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### Questions (7)

 3 Let G be a bipartite graph all of whose vertices have the same degree d. Show that there are at least d distinct perfect matchings in G 3 Evaluate $\ \int_{- \infty}^{\infty} \frac{x e^{2ix}}{x^2 - 1}\,dx \$ using given contour 1 A Problem about friends and strangers using Ramsey's Theory 1 Questions regarding finite Blaschke product 1 Evaluate $\ \int_{- \infty}^{\infty} \frac{x \sin (3x)}{x^2 +4}\,dx \$ using Jordan's Lemma

### Reputation (63)

 +15 Let G be a bipartite graph all of whose vertices have the same degree d. Show that there are at least d distinct perfect matchings in G +5 Find all singularities of$\ \frac{\cos z - \cos (2z)}{z^4} \$ +5 A Problem about friends and strangers using Ramsey's Theory +5 Evaluate $\ \int_{- \infty}^{\infty} \frac{x e^{2ix}}{x^2 - 1}\,dx \$ using given contour

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### Tags (7)

 0 calculus × 5 0 combinatorics × 2 0 complex-analysis × 5 0 ramsey-theory 0 trigonometry × 4 0 general-topology 0 graph-theory × 2

### Accounts (2)

 Mathematics 63 rep 5 Stack Overflow 1 rep