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Discrete Mathematics
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Extremal infinite graph theory

Authors: Stein, Maya;

Extremal infinite graph theory

Abstract

We survey various aspects of infinite extremal graph theory and prove several new results. The lead role play the parameters connectivity and degree. This includes the end degree. Many open problems are suggested.

41 pages, 16 figures

Related Organizations
Keywords

Extremal problems in graph theory, Connectivity, Extremal graph theory, Minimal k-connectivity, Infinite graph, extremal graph theory, infinite graph, degree, Theoretical Computer Science, Minor, minimal \(k\)-connectivity, Infinite graphs, minor, Degree, connectivity, FOS: Mathematics, Minimum degree, Research exposition (monographs, survey articles) pertaining to combinatorics, Discrete Mathematics and Combinatorics, Mathematics - Combinatorics, Combinatorics (math.CO), minimum degree

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    popularity
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    influence
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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!
9
Average
Top 10%
Average
Green
hybrid