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Discrete-Math Questions
The converse of a binary relation R is another binary relation R^T, such that R^T(x, y) ⇔ R(y, x) (intuitively, think about flipping the direction of every edge in R to create RT). Show that if R is a partially ordered set, R^T is a partially ordered set
unique existence
Consider any simple graph G with 12 vertices. Can G and its complement G¯¯¯¯ both have a Eulerian trail? Why or why not?
How do you solve this proof?
Solve the following recurrence relations.
Proof by Mathematic Induction $(x^{n+1}-y^{n+1})=(x-y)(\sum_{i=0}^nx^{n-i}y^i)$
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