9 citations · 19 across the 12 of their papers we have counts for
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math.AT2016★ 1 cited
Discrete Morse theory and classifying spaces
Vidit Nanda, Dai Tamaki, Kohei Tanaka
The aim of this paper is to develop a refinement of Forman's discrete Morse theory. To an acyclic partial matching on a finite regular CW complex , Forman introduced a discr…
math.CO2016★ 9 cited
A combinatorial description of topological complexity for finite spaces
Kohei Tanaka
This paper presents a combinatorial analog of topological complexity for finite spaces. We demonstrate that this coincides with the genuine topological complexity of the original f…
math.CO2016
Minimal networks for sensor counting problem using discrete Euler calculus
Kohei Tanaka
This paper proposes a method to reduce noise in acyclic sensor networks enumerating targets using the integral theory with respect to Euler characteristic. For an acyclic network (…