Zobrazeno 1 - 10
of 130
pro vyhledávání: '"gutman index"'
Publikováno v:
AIMS Mathematics, Vol 9, Iss 11, Pp 30454-30471 (2024)
In this paper, we solved some open problems on general Gutman index. More precisely, we characterized unicyclic graphs with extremal general Gutman index for some $ a $ and $ b $. We presented a sharp bound on general Gutman index of $ G $ in terms o
Externí odkaz:
https://doaj.org/article/248d9910751c41bca19f334bbbdfa267
Publikováno v:
AIMS Mathematics, Vol 9, Iss 6, Pp 14594-14617 (2024)
In this paper, we focus on the strong product of the pentagonal networks. Let $ R_{n} $ be a hexagonal network composed of $ 2n $ pentagons and $ n $ quadrilaterals. Let $ P_{n}^{2} $ denote the graph formed by the strong product of $ R_{n} $ and its
Externí odkaz:
https://doaj.org/article/779c331eb6954f6eb991ac5351725a27
Akademický článek
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Autor:
Yinzhen Mei, Hongli Miao
Publikováno v:
Axioms, Vol 13, Iss 4, p 269 (2024)
The Wiener index is one of the most classic and widely used indicators in topology. It reflects the average distance of any node pair in the graph. It not only makes the boundaries of given graphs clearer but also continuously generates topological i
Externí odkaz:
https://doaj.org/article/377929af8e8b4ebca5006aa04c9c740b
Publikováno v:
Axioms, Vol 13, Iss 8, p 518 (2024)
The study of complex networks with topological indices has flourished in recent years. The aim of this paper is to study the limiting behaviors of Gutman and Schultz indices in random polygonal chains, whose graph-theoretic mathematical properties an
Externí odkaz:
https://doaj.org/article/7d4f2b6aa0174e558c4a9668239f4287
Publikováno v:
Mathematical Biosciences and Engineering, Vol 19, Iss 11, Pp 10826-10845 (2022)
The Gutman index and Schultz index of a connected graph are degree-distance-based topological indices. In this paper, we devoted to establish the explicit analytical expressions for the simple formulae of the expected values of the Gutman and Schultz
Externí odkaz:
https://doaj.org/article/98ec1e2013b740299f4d0230e24c6b5e
Publikováno v:
Heliyon, Vol 8, Iss 12, Pp e12382- (2022)
Topological invariants are numerical parameters of graphs or hypergraphs that indicate its topology and are known as graph or hypergraph invariants. In this paper, topological indices of hypergraphs such as Wiener index, degree distance index and Gut
Externí odkaz:
https://doaj.org/article/a5aecadd11634afe84180af7245a2a19
Publikováno v:
Symmetry, Vol 15, Iss 11, p 1971 (2023)
In recent years, the research on complex networks has created a boom. The objective of the present paper is to study a random cyclooctatetraene chain whose graph-theoretic mathematical properties arose scientists’ interests. By applying the concept
Externí odkaz:
https://doaj.org/article/23040939a61646f680115a9f1600ad30
Autor:
Yuqing Zhang, Xiaoling Ma
Publikováno v:
Axioms, Vol 12, Iss 10, p 945 (2023)
A novel distance function named resistance distance was introduced on the basis of electrical network theory. The resistance distance between any two vertices u and v in graph G is defined to be the effective resistance between them when unit resisto
Externí odkaz:
https://doaj.org/article/b6b5b871013a494c9e59f4022d65d316
Autor:
Weijun Liu, Jiaqiu Wang
Publikováno v:
Symmetry, Vol 15, Iss 2, p 556 (2023)
For a connected graph G with vertex set V, denote by d(v) the degree of vertex v and d(u, v) the distance between u and v. The value Gut(G)=∑{u,v}⊆Vd(u)d(v)d(u,v) is called the Gutman index of G. Recently, the graph minimizing the Gutman index am
Externí odkaz:
https://doaj.org/article/cc3235fb53fb4c51900977c88ac528f5