img
img
SSDE:: Fast graph drawing using sampled spectral distance embedding      
Yazarlar (3)
Prof. Dr. Ali ÇİVRİL Prof. Dr. Ali ÇİVRİL
Rensselaer Polytechnic Institute, Amerika Birleşik Devletleri
Malik Magdon-Ismail
Rensselaer Polytechnic Institute, Amerika Birleşik Devletleri
Eli Bocek-Rivele
Rensselaer Polytechnic Institute, Amerika Birleşik Devletleri
Devamını Göster
Özet
We present a fast spectral graph drawing algorithm for drawing undirected connected graphs. Classical Multi-Dimensional Scaling yields a quadratic-time spectral algorithm, which approximates the real distances of the nodes in the final drawing with their graph theoretical distances. We build from this idea to develop the linear-time spectral graph drawing algorithm SSDE. We reduce the space and time complexity of the spectral decomposition by approximating the distance matrix with the product of three smaller matrices, which are formed by sampling rows and columns of the distance matrix. The main advantages of our algorithm are that it is very fast and it gives aesthetically pleasing results, when compared to other spectral graph drawing algorithms. The runtime for typical 105 node graphs is about one second and for 106 node graphs about ten seconds.
Anahtar Kelimeler
Bildiri Türü Açık Erişim Tebliğ/Bildiri
Bildiri Alt Türü Tam Metin Olarak Yayınlanan Tebliğ (Uluslararası Kongre/Sempozyum)
Bildiri Niteliği Web of Science Kapsamındaki Kongre/Sempozyum
DOI Numarası 10.1007/978-3-540-70904-6_5
Bildiri Dili İngilizce
Kongre Adı
Kongre Tarihi /
Basıldığı Ülke
Basıldığı Şehir
Bildiri Linki https://link.springer.com/content/pdf/10.1007%2F978-3-540-70904-6_5.pdf
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
WoS 9
SCOPUS 11
Google Scholar 35
SSDE:: Fast graph drawing using sampled spectral distance embedding

Paylaş