Geodesic
Ordering of k-uniform hypertrees by their distance spectral radii
Filomat, Tome 36 (2022) no. 9, p. 3025

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

The distance spectral radius of a connected hypergraph is the largest eigenvalue of its distance matrix. In this paper we present a new transformation that decreases distance spectral radius. As applications , if ∆ ≥ ⌈ m+1 2 ⌉, we determine the unique k-uniform hypertree of fixed m edges and maximum degree ∆ with the minimum distance spectral radius. And we characterize the k-uniform hypertrees on m edges with the fourth, fifth, and sixth smallest distance spectral radius. In addition, we obtain the k-uniform hypertree on m edges with the third largest distance spectral radius.
DOI : 10.2298/FIL2209025L
Classification : 05C50, 05C65
Keywords: Distance matrix, Distance spectral radius, k-uniform hypertree 
Xiangxiang Liu; Ligong Wang; Xihe Li. Ordering of k-uniform hypertrees by their distance spectral radii. Filomat, Tome 36 (2022) no. 9, p. 3025 . doi: 10.2298/FIL2209025L
@article{10_2298_FIL2209025L,
     author = {Xiangxiang Liu and Ligong Wang and Xihe Li},
     title = {Ordering of k-uniform hypertrees by their distance spectral radii},
     journal = {Filomat},
     pages = {3025 },
     year = {2022},
     volume = {36},
     number = {9},
     doi = {10.2298/FIL2209025L},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2209025L/}
}
TY  - JOUR
AU  - Xiangxiang Liu
AU  - Ligong Wang
AU  - Xihe Li
TI  - Ordering of k-uniform hypertrees by their distance spectral radii
JO  - Filomat
PY  - 2022
SP  - 3025 
VL  - 36
IS  - 9
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2209025L/
DO  - 10.2298/FIL2209025L
LA  - en
ID  - 10_2298_FIL2209025L
ER  - 
%0 Journal Article
%A Xiangxiang Liu
%A Ligong Wang
%A Xihe Li
%T Ordering of k-uniform hypertrees by their distance spectral radii
%J Filomat
%D 2022
%P 3025 
%V 36
%N 9
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2209025L/
%R 10.2298/FIL2209025L
%G en
%F 10_2298_FIL2209025L

Cité par Sources :