Counting independent sets in regular graphs with bounded independence number

An $n$-vertex, $d$-regular graph can have at most $2^{n/2+o_d(n)}$ independent sets. In this paper we address what happens with this upper bound when we impose the further condition that the graph has independence number at most $\alpha$. We give upper and lower bounds that in many cases are close t...

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Bibliographische Detailangaben

Hauptverfasser:	Galvin, David, Marmorino, Phillip
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Combinatorics
Online-Zugang:	Volltext bestellen
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