Resistance distance in directed cactus graphs

zbMath1444.05060arXiv1911.05951MaRDI QIDQ3299337

Shivani Goel, Ramamurthy Balaji, Ravindra B. Bapat

Publication date: 22 July 2020

Full work available at URL: https://arxiv.org/abs/1911.05951

zbMATH Keywords

Moore-Penrose inverseLaplacian matrixcofactor sumsdirected cactus graphstrongly connected balanced digraph

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Distance in graphs (05C12) Directed graphs (digraphs), tournaments (05C20) Connectivity (05C40)

Related Items (5)

Circular Planar Electrical Networks, Split Systems, and Phylogenetic Networks ⋮ 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 ⋮ Polynomial invariants for cactuses ⋮ Resistance distance in connected balanced digraphs

Cites Work

• Inverse of the distance matrix of a cactoid digraph
• Eigenvalues of rank-one updated matrices with some applications
• A Combinatorial Proof of the All Minors Matrix Tree Theorem
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