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_dfl001

LPnetlib/lp_dfl001
LPnetlib@lp_e226

LPnetlib/lp_e226
LPnetlib@lp_etamacro

LPnetlib/lp_etamacro
LPnetlib@lp_fffff800

LPnetlib/lp_fffff800
LPnetlib@lp_finnis

LPnetlib/lp_finnis
LPnetlib@lp_fit1d

LPnetlib/lp_fit1d
LPnetlib@lp_fit1p

LPnetlib/lp_fit1p
LPnetlib@lp_fit2d

LPnetlib/lp_fit2d
LPnetlib@lp_fit2p

LPnetlib/lp_fit2p
LPnetlib@lp_ganges

LPnetlib/lp_ganges
LPnetlib@lp_gfrd_pnc

LPnetlib/lp_gfrd_pnc
LPnetlib@lp_greenbea

LPnetlib/lp_greenbea
LPnetlib@lp_greenbeb

LPnetlib/lp_greenbeb
LPnetlib@lp_grow15

LPnetlib/lp_grow15
LPnetlib@lp_grow22

LPnetlib/lp_grow22
LPnetlib@lp_grow7

LPnetlib/lp_grow7
LPnetlib@lpi_bgdbg1

LPnetlib/lpi_bgdbg1
LPnetlib@lpi_bgetam

LPnetlib/lpi_bgetam
LPnetlib@lpi_bgindy

LPnetlib/lpi_bgindy
LPnetlib@lpi_bgprtr

LPnetlib/lpi_bgprtr

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