Zobrazeno 1 - 10
of 217
pro vyhledávání: '"Second Zagreb index"'
Autor:
A. P. Pushpalatha, S. Suganthi
Publikováno v:
Journal of Mechanics of Continua and Mathematical Sciences, Vol 19, Iss 4, Pp 12-28 (2024)
A simple, finite and connected graph is denoted by G=(V,E). The primary Zagreb index, denoted as M1(G), characterizes the graph topologically by representing a squared degree sum of their vertices. Similarly, M2(G) denotes a second Zagreb index, that
Externí odkaz:
https://doaj.org/article/b1b0fc5c378441289cad31eae34ebf5f
Autor:
Ziyang Zhao, Zunzheng Chen
Publikováno v:
Mathematics Open, Vol 04, Iss (2025)
The second Zagreb index and co-index are two important graph invariants. They are defined as [Formula: see text] and [Formula: see text], respectively, where [Formula: see text] is the complement of G and [Formula: see text] is the degree of a vertex
Externí odkaz:
https://doaj.org/article/1dcea9d93ee44384b1c65d9d3c515961
Publikováno v:
Heliyon, Vol 10, Iss 16, Pp e36110- (2024)
The Zagreb indices (ZIs) are important graph invariants that are used extensively in many different fields in mathematics and chemistry, such as network theory, spectral graph theory, fuzzy graph theory (FGT) and molecular chemistry, etc. The hyper-Z
Externí odkaz:
https://doaj.org/article/6e8d25d1e6ce43bd959e53bf2853d000
Publikováno v:
Transactions on Combinatorics, Vol 12, Iss 1, Pp 1-10 (2023)
Chemical study regarding total $\pi$-electron energy with respect to conjugated molecules has focused on the second Zagreb index of graphs. Moreover, in the last half-century, it has gotten a lot of attention. The relationship between the Roman domin
Externí odkaz:
https://doaj.org/article/1b00105e64094510b3e5d7ac9e91cf00
Autor:
Liju Alex, Gopalapillai Indulal
Publikováno v:
Ural Mathematical Journal, Vol 9, Iss 1 (2023)
The first and second Zagreb indices, since its inception have been subjected to an extensive research in the physio- chemical analysis of compounds. In [6] Hanyuan Deng et.al computed the first and second Zagreb indices of four new operations on a gr
Externí odkaz:
https://doaj.org/article/699301fa0ce74a619d4aea24c306a768
Publikováno v:
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 30, Iss 2, Pp 133-160 (2022)
The set Si,n = {0, 1, 2, …, i − 1, i + 1, …, n − 1, n}, 1 ⩽ i ⩽ n, is called Laplacian realizable if there exists a simple connected undirected graph whose Laplacian spectrum is Si,n. The existence of such graphs was established by S. Fal
Externí odkaz:
https://doaj.org/article/aa0a07e498624681862c51b1f503f37c
Autor:
José M. Sigarreta
Publikováno v:
Mathematical Biosciences and Engineering, Vol 19, Iss 7, Pp 6985-6995 (2022)
In this work we obtain new lower and upper optimal bounds for general (exponential) indices of a graph. In the same direction, we show new inequalities involving some well-known topological indices like the generalized atom-bound connectivity index $
Externí odkaz:
https://doaj.org/article/290f01c7d059421ca800c9fdef00df6b
Publikováno v:
Transactions on Combinatorics, Vol 10, Iss 3, Pp 137-148 (2021)
The graph invariant $RM_2$, known under the name reduced second Zagreb index, is defined as $RM_2(G)=\sum_{uv\in E(G)}(d_G(u)-1)(d_G(v)-1)$, where $d_G(v)$ is the degree of the vertex $v$ of the graph $G$. In this paper,
Externí odkaz:
https://doaj.org/article/e243fc0dfc114ae687023dab5c4374e5
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