Еxtended Schatten norms of random graphs and Nikiforov conjecture
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2022
Članak u časopisu (Radna verzija)
Metapodaci
Prikaz svih podataka o dokumentuApstrakt
In this paper we give a geometric mean and mean of
p-th degree of singular values for almost all graphs. We prove three
theorems about a conjecture of V. Nikiforov for Schatten p-norm
of graphs when p > 2. We prove that the conjecture is true when
p is an even integer or when graph is a tree or a strongly regular
graph with certain parameters. The strongly regular graphs with
these parameters are graphs with maximal energy
Ključne reči:
singular values of graph / Schatten norms / random graph / energy of graphIzvor:
Hacettepe Journal of Mathematics and Statistics., 2022Izdavač:
- Hacettepe University
Kolekcije
Institucija/grupa
GraFarTY - JOUR AU - Lazarević, Ivan PY - 2022 UR - https://grafar.grf.bg.ac.rs/handle/123456789/2975 AB - In this paper we give a geometric mean and mean of p-th degree of singular values for almost all graphs. We prove three theorems about a conjecture of V. Nikiforov for Schatten p-norm of graphs when p > 2. We prove that the conjecture is true when p is an even integer or when graph is a tree or a strongly regular graph with certain parameters. The strongly regular graphs with these parameters are graphs with maximal energy PB - Hacettepe University T2 - Hacettepe Journal of Mathematics and Statistics. T1 - Еxtended Schatten norms of random graphs and Nikiforov conjecture DO - 10.15672/hujms.914884 ER -
@article{ author = "Lazarević, Ivan", year = "2022", abstract = "In this paper we give a geometric mean and mean of p-th degree of singular values for almost all graphs. We prove three theorems about a conjecture of V. Nikiforov for Schatten p-norm of graphs when p > 2. We prove that the conjecture is true when p is an even integer or when graph is a tree or a strongly regular graph with certain parameters. The strongly regular graphs with these parameters are graphs with maximal energy", publisher = "Hacettepe University", journal = "Hacettepe Journal of Mathematics and Statistics.", title = "Еxtended Schatten norms of random graphs and Nikiforov conjecture", doi = "10.15672/hujms.914884" }
Lazarević, I.. (2022). Еxtended Schatten norms of random graphs and Nikiforov conjecture. in Hacettepe Journal of Mathematics and Statistics. Hacettepe University.. https://doi.org/10.15672/hujms.914884
Lazarević I. Еxtended Schatten norms of random graphs and Nikiforov conjecture. in Hacettepe Journal of Mathematics and Statistics.. 2022;. doi:10.15672/hujms.914884 .
Lazarević, Ivan, "Еxtended Schatten norms of random graphs and Nikiforov conjecture" in Hacettepe Journal of Mathematics and Statistics. (2022), https://doi.org/10.15672/hujms.914884 . .