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References to 'neighborhood (of a vertex)'
1. $\mathcal{C}^r$ topologies by Koro
2. alternate proof of Mantel's theorem by lieven
3. bipartite matching by mathcam
4. Cauchy-Kowalewski theorem by rspuzio
5. Chernoff-Cramer bound by Andrea Ambrosio
6. common formulas in calculus of differential forms by juanman
7. cone in $\mathbb{R}^3$ by pahio
8. connection by rspuzio
9. construction of Riemann surface using paths by rspuzio
10. derivation of integral representations of Jacobi $\vartheta$ functions by rspuzio
11. differential operator by rmilson
12. Hessian and inflexion points by rspuzio
13. Lagrange multipliers on manifolds by stevecheng
14. locally trivial bundle by mps
15. partial derivative by Mathprof
16. proof of Hartman-Grobman theorem by Koro
17. proof of Riemann mapping theorem by rspuzio
18. properly discontinuous action by Dr_Absentius
19. vector bundle by rspuzio