Kirchhoff index
Extremal Phenylene Chains with Respect to the Kirchhoff Index and Degree-based Topological Indices
... In this section, we aim to characterize extremal phenylene chains with respect to the Kirchhoff index. In the characteri- zation of extremal phenylene chains, the comparison theorem on the Kirchhoff ...
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Resistance Distance and Kirchhoff Index of Two Edge-subdivision Corona Graphs
... Abstract—In this work we first obtain the group inverse of the edge-subdivision-vertex corona and edge-subdivision-edge corona in terms of the group inverse of the factor graphs. Then the resistance distance and ...
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On Relation between the Kirchhoff Index and Laplacian-Energy-Like Invariant of Graphs
... [36] S. Pirzada, H. A. Ganie, I. Gutman, On Laplacian–energy–like invariant and Kirchhoff index, MATCH Commun. Math. Comput. Chem. 73 (2015) 41–59. [37] S. Pirzada, H. A. Ganie, I. Gutman, Comparison ...
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Some Results of Resistance Distance and Kirchhoff Index Based on R-Graph
... This paper is organized as follows. In Section 2, some auxiliary lemma are given. In Section 3, we obtain formulas for resistance distances of R-vertex corona and R-edge corona of two arbitrary graphs. In Section 4, we ...
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Computing the additive degree-Kirchhoff index with the Laplacian matrix
... 9. S. Huang, J. Zhou and C. Bu, Some results on Kirchhoff index and degree– Kirchhoff index, MATCH Commun. Math. Comput. Chem. 75 (2016) 207–222. 10. D. J. Klein and M. Randi'c, Resistance ...
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Resistance Distance and Kirchhoff Index of Graphs with Pockets
... and Kirchhoff index of R-vertex join and R-edge join of two ...and Kirchhoff index G = G [ F, V k , H v ] and G = G [ F, E k , H uv ] in terms of the ...
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The Laplacian Polynomial and Kirchhoff Index of the k-th Semi Total Point Graphs
... the Kirchhoff index of R k (G ) , G is regular, by using the results obtained in the previous section ...the Kirchhoff and the Laplacian eigenvalues of a graph : ...
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Some inequalities for the Kirchhoff index of graphs
... Considering the fact that obtaining the exact and easy to compute formula for the Kirchhoff index is not always possible, it is useful to know approximating expressions, i.e. upper and lower bounds and ...
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Retracted Article: On the Kirchhoff matrix, a new Kirchhoff index and the Kirchhoff energy
... By considering Kf L (G), it is actually easy to rewrite the new Kirchhoff index, defined in (), as a new form. In fact, this shows that Kf + (G) is completely determined by the Kirchhoff-Laplacian spectrum. In ...
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Random walks, effective resistance and neighbourhood statistics in binomial random graphs
... The first part of the thesis is concerned with effective resistance and param- eters related to vertex hitting times of random walks on G(n, p). We calculate the effective resistance R(i, j) between two vertices i, j of ...
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Topological atomic displacements, Kirchhoff and Wiener indices of molecules
... topological index along the line of this strategy was developed by Klein and Randić, who defined the so-called Kirchhoff index, Kf ...The Kirchhoff index is defined in an analogous way ...
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The KT Jeang Retrovirology prize 2016: Frank Kirchhoff
... 1994, Kirchhoff established an independent research group at the Institute of Clinical and Molecular Virol- ogy (University of Erlangen) under the directorship of Bernhard ...of Kirchhoff`s first boss, ...
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A Kirchhoff plate formulation in a state-based peridynamic framework
... This study presents a new state-based peridynamic formulation for Kirchhoff plate theory. The constitutive equation is obtained by utilizing the strain energy density of a material point in the form of curvatures ...
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Optimization related to some nonlocal problems of Kirchhoff type
... OPTIMIZATION RELATED TO SOME NONLOCAL PROBLEMS OF KIRCHHOFF TYPE MOHSEN ZIVARI-REZAPOUR, AMIN FARJUDIAN, AND BEHROUZ EMAMIZADEH.. In this paper we introduce two rearrangement optimizatio[r] ...
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Long-Time Behavior of Solutions for a Class of Nonlinear Higher Order Kirchhoff Equation
... [16] Yuting Sun, Yunlong Gao, Guoguang Lin. The global attractor for the higher-order Kirchhoff-type equation with nonlinear strongly damped term [J]. International Journal of Modern Nonlinear Theory and ...
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Kirchhoff plate modelling using finite element method
... As mentioned in the second paragraph before, one of the applications of FEM is the formulation of plate elements. Plate elements can be formulated and modelled mathematically based on the Kirchhoff plate theory. ...
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On Kirchhoff Problems Involving Critical Exponent and Critical Growth
... In this paper, we establish the existence of multiple solutions to a class of Kirchhoff type equations involving critical exponent, concave term and critical growth.. Our main tools are [r] ...
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Nontrivial solutions for Schrödinger-Kirchhoff-type problem in RN
... Remark In [], Wu considered the superlinear nonlinearity case and obtained the ex- istence of nontrivial solutions for problem (.) under the same conditions of our Corol- lary . wi[r] ...
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A variational inequality of Kirchhoff type in \(\mathbb{R}^{N}\)
... 4 Conclusion In this article, the existence of nontrivial radial solutions to problem Q is established by using the variational methods under suitable conditions.. We consider a variatio[r] ...
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Existence of nontrivial solutions for p-Kirchhoff type equations
... began to attract the attention of several researchers only after Lion [] had proposed an abstract framework for this problem. Perera and Zhang [] obtained a nontrivial solution of () by using the Yang index and ...
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