Zobrazeno 1 - 9
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pro vyhledávání: '"Kalpesh M. Popat"'
Autor:
S. K. Vaidya, Kalpesh M. Popat
Publikováno v:
AKCE International Journal of Graphs and Combinatorics, Vol 17, Iss 3, Pp 877-882 (2020)
For a graph G with n vertices and m edges, the eigenvalues of its adjacency matrix A(G) are known as eigenvalues of G. The sum of absolute values of eigenvalues of G is called the energy of G. The Laplacian matrix of G is defined as where D(G) is the
Externí odkaz:
https://doaj.org/article/4530a69a21e84501948cd7865ca88d89
Autor:
Kalpesh M. Popat, Kunal R. Shingala
Let $G_S$ be the graph of order $n$ and containing $\sigma$ self-loops. The energy $E(G_S)$ of graph $G_S$ is defined as $E(G_S)=\displaystyle\sum_{i=1}^{n}\bigg\lvert\lambda_i-\dfrac{\sigma}{n}\bigg\rvert$, where $\lambda_1, \lambda_2, \dots, \lambd
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::740f056e9aaff73d740f7a68b87f4e14
https://doi.org/10.21203/rs.3.rs-2831568/v1
https://doi.org/10.21203/rs.3.rs-2831568/v1
Autor:
Kalpesh M. Popat, Kunal R. Shingala
Note: Please see pdf for full abstract with equations. The graph Gσ is obtained from graph G by attaching self loops onσ vertices. The energy E(Gσ) of the graph Gσ with order n and eigenvalues λ1, λ2, . . . , λn is defined as sum of absoute va
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::19df4b658a7fbc7aecbb2562160bd077
https://doi.org/10.21203/rs.3.rs-2519919/v1
https://doi.org/10.21203/rs.3.rs-2519919/v1
Autor:
Samir K. Vaidya, Kalpesh M. Popat
Publikováno v:
Kragujevac Journal of Mathematics. 45:873-880
If a graph G of order n has the Laplacian energy same as that of complete graph Kn then G is said to be L-borderenergeic graph. It is interesting and challenging as well to identify the graphs which are L-borderenergetic as only few graphs are known
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d4675462a5e4c721f9799e4816c6f609
https://doi.org/10.46793/kgjmat2106.873v
https://doi.org/10.46793/kgjmat2106.873v
Autor:
Kalpesh M. Popat, Samir K. Vaidya
Publikováno v:
Kragujevac Journal of Mathematics. 44:523-532
The eigenvalue of a graph G is the eigenvalue of its adjacency matrix and the energy E(G) is the sum of absolute values of eigenvalues of graph G. Two non-isomorphic graphs G1 and G2 of the same order are said to be equienergetic if E(G1) = E(G2). Th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b556f81ec5e5b0b1b1d88b158ed450fd
https://doi.org/10.46793/kgjmat2004.523v
https://doi.org/10.46793/kgjmat2004.523v
Autor:
Kalpesh M. Popat, Samir K. Vaidya
Publikováno v:
AKCE International Journal of Graphs and Combinatorics, Vol 17, Iss 3, Pp 877-882 (2020)
For a graph G with n vertices and m edges, the eigenvalues of its adjacency matrix A(G) are known as eigenvalues of G. The sum of absolute values of eigenvalues of G is called the energy of G. The Laplacian matrix of G is defined as where D(G) is the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9d249ff6ef76759ef621958fc6f08290
https://doi.org/10.1016/j.akcej.2019.06.012
https://doi.org/10.1016/j.akcej.2019.06.012
Autor:
Samir K. Vaidya, Kalpesh M. Popat
Publikováno v:
Proyecciones (Antofagasta). 38:837-847
The graphs whose energy is same as that of complete graphs are known as borderenergetic graphs. We propose a procedure for the construction of borderenergetic graphs and investigate three sequences of borderenergetic graphs.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fd1a329316f159e0b4fa44ec842b5071
https://doi.org/10.22199/issn.0717-6279-2019-04-0055
https://doi.org/10.22199/issn.0717-6279-2019-04-0055
Autor:
Samir K. Vaidya, Kalpesh M. Popat
Publikováno v:
Far East Journal of Mathematical Sciences (FJMS). 102:1571-1578
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::35f235e5d21e968b9a3dc139541e2c8a
https://doi.org/10.17654/ms102081571
https://doi.org/10.17654/ms102081571