Results 21 to 30 of about 4,479,442 (268)
Some chemical indices related to the number of triangles [PDF]
Transactions on Combinatorics, 2023 Many chemical indices have been invented in theoretical chemistry, such as the Zagreb index, the Lanzhou index, the forgotten index, the Estrada index etc.
Mihrigul Wali
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The trace and Estrada index of uniform hypergraphs with cut vertices [PDF]
Linear Algebra and its Applications, 2022 Let $\mathcal{H}$ be an $m$-uniform hypergraph, and let $\mathcal{A}(\mathcal{H})$ be the adjacency tensor of $\mathcal{H}$ which can be viewed as a system of homogeneous polynomials of degree $m-1$.
Yi-Zheng Fan +5 more
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The trace of uniform hypergraphs with application to Estrada index [PDF]
Discret. Math. Algorithms Appl., 2022 In this paper we investigate the traces of the adjacency tensor of hypergraphs (simply called the traces of hypergraphs). We give new expressions for the traces of hypertrees and linear unicyclic hypergraphs by the weight function assigned to their ...
Yi-Zheng Fan, Jian Zheng, Ya Yang
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Estrada index and subgraph centrality of hypergraphs via tensors [PDF]
Discrete Applied Mathematics, 2021 Uniform hypergraphs have a natural one-to-one correspondence to tensors. In this paper, we investigate the Estrada index and subgraph centrality of an $m$-uniform hypergraph $\mathcal{H}$ via the adjacency tensor. We establish some bounds for the Estrada
Hong Zhou, Lizhu Sun, Changjiang Bu
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Relating Estrada index with spectral radius [PDF]
Journal of the Serbian Chemical Society, 2007 The Estrada index EE is a recently proposed molecular structure-descriptor, used in the modeling of certain features of the 3D structure of organic molecules, in particular of the degree of folding of proteins and other long-chain biopolymers.
Gutman Ivan +4 more
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Laplacian Estrada and normalized Laplacian Estrada indices of evolving graphs. [PDF]
PLoS ONE, 2015 Large-scale time-evolving networks have been generated by many natural and technological applications, posing challenges for computation and modeling. Thus, it is of theoretical and practical significance to probe mathematical tools tailored for evolving
Yilun Shang
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The normalized signless laplacian estrada index of graphs [PDF]
Transactions on Combinatorics, 2023 Let $G$ be a simple connected graph of order $n$ with $m$ edges. Denote by $% \gamma _{1}^{+}\geq \gamma _{2}^{+}\geq \cdots \geq \gamma _{n}^{+}\geq 0$ the normalized signless Laplacian eigenvalues of $G$. In this work, we define the normalized signless
Ş. Burcu Bozkurt Altındağ +3 more
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The extremal t-uniform unicyclic hypergraph on Estrada index
Filomat, 2023 For a t-uniform hypergraph H = (V(H), E(H)), the Estrada index EE(H) of H is defined as ?i?[n] e?i, where ?1,..., ?n are the eigevalues of the adjacency matrix of H.
Yongde Feng +3 more
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Bounds for the distance Estrada index of graphs [PDF]
AIP Conference Proceedings, 2015 The D-eigenvalues μ_1,μ_2,...,μ_{n} of a connected graph G are the eigenvalues of its distance matrix. The distance Estrada index of G is defined in [15] as DEE=DEE(G)=Σ_{i=1}^n e^{μ_{i}} In this paper, we give better lower bounds for the distance Estrada index of any connected graph as well as some relations between DEE(G) and the distance energy.
Altındağ, Ş. Burcu Bozkurt +1 more
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On the spectral radius, energy and Estrada index of the Sombor matrix of graphs [PDF]
Transactions on Combinatorics, 2023 Let $G$ be a simple undirected graph with vertex set $V(G)=\{v_1, v_2,\ldots,v_n\}$ and edge set $E(G)$. The Sombor matrix $\mathcal{S}(G)$ of a graph $G$ is defined so that its $(i,j)$-entry is equal to $\sqrt{d_i^2+d_j^2}$ if the vertices $v_i$ and ...
Zhen Lin, Ting Zhou, Lianying Miao
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