Resistance distances in corona and neighborhood corona networks based on Laplacian generalized inverse approach

DOI10.1142/S0219498819500531zbMath1414.05248OpenAlexW2789572801MaRDI QIDQ5383827

Shaohui Wang, Jia-Bao Liu, Cao, Jinde

Publication date: 20 June 2019

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498819500531

zbMATH Keywords

Schur complementgeneralized inverseMoore-Penrose inverseLaplacian matrixresistance distance

Mathematics Subject Classification ID

Distance in graphs (05C12) Graph algorithms (graph-theoretic aspects) (05C85) Graph operations (line graphs, products, etc.) (05C76)

Related Items (6)

Resistance distance in tensor and strong product of path or cycle graphs based on the generalized inverse approach ⋮ Resistance distance of generalized wheel and dumbbell graph using symmetric {1}-inverse of Laplacian matrix ⋮ Resistance distance in potting networks ⋮ On the generalized adjacency, Laplacian and signless Laplacian spectra of the weighted edge corona networks ⋮ On the resistance diameter of hypercubes ⋮ Resistance distance in \(H\)-join of graphs \(G_1,G_2,\dots,G_k\)

Cites Work

• Some extremal graphs with respect to inverse degree
• Comparison theorems on resistance distances and Kirchhoff indices of \(S,T\)-isomers
• Spectra of coronae
• Complete characterization of bicyclic graphs with minimal Kirchhoff index
• Minimizing Kirchhoff index among graphs with a given vertex bipartiteness
• Spectra of subdivision-vertex and subdivision-edge neighbourhood coronae
• Resistance distance in subdivision-vertex join and subdivision-edge join of graphs
• Sharp upper bounds for multiplicative Zagreb indices of bipartite graphs with given diameter
• On extremal multiplicative Zagreb indices of trees with given number of vertices of maximum degree
• A recursion formula for resistance distances and its applications
• The Kirchhoff index of subdivisions of graphs
• Some results on resistance distances and resistance matrices
• Ordering connected graphs by their Kirchhoff indices
• The {1}-inverse of the Laplacian of subdivision-vertex and subdivision-edge coronae with applications
• Spectra of the subdivision-vertex and subdivision-edge coronae
• Some physical and chemical indices of clique-inserted lattices
• A note on ‘some physical and chemical indices of clique-inserted lattices’
• Some rules on resistance distance with applications
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