The tau constant and the discrete Laplacian matrix of a metrized graph

DOI10.1016/j.ejc.2011.01.008zbMath1226.05153arXiv0902.3401OpenAlexW1975795869MaRDI QIDQ2430980

Zübeyir Çınkır

Publication date: 8 April 2011

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.3401

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items

Families of metrized graphs with small tau constants, Admissible invariants of genus 3 curves, Zhang's conjecture and the effective Bogomolov conjecture over function fields, The tau constant and the discrete Laplacian matrix of a metrized graph, The walk distances in graphs, Computation of polarized metrized graph invariants by using discrete Laplacian matrix, Lower bounds on the arithmetic self-intersection number of the relative dualizing sheaf on arithmetic surfaces

Uses Software

• Mathematica

Cites Work

• The tau constant of a metrized graph and its behavior under graph operations
• Admissible pairing on a curve
• Capacity theory on algebraic curves
• Laplacian matrices of graphs: A survey
• The tau constant and the edge connectivity of a metrized graph
• The tau constant and the discrete Laplacian matrix of a metrized graph
• Gross-Schoen cycles and dualising sheaves
• The capacity pairing.
• Harmonic Analysis on Metrized Graphs
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