Neighbourhood
Summary
The neighbourhood of a vertex in a graph is the set of vertices adjacent to it. Many local properties of graphs, such as degrees, are defined through neighbourhoods. The node neighbourhood gives the precise definition.
Where this leads
39 pages build on this one.
- Banach–Alaoglu theorem
- Germ of a holomorphic function
- Urysohn space
- Filter limit
- van Dantzig's theorem
- Open subgroup
- Barrelled space
- Summation in topological groups
- Kolmogorov's normability criterion
- Convergence of filters
- Germ of an analytic set
- Uniform structure of a topological group
- Locally convex space
- Kazhdan–Margulis theorem
- Lyapunov function for a difference equation
- Hemicontinuity
- Compactness via ultrafilters
- Line with two origins
- Bornological space
- Irreducible analytic germ
- Steinhaus theorem
- Net
- Germ of a smooth function
- LF-space
- Pettis lemma
- Derived set
- Locally finite family
- Filter
- Semianalytic set
- Zassenhaus neighbourhood
- Moore plane
- Wang's finiteness theorem
- No small subgroups
- Convenient vector space
- Convergence along an ultrafilter
- Germ
- von Neumann bounded set
- Semicontinuity
- Support of a measure
Further reading
About this page
| Tag | 0ZCY0Z80B6 |
|---|---|
| URI | m2://0ZCY0Z80B6 |
| Kind | concept |
| Writing | W0 stub |
| MSC | 05C07 |
| Same as |
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What this page needs for W1
- an inventory row: the row of the inventory that the node accounts for (0 of 1)
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What links here
Definitions
Used by
- Banach–Alaoglu theorem
- Germ of a holomorphic function
- Urysohn space
- Filter limit
- van Dantzig's theorem
- Open subgroup
- Barrelled space
- Summation in topological groups
- Kolmogorov's normability criterion
- Convergence of filters
- Germ of an analytic set
- Uniform structure of a topological group
- Locally convex space
- Kazhdan–Margulis theorem
- Lyapunov function for a difference equation
- Hemicontinuity
- Compactness via ultrafilters
- Line with two origins
- Bornological space
- Steinhaus theorem
- Net
- Germ of a smooth function
- LF-space
- Pettis lemma
- Derived set
- Locally finite family
- Filter
- Semianalytic set
- Zassenhaus neighbourhood
- Moore plane
- No small subgroups
- Convergence along an ultrafilter
- Germ
- von Neumann bounded set
- Semicontinuity
- Support of a measure