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@west0497

HB/west0497
HB@west0655

HB/west0655
HB@west0989

HB/west0989
HB@west1505

HB/west1505
HB@west2021

HB/west2021
HB@will199

HB/will199
HB@will57

HB/will57
HB@wm1

HB/wm1
HB@wm2

HB/wm2
HB@wm3

HB/wm3
HB@young1c

HB/young1c
HB@young2c

HB/young2c
HB@young3c

HB/young3c
HB@young4c

HB/young4c
HB@zenios

HB/zenios
Hohn@fd12

Hohn/fd12
Hohn@fd15

Hohn/fd15
Hohn@fd18

Hohn/fd18
Hohn@sinc12

Hohn/sinc12
Hohn@sinc15

Hohn/sinc15

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