Stable sets in flag spheres

Maria Chudnovsky, Eran Nevo

Research output: Contribution to journalArticlepeer-review


We provide lower and upper bounds on the minimum size of a maximum stable set over graphs of flag spheres, as a function of the dimension of the sphere and the number of vertices. Further, we use stable sets together with graph rigidity to obtain an improved Lower Bound Theorem for the face numbers of flag spheres. We propose a graph rigidity approach to settle the Lower Bound Conjecture for flag spheres in full.

Original languageEnglish (US)
Article number103699
JournalEuropean Journal of Combinatorics
StatePublished - May 2023

All Science Journal Classification (ASJC) codes

  • Discrete Mathematics and Combinatorics


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