| Title: |
Total Energy of Cycle and Some Cycle Related Graphs |
| Authors: |
Palani, K.; LalithaKumari, M.; Pandiselvi, L. |
| Source: |
Journal of Physics: Conference Series ; volume 1947, issue 1, page 012007 ; ISSN 1742-6588 1742-6596 |
| Publisher Information: |
IOP Publishing |
| Publication Year: |
2021 |
| Description: |
In this article we write algorithms and MATLAB programs to find the total energy of Cycle and some Cycle related graphs. The concept of total matrix and total energy of a graph G is introduced by K.Palani&M.Lalithakumari in [9]. Let G=(V, E) be a (p, q) simple graph. Let V ( G ) = { ν i / i = 1,2, … p } and E ( G ) = { e i / i = 1,2, … q }. The total matrix T = T ( G ) of G is a square matrix of order p + q whose (i, j)-entry is defined as: T = ( t i j ) = { 1 if v i adjacent to v j i ≠ j 1 if e i adjacent to e j i ≠ j 1 e i incident with v j 0 otherwise The Total Energy of a graph is the sum of absolute value of the eigen values of its Total matrix T ( G ). For any (p, q) graph G, the total number of eigen value is p+q. Let λ 1 , λ 2 , λ 3 , … λ p + q be the eigen values of T. Then total energy of G is T E = ∑ i + 1 p + q | λ i | . |
| Document Type: |
article in journal/newspaper |
| Language: |
unknown |
| DOI: |
10.1088/1742-6596/1947/1/012007 |
| DOI: |
10.1088/1742-6596/1947/1/012007/pdf |
| Availability: |
https://doi.org/10.1088/1742-6596/1947/1/012007; https://iopscience.iop.org/article/10.1088/1742-6596/1947/1/012007; https://iopscience.iop.org/article/10.1088/1742-6596/1947/1/012007/pdf |
| Rights: |
http://creativecommons.org/licenses/by/3.0/ ; https://iopscience.iop.org/info/page/text-and-data-mining |
| Accession Number: |
edsbas.1EC929BA |
| Database: |
BASE |