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Expander graphs and where to find them
Snapshots of modern mathematics from Oberwolfach
Expander graphs and where to find them
Graphs are mathematical objects composed of a collection of “dots” called vertices, some of which are joined by lines called edges. Graphs are ideal for visually representing relations between things, and mathematical properties of graphs can provide an insight into real-life phenomena. One interesting property is how connected a graph is, in the sense of how easy it is to move between the vertices along the edges. The topic dealt with here is the construction of particularly well-connected graphs, and whether or not such graphs can happily exist in worlds similar to ours.
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Mathematical subjects
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/algebra-12.png?itok=WMnSOls0)
Algebra and Number Theory
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/analysis-06.png?itok=O4i7d5Wv)
Analysis
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/geometry-11.png?itok=7nie2HtL)
Geometry and Topology
Connections to other fields
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/engineering-13.png?itok=tp5ri2dm)
Engineering and Technology
License
DOI (Digital Object Identifier)
10.14760/SNAP-2019-016-EN
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snapshots: overview
Mathematical subjects
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/algebra-12.png?itok=WMnSOls0)
Algebra and Number Theory
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/analysis-06.png?itok=O4i7d5Wv)
Analysis
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/didactics-education-15.png?itok=zGEXvt-F)
Didactics and Education
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/discrete-mathematics-15.png?itok=-FzQkYYS)
Discrete Mathematics and Foundations
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/geometry-11.png?itok=7nie2HtL)
Geometry and Topology
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/scientific-computing-13.png?itok=ITl1i8bo)
Numerics and Scientific Computing
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/probability-03.png?itok=3JwXiTOH)
Probability Theory and Statistics
Connections to other fields
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/earth-science-08.png?itok=cZerm-ci)
Chemistry and Earth Science
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/computer-science-07.png?itok=pLuN6kUJ)
Computer Science
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/engineering-13.png?itok=tp5ri2dm)
Engineering and Technology
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/finances-12.png?itok=lG8MBRm4)
Finance
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/humanities-02.png?itok=RscY9Rzd)
Humanities and Social Sciences
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/life-sciences-01.png?itok=3JrkXVc3)
Life Science
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/physics-05.png?itok=QpsS2HhD)
Physics
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/reflections-05.png?itok=9gMon4LN)
Reflections on Mathematics