Hypergraph Splitting-Off via Element-Connectivity Preserving Reductions
Karthekeyan Chandrasekaran, Chandra Chekuri, Shubhang Kulkarni
TL;DR
This paper presents an alternative proof for a hypergraph splitting-off procedure by using element-connectivity preserving reduction operations in graphs, offering new insights into hypergraph connectivity preservation.
Contribution
It introduces a novel proof technique for hypergraph splitting-off using element-connectivity preserving reductions, expanding the theoretical understanding of hypergraph connectivity.
Findings
Provides an alternative proof for hypergraph splitting-off
Utilizes element-connectivity preserving reductions in graphs
Enhances understanding of hypergraph connectivity preservation
Abstract
B\'erczi, Chandrasekaran, Kir\'aly, and Kulkarni (ICALP 2024) recently described a splitting-off procedure in hypergraphs that preserves local-connectivity and outlined some applications. In this note we give an alternative proof via element-connectivity preserving reduction operations in graphs.
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