45 citations · 163 across the 16 of their papers we have counts for
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math.AC2016★ 3 cited
Symmetric Polynomials in Tropical Algebra Semirings
Sara Kalisnik Verovsek, Davorin Lesnik
The growth of tropical geometry has generated significant interest in the tropical semiring in the past decade. However, there are other semirings in tropical algebra that provide…
math.AT2016★ 14 cited
Parametrized Homology via Zigzag Persistence
Gunnar Carlsson, Vin de Silva, Sara Kalisnik +1
This paper develops the idea of homology for 1-parameter families of topological spaces. We express parametrized homology as a collection of real intervals with each corresponding…
math.AT2016★ 45 cited
Tropical Coordinates on the Space of Persistence Barcodes
Sara Kalisnik Verovsek
The aim of applied topology is to use and develop topological methods for applied mathematics, science and engineering. One of the main tools is persistent homology, an adaptation…