2 problems

Let $F_{k,m,n}(t)=\mathbb{E}(\exp(t\cdot C_{k,m,n}))$ be the moment generating function of the minimum cost $C_{k,m,n}$ of a $k$-matching in the random bipartite matching model. Ze…

Let $C_{k,m,n}$ be the minimum cost of a $k$-matching in the random bipartite matching model, and let its cumulants $\kappa_p$ be defined by … where…