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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
Wanlin Zhu, Xianya Geng
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The Kirchhoff Index of Some Combinatorial Networks [PDF]
Discrete Dynamics in Nature and Society, 2015 The Kirchhoff index Kf(G) is the sum of the effective resistance distances between all pairs of vertices in G. The hypercube Qn and the folded hypercube FQn are well known networks due to their perfect properties. The graph G∗, constructed from G, is the
Jia-Bao Liu +3 more
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Bounds for the Kirchhoff Index of Bipartite Graphs [PDF]
Journal of Applied Mathematics, 2012 A -bipartite graph is a bipartite graph such that one bipartition has m vertices and the other bipartition has n vertices. The tree dumbbell consists of the path together with a independent vertices adjacent to one pendent vertex of and b independent ...
Yujun Yang
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Research on the Consensus Convergence Rate of Multi-Agent Systems Based on Hermitian Kirchhoff Index Measurement [PDF]
EntropyMulti-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 ...
He Deng, Tingzeng Wu
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Some Bounds for the Kirchhoff Index of Graphs [PDF]
Abstract and Applied Analysis, 2014 The resistance distance between two vertices of a connected graph G is defined as the effective resistance between them in the corresponding electrical network constructed from G by replacing each edge of G with a unit resistor.
Yujun Yang
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Evolution of Robustness in Growing Random Networks [PDF]
Entropy, 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.
Melvyn Tyloo
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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.
Umar Ali +3 more
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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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Kirchhoff Index and Degree Kirchhoff Index of Tetrahedrane-Derived Compounds
Symmetry, 2023 Tetrahedrane-derived compounds consist of n crossed quadrilaterals and possess complex three-dimensional structures with high symmetry and dense spatial arrangements. As a result, these compounds hold great potential for applications in materials science, catalytic chemistry, and other related fields.
Duoduo Zhao +4 more
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On the Kirchhoff matrix, a new Kirchhoff index and the Kirchhoff energy [PDF]
Journal of Inequalities and Applications, 2013 The main purpose of this paper is to define and investigate the Kirchhoff matrix, a new Kirchhoff index, the Kirchhoff energy and the Kirchhoff Estrada index of a graph. In addition, we establish upper and lower bounds for these new indexes and energy. In the final section, we point out a new possible application area for graphs by considering this new
CANGÜL, İSMAİL NACİ +3 more
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