We show that the independence complex of a chordal graph is contractible if and only if this complex is dismantlable (strong collapsible) and it is homotopy equivalent to a sphere if and only if its core is a cross-polytopal sphere.

Coordinate term: debit balance

All Emily could hear were blurpy noises and a shrill whistle. “Are you there Matthew? Hello, hello... Matthew?... What happened?” “Don't worry Mom. I just passed through a giant rock cut. I'm O.K., the phone's O.K. […]

The absolute incarnation of evil, Adolf Hitler, lies at your feet in a pool of his own blood. His wrinkled, crimson-splattered visage still strains, a jagged-toothed rictus trying to cry out. Insane even in death. Your lips pinched in bitter victory, you kick his head off his remains and spit on his corpse.