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Documents authored by Sivakumar, Danesh

Artifact
Software
DOI: 10.4230/artifacts.25979
Proximity Alert: Ipelets for Neighborhood Graphs and Clustering

Authors: Gitan Balogh, June Cagan, Bea Fatima, Auguste H. Gezalyan, Danesh Sivakumar, Arushi Srinivasan, Yixuan Sun, Vahe Zaprosyan, and David M. Mount

Abstract
Cite as

Gitan Balogh, June Cagan, Bea Fatima, Auguste H. Gezalyan, Danesh Sivakumar, Arushi Srinivasan, Yixuan Sun, Vahe Zaprosyan, David M. Mount. Proximity Alert: Ipelets for Neighborhood Graphs and Clustering (Software, Source Code). Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2026)

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@misc{dagstuhl-artifact-25979,
   title = {{Proximity Alert: Ipelets for Neighborhood Graphs and Clustering}}, 
   author = {Balogh, Gitan and Cagan, June and Fatima, Bea and Gezalyan, Auguste H. and Sivakumar, Danesh and Srinivasan, Arushi and Sun, Yixuan and Zaprosyan, Vahe and Mount, David M.},
   note = {Software (visited on 2026-05-27)},
   url = {https://github.com/Otcavo/Ipelets-Full-Library},
   doi = {10.4230/artifacts.25979},
}
Artifact
Audiovisual
DOI: 10.4230/artifacts.25983
Proximity Alert: Ipelets for Neighborhood Graphs and Clustering

Authors: Gitan Balogh, June Cagan, Bea Fatima, Auguste H. Gezalyan, Danesh Sivakumar, Arushi Srinivasan, Yixuan Sun, Vahe Zaprosyan, and David M. Mount

Abstract
Cite as

Gitan Balogh, June Cagan, Bea Fatima, Auguste H. Gezalyan, Danesh Sivakumar, Arushi Srinivasan, Yixuan Sun, Vahe Zaprosyan, David M. Mount. Proximity Alert: Ipelets for Neighborhood Graphs and Clustering (Audiovisual, Video). Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2026)

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@misc{dagstuhl-artifact-25983,
   title = {{Proximity Alert: Ipelets for Neighborhood Graphs and Clustering}}, 
   author = {Balogh, Gitan and Cagan, June and Fatima, Bea and Gezalyan, Auguste H. and Sivakumar, Danesh and Srinivasan, Arushi and Sun, Yixuan and Zaprosyan, Vahe and Mount, David M.},
   note = {Audiovisual (visited on 2026-05-27)},
   url = {https://youtu.be/NQr-SY1x2qc},
   doi = {10.4230/artifacts.25983},
}
Document
Media Exposition
DOI: 10.4230/LIPIcs.SoCG.2026.99
Proximity Alert: Ipelets for Neighborhood Graphs and Clustering (Media Exposition)

Authors: Gitan Balogh, June Cagan, Bea Fatima, Auguste H. Gezalyan, Danesh Sivakumar, Arushi Srinivasan, Yixuan Sun, Vahe Zaprosyan, and David M. Mount

Published in: LIPIcs, Volume 367, 42nd International Symposium on Computational Geometry (SoCG 2026)

Abstract
Neighborhood graphs and clustering algorithms are fundamental structures in both computational geometry and data analysis. Visualizing them can help build insight into their behavior and properties. The Ipe extensible drawing editor, developed by Otfried Cheong, is a widely used software system for generating figures. One particular aspect of Ipe is the ability to add Ipelets, which extend its functionality. Here we showcase a set of Ipelets designed to help visualize neighborhood graphs and clustering algorithms. These include: ε-neighbor graphs, furthest-neighbor graphs, Gabriel graphs, k-nearest neighbor graphs, k-th-nearest neighbor graphs, k-mutual neighbor graphs, k-th-mutual neighbor graphs, asymmetric k-nearest neighbor graphs, asymmetric k-th-nearest neighbor graphs, relative-neighbor graphs, sphere-of-influence graphs, Urquhart graphs, Yao graphs, and clustering algorithms including complete-linkage, DBSCAN, HDBSCAN, k-means, k-means++, k-medoids, mean shift, and single-linkage. Our Ipelets are all programmed in Lua and are freely available.
Cite as

Gitan Balogh, June Cagan, Bea Fatima, Auguste H. Gezalyan, Danesh Sivakumar, Arushi Srinivasan, Yixuan Sun, Vahe Zaprosyan, and David M. Mount. Proximity Alert: Ipelets for Neighborhood Graphs and Clustering (Media Exposition). In 42nd International Symposium on Computational Geometry (SoCG 2026). Leibniz International Proceedings in Informatics (LIPIcs), Volume 367, pp. 99:1-99:8, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2026)

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@InProceedings{balogh_et_al:LIPIcs.SoCG.2026.99,
  author =	{Balogh, Gitan and Cagan, June and Fatima, Bea and Gezalyan, Auguste H. and Sivakumar, Danesh and Srinivasan, Arushi and Sun, Yixuan and Zaprosyan, Vahe and Mount, David M.},
  title =	{{Proximity Alert: Ipelets for Neighborhood Graphs and Clustering}},
  booktitle =	{42nd International Symposium on Computational Geometry (SoCG 2026)},
  pages =	{99:1--99:8},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-418-5},
  ISSN =	{1868-8969},
  year =	{2026},
  volume =	{367},
  editor =	{Ahn, Hee-Kap and Hoffmann, Michael and Nayyeri, Amir},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SoCG.2026.99},
  URN =		{urn:nbn:de:0030-drops-259058},
  doi =		{10.4230/LIPIcs.SoCG.2026.99},
  annote =	{Keywords: neighborhood graphs, clustering, proximity graphs, Ipelets, visualization}
}
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