Eigenvalues of the resistance-distance matrix of complete multipartite graphs

DOI10.1186/s13660-017-1570-1zbMath1376.05082OpenAlexW2769238390WikidataQ47141264 ScholiaQ47141264MaRDI QIDQ1684615

Yujun Yang, Kinkar Chandra Das

Publication date: 11 December 2017

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

Full work available at URL: https://doi.org/10.1186/s13660-017-1570-1

zbMATH Keywords

resistance distancelargest resistance-distance eigenvalueresistance-distance matrixsecond largest resistance-distance eigenvalue

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Distance in graphs (05C12)

Related Items (7)

Computation of resistance distance and Kirchhoff index of chain of triangular bipyramid hexahedron ⋮ Computation of resistance distance with Kirchhoff index of body centered cubic structure ⋮ Unnamed Item ⋮ Resistance distance of blowups of trees ⋮ On the resistance diameter of hypercubes ⋮ Solution to a conjecture on a Nordhaus-Gaddum type result for the Kirchhoff index ⋮ Every nonsingular spherical Euclidean distance matrix is a resistance distance matrix

Cites Work

• Unnamed Item
• On the resistance matrix of a graph
• Resistance distance in complete \(n\)-partite graphs
• On maximal entries in the principal eigenvector of graphs
• Resistance distance in subdivision-vertex join and subdivision-edge join of graphs
• Resistance distance and Kirchhoff index of \(R\)-vertex join and \(R\)-edge join of two graphs
• Resistance distances and the Kirchhoff index in double graphs
• Resistance distances in composite graphs
• Some results on resistance distances and resistance matrices
• Some rules on resistance distance with applications
• Two-Point Resistance of a Cobweb Network with a 2 r Boundary

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