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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HB@shl_200

HB/shl_200
HB@shl_400

HB/shl_400
HB@sstmodel

HB/sstmodel
HB@steam1

HB/steam1
HB@steam2

HB/steam2
HB@steam3

HB/steam3
HB@str_0

HB/str_0
HB@str_200

HB/str_200
HB@str_400

HB/str_400
HB@str_600

HB/str_600
HB@watt_1

HB/watt_1
HB@watt_2

HB/watt_2
HB@well1033

HB/well1033
HB@well1850

HB/well1850
HB@west0067

HB/west0067
HB@west0132

HB/west0132
HB@west0156

HB/west0156
HB@west0167

HB/west0167
HB@west0381

HB/west0381
HB@west0479

HB/west0479

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