excluding a fixed graph, with the chromatic number of the excluded graph determining the leading term.

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 1946 Bulletin of the American Mathematical Society paper. It does not absorb Turán's complete-graph theorem, later Erdős-Simonovits refinements or finite exact bounds not proved there.

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People and systems

P. Erdős; A. H. Stone

The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.

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Documented countries / regions: United States, United Kingdom

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English catalogue narrative

Erdős and Stone: the structure of linear graphs

Established the asymptotic extremal edge density for graphs excluding a fixed graph, with the chromatic number of the excluded graph determining the leading term.

Scientific scope

The record is the exact two-author 1946 Bulletin of the American Mathematical Society paper. It does not absorb Turán's complete-graph theorem, later Erdős-Simonovits refinements or finite exact bounds not proved there.

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

P. Erdős; A. H. Stone

The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.

Original sources