A note on Bartholdi zeta function and graph invariants based on resistance distance

DOI10.1016/j.disc.2017.11.018zbMath1378.05038OpenAlexW2778866376MaRDI QIDQ1690245

Yao-Ping Hou, De-Qiong Li

Publication date: 19 January 2018

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2017.11.018

zbMATH Keywords

complexityresistance distanceKirchhoff indexBartholdi zeta function

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Distance in graphs (05C12) Connectivity (05C40)

Related Items (1)

The partial differential coefficients for the second weighted Bartholdi zeta function of a graph

Cites Work

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• On the Ihara zeta function and resistance distance-based indices
• On a conjecture concerning spanning tree invariants and loop systems
• Bartholdi zeta functions of some graphs
• Resistance distance and the normalized Laplacian spectrum
• The weighted complexity and the determinant functions of graphs
• On the weighted complexity of a regular covering of a graph
• Bartholdi zeta functions of graph coverings
• Bartholdi zeta functions of digraphs
• A note on the zeta function of a graph
• Counting paths in graphs
• Bartholdi zeta functions of line graphs and middle graphs of graph coverings
• Zeta functions of finite graphs and coverings
• THE IHARA-SELBERG ZETA FUNCTION OF A TREE LATTICE

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