Geodesic
Covering energy of posets and its bounds
Mathematica Bohemica, Tome 148 (2023) no. 4, pp. 537-553 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

The concept of covering energy of a poset is known and its McClelland type bounds are available in the literature. In this paper, we establish formulas for the covering energy of a crown with $2n$ elements and a fence with $n$ elements. A lower bound for the largest eigenvalue of a poset is established. Using this lower bound, we improve the McClelland type bounds for the covering energy for some special classes of posets.
The concept of covering energy of a poset is known and its McClelland type bounds are available in the literature. In this paper, we establish formulas for the covering energy of a crown with $2n$ elements and a fence with $n$ elements. A lower bound for the largest eigenvalue of a poset is established. Using this lower bound, we improve the McClelland type bounds for the covering energy for some special classes of posets.
DOI : 10.21136/MB.2022.0029-22
Classification : 05B20, 05C50, 06A07, 06A11, 06B05, 06B99
Keywords: covering energy of poset; eigenvalue; spectrum; upper bound; lower bound 
@article{10_21136_MB_2022_0029_22,
     author = {Bhamre, Vandana P. and Pawar, Madhukar M.},
     title = {Covering energy of posets and its bounds},
     journal = {Mathematica Bohemica},
     pages = {537--553},
     year = {2023},
     volume = {148},
     number = {4},
     doi = {10.21136/MB.2022.0029-22},
     mrnumber = {4673836},
     zbl = {07790602},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2022.0029-22/}
}
TY  - JOUR
AU  - Bhamre, Vandana P.
AU  - Pawar, Madhukar M.
TI  - Covering energy of posets and its bounds
JO  - Mathematica Bohemica
PY  - 2023
SP  - 537
EP  - 553
VL  - 148
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.2022.0029-22/
DO  - 10.21136/MB.2022.0029-22
LA  - en
ID  - 10_21136_MB_2022_0029_22
ER  - 
%0 Journal Article
%A Bhamre, Vandana P.
%A Pawar, Madhukar M.
%T Covering energy of posets and its bounds
%J Mathematica Bohemica
%D 2023
%P 537-553
%V 148
%N 4
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.2022.0029-22/
%R 10.21136/MB.2022.0029-22
%G en
%F 10_21136_MB_2022_0029_22
Bhamre, Vandana P.; Pawar, Madhukar M. Covering energy of posets and its bounds. Mathematica Bohemica, Tome 148 (2023) no. 4, pp. 537-553. doi: 10.21136/MB.2022.0029-22

Cité par Sources :