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
Keywords:
singular values of graph / Schatten norms / random graph / energy of graph
Source:
Hacettepe Journal of Mathematics and Statistics., 2022
TY - 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 . .
