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@fs_760_3

HB/fs_760_3
HB@gemat1

HB/gemat1
HB@gemat11

HB/gemat11
HB@gemat12

HB/gemat12
HB@gent113

HB/gent113
HB@gr_30_30

HB/gr_30_30
HB@gre_1107

HB/gre_1107
HB@gre_115

HB/gre_115
HB@gre_185

HB/gre_185
HB@gre_216a

HB/gre_216a
HB@gre_216b

HB/gre_216b
HB@gre_343

HB/gre_343
HB@gre_512

HB/gre_512
HB@hor_131

HB/hor_131
HB@ibm32

HB/ibm32
HB@illc1033

HB/illc1033
HB@illc1850

HB/illc1850
HB@impcol_a

HB/impcol_a
HB@impcol_b

HB/impcol_b
HB@impcol_c

HB/impcol_c

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