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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LPnetlib@lp_scfxm1

LPnetlib/lp_scfxm1
LPnetlib@lp_scfxm2

LPnetlib/lp_scfxm2
LPnetlib@lp_scfxm3

LPnetlib/lp_scfxm3
LPnetlib@lp_scorpion

LPnetlib/lp_scorpion
LPnetlib@lp_scrs8

LPnetlib/lp_scrs8
LPnetlib@lp_scsd1

LPnetlib/lp_scsd1
LPnetlib@lp_scsd6

LPnetlib/lp_scsd6
LPnetlib@lp_scsd8

LPnetlib/lp_scsd8
LPnetlib@lp_sctap1

LPnetlib/lp_sctap1
LPnetlib@lp_sctap2

LPnetlib/lp_sctap2
LPnetlib@lp_sctap3

LPnetlib/lp_sctap3
LPnetlib@lp_share1b

LPnetlib/lp_share1b
LPnetlib@lp_share2b

LPnetlib/lp_share2b
LPnetlib@lp_shell

LPnetlib/lp_shell
LPnetlib@lp_ship04l

LPnetlib/lp_ship04l
LPnetlib@lp_ship04s

LPnetlib/lp_ship04s
LPnetlib@lp_ship08l

LPnetlib/lp_ship08l
LPnetlib@lp_ship08s

LPnetlib/lp_ship08s
LPnetlib@lp_ship12l

LPnetlib/lp_ship12l
LPnetlib@lp_ship12s

LPnetlib/lp_ship12s

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