2006/08/08 by Vladimir Nikiforov, Nikiforov, Vladimir · 1 citation
Mathematics · #05C35 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Combinatorics (math.CO) #FOS: Mathematics #Functional Equations Stability Results
paper · pdf · doi:10.48550/arxiv.math/0608199
openalex publication_date 2006/08/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We give a combinatorial extension of the classical inequalities of Maclaurin about symmetric functions of several variables. We discuss two problems - one analytical and another combinatorial - and show that they are in some sense equaivalent. These results complete and extend earlier results of Motzkin and Straus, Khadzhiivanov, Sos and Straus, Fisher and Ryan, and Petingi and Rodriguez.