Stable Sets in Flag Spheres

Maria Chudnovsky*, Eran Nevo

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


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 to obtain an improved Lower Bound Theorem for the face numbers of flag spheres.

Original languageAmerican English
Article number#10
JournalSeminaire Lotharingien de Combinatoire
Issue number86
StatePublished - 2022

Bibliographical note

Funding Information:
* P partially supported by Grant DMS-2120644 and by ISF grant 2480/20. † Partially supported by the Israel Science Foundation grant ISF-2480/20 and by ISF-BSF joint grant 2016288.

Publisher Copyright:
© 2022, Seminaire Lotharingien de Combinatoire. All Rights Reserved.


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