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cs.CG2022
Distance Measures for Geometric Graphs
Sushovan Majhi, Carola Wenk
A geometric graph is a combinatorial graph, endowed with a geometry that is inherited from its embedding in a Euclidean space. Formulation of a meaningful measure of (dis-)similari…
math.AT2022
Vietoris$\unicode{x2013}$Rips Complexes of Metric Spaces Near a Metric Graph
Sushovan Majhi
For a sufficiently small scale , the Vietoris$\unicode{x2013}$Rips complex of a metric space with a small Gromov$\unicode{x2013}$Hausdorff distance to a…