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math.CO2009★ 7 cited
The tau constant and the edge connectivity of a metrized graph
Zubeyir Cinkir
The tau constant is an important invariant of a metrized graph, and it has applications in arithmetic properties of curves. We show how the tau constant of a metrized graph changes…
math.CO2009★ 4 cited
The tau constant of a metrized graph and its behavior under graph operations
Zubeyir Cinkir
This paper concerns the tau constant, which is an important invariant of a metrized graph, and which has applications to arithmetic properties of curves. We give several formulas f…