Results 1 to 10 of about 4,385,040 (261)
Enumeration of the Multiplicative Degree-Kirchhoff Index in the Random Polygonal Chains. [PDF]
Molecules, 2022 Multiplicative degree-Kirchhoff index is a very interesting topological index. In this article, we compute analytical expression for the expected value of the Multiplicative degree-Kirchhoff index in a random polygonal. Based on the result above, we also
Zhu W, Geng X.
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Research on the Consensus Convergence Rate of Multi-Agent Systems Based on Hermitian Kirchhoff Index Measurement. [PDF]
Entropy (Basel)Multi-agent systems (MAS) typically model interaction topologies using directed or undirected graphs when analyzing consensus convergence rates. However, as system complexity increases, purely directed or undirected networks may be insufficient to ...
Deng H, Wu T.
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Evolution of Robustness in Growing Random Networks. [PDF]
Entropy (Basel), 2023 Networks are widely used to model the interaction between individual dynamic systems. In many instances, the total number of units and interaction coupling are not fixed in time, and instead constantly evolve.
Tyloo M.
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Extremal values on the Kirchhoff index of the line graph of trees
Kuwait Journal of ScienceThe computation of resistance distance and the Kirchhoff index is a classical problem that has been extensively investigated by numerous mathematicians, physicists, and scientists. Consider a simple connected graph G with vertex set V(G) and edge set E(G)
M. S. Sardar +2 more
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Complexity, 2022 Let Hn be the linear heptagonal networks with 2n heptagons. We study the structure properties and the eigenvalues of the linear heptagonal networks. According to the Laplacian polynomial of Hn, we utilize the method of decompositions. Thus, the Laplacian
Jia-Bao Liu +3 more
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Computing the Laplacian spectrum and Wiener index of pentagonal-derivation cylinder/Möbius network [PDF]
HeliyonThe Laplacian spectrum significantly contributes the study of the structural features of non-regular networks. Actually, it emphasizes the interaction among the network eigenvalues and their structural properties.
Ali U, Li J, Ahmad Y, Raza Z.
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On Laplacian resolvent energy of graphs [PDF]
Transactions on Combinatorics, 2023 Let $G$ be a simple connected graph of order $n$ and size $m$. The matrix $L(G)=D(G)-A(G)$ is the Laplacian matrix of $G$, where $D(G)$ and $A(G)$ are the degree diagonal matrix and the adjacency matrix, respectively. For the graph $G$, let $d_{1}\geq d_{
Sandeep Bhatnagar +2 more
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Enumeration of the Additive Degree–Kirchhoff Index in the Random Polygonal Chains
Axioms, 2022 The additive degree–Kirchhoff index is an important topological index. This paper we devote to establishing the explicit analytical expression for the simple formulae of the expected value of the additive degree–Kirchhoff index in a random polygon. Based
Xianya Geng, Wanlin Zhu
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Journal of Mathematics, 2022 It is well known that many topological indices have widespread use in lots of fields about scientific research, and the Kirchhoff index plays a major role in many different sectors over the years. Recently, Li et al. (Appl. Math. Comput.
Jia-Bao Liu +3 more
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Comparison of the Wiener and Kirchhoff Indices of Random Pentachains
Journal of Mathematics, 2021 Let G be a connected (molecule) graph. The Wiener index WG and Kirchhoff index KfG of G are defined as the sum of distances and the resistance distances between all unordered pairs of vertices in G, respectively.
Shouliu Wei +3 more
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