A very short proof of Sidorenko's inequality for counts of homomorphism between graphs

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Advisor

Volume

3120

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Journal

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WIAS Preprints

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Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik

Supplementary Material

Abstract

We provide a very elementary proof of a classical extremality result due to Sidorenko (Discrete Math. 131.1-3, 1994), which states that among all graphs G on k vertices, the k-1-edge star maximises the number of graph homomorphisms of G into any graph H.

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Keywords GND

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Publication Type

Report

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publishedVersion

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This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.
Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.