**3**

votes

**1**answer

135 views

### reduction to np hard ordering problem

I am trying to show a reduction from a problem of ordering problem to an np-hard problem that has approximation poly-time algorithm.
My problem is: I have M auctions and in each auction I have N ...

**0**

votes

**1**answer

587 views

### Minimum number of edges - directed graph with given sums of weights

Let's consider a directed graph with positive edge weights. For every vertex we determine the difference
D = (summary weight of edges directed FROM this vertex)-(summary weight of edges directed ...

**2**

votes

**2**answers

207 views

### Relating the toric rank of a semistable curve and the first Betti number of its reduction graph

Introduction
Let $k$ be a local field. Let $C$ be the spectrum of $\mathcal{O}_{k}$. Let $X/k$ be a smooth projective curve with a semistable model $\mathcal{X}/C$.
Let $J$ be the Jacobian of $X$. ...