Pregled bibliografske jedinice broj: 1267119
Towards a characterization of Sidorenko systems
Towards a characterization of Sidorenko systems // Quarterly journal of mathematics, 03 (2023), 03, 19 doi:10.1093/qmath/haad013 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1267119 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Towards a characterization of Sidorenko systems
Autori
Kamčev, Nina ; Liebenau, Anita ; Morrison, Natasha
Izvornik
Quarterly journal of mathematics (0033-5606) 03
(2023);
03, 19
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Sidorenko graphs, linear systems, entropy method
Sažetak
The work of Saad and Wolf [19] and of Fox, Pham and Zhao [8] fully characterizes single equations with the Sidorenko property and both sets of authors ask about a characterization of Sidorenko systems of equations. In this paper, we make progress towards this goal. First, we find a simple necessary condition for a system to be Sidorenko, thus providing a rich family of non-Sidorenko systems. In the opposite direction, we find a large family of structured Sidorenko systems, by utilizing the entropy method. We also make significant progress towards a full classification of systems of two equations.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
Profili:
Nina Kamčev
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
