The authors prove EL-shellability of posets induced by chordal building sets and derive an alternating-permutation counting formula for rational Betti numbers of real toric manifolds from chordal nestohedra, including a-number computation for chordal graphs.
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Real toric manifolds associated with chordal nestohedra
The authors prove EL-shellability of posets induced by chordal building sets and derive an alternating-permutation counting formula for rational Betti numbers of real toric manifolds from chordal nestohedra, including a-number computation for chordal graphs.