A gallery of large graphs

graph drawing of matrices in the University of Florida Collection

Graph visualization is a way to discover and visualize structures in complex relations. What sort of structures are people who do large scale computation studying? We can get a glimpse by visualizing the thousands of sparse matrices submitted to the University of Florida Sparse Matrix collection. The resulting gallery contains the drawing of graphs as represented by 1890 sparse matrices in this collection. Each of these sparse matrices (for rectangular matrix, an augmented matrix is formed first) is viewed as the adjacency matrix of an undirected graph, and is laid out by a multilevel graph drawing algorithm. If the graph is disconnected, then the largest connected component is drawn. The largest graph has 8863287 vertices and 44185251 edges. A simple coloring scheme is used: if the matrix has real entries, coloring is based on the entry value, otherwise it is based on the edge length.

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Oberwolfach@t2dal_bci

Oberwolfach/t2dal_bci
Oberwolfach@t2dal_e

Oberwolfach/t2dal_e
Oberwolfach@t3dh

Oberwolfach/t3dh
Oberwolfach@t3dh_a

Oberwolfach/t3dh_a
Oberwolfach@t3dh_e

Oberwolfach/t3dh_e
Oberwolfach@t3dl

Oberwolfach/t3dl
Oberwolfach@t3dl_a

Oberwolfach/t3dl_a
Oberwolfach@t3dl_e

Oberwolfach/t3dl_e
Oberwolfach@windscreen

Oberwolfach/windscreen
Okunbor@aft01

Okunbor/aft01
Okunbor@aft02

Okunbor/aft02
Pajek@California

Pajek/California
Pajek@Cities

Pajek/Cities
Pajek@CSphd

Pajek/CSphd
Pajek@dictionary28

Pajek/dictionary28
Pajek@divorce

Pajek/divorce
Pajek@EAT_RS

Pajek/EAT_RS
Pajek@EAT_SR

Pajek/EAT_SR
Pajek@EPA

Pajek/EPA
Pajek@Erdos02

Pajek/Erdos02

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