54 citations · 123 across the 39 of their papers we have counts for
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math.CO2010★ 1 cited
On duality and fractionality of multicommodity flows in directed networks
Hiroshi Hirai, Shungo Koichi
In this paper we address a topological approach to multiflow (multicommodity flow) problems in directed networks. Given a terminal weight , we define a metrized polyhedral compl…
math.MG2010★ 3 cited
On tight spans and tropical polytopes for directed distances
Hiroshi Hirai, Shungo Koichi
An extension of a metric space is a metric space with and , and is said to be tight if there is no other extension of wit…