The hypermetric cone on seven vertices

Mathieu Dutour, Michel Deza

The hypermetric cone $HY{P}_n$ is the set of vectors $(d_{ij}{)}_{1\le i<j\le n}$ satisfying the inequalities $\sum_{1\leq i<j\leq n} b_ib_jd_{ij}\leq 0 with b_i\in\Z and \sum_{i=1}…