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 2218 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 (Schenk@nlpkkt240) has 27,993,600 vertices and 366,327,376 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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GHS_psdef@cvxbqp1

GHS_psdef/cvxbqp1
GHS_psdef@finance256

GHS_psdef/finance256
GHS_psdef@ford1

GHS_psdef/ford1
GHS_psdef@ford2

GHS_psdef/ford2
GHS_psdef@gridgena

GHS_psdef/gridgena
GHS_psdef@hood

GHS_psdef/hood
GHS_psdef@inline_1

GHS_psdef/inline_1
GHS_psdef@jnlbrng1

GHS_psdef/jnlbrng1
GHS_psdef@ldoor

GHS_psdef/ldoor
GHS_psdef@minsurfo

GHS_psdef/minsurfo
GHS_psdef@obstclae

GHS_psdef/obstclae
GHS_psdef@oilpan

GHS_psdef/oilpan
GHS_psdef@opt1

GHS_psdef/opt1
GHS_psdef@pds10

GHS_psdef/pds10
GHS_psdef@pwt

GHS_psdef/pwt
GHS_psdef@ramage02

GHS_psdef/ramage02
GHS_psdef@s3dkq4m2

GHS_psdef/s3dkq4m2
GHS_psdef@s3dkt3m2

GHS_psdef/s3dkt3m2
GHS_psdef@srb1

GHS_psdef/srb1
GHS_psdef@torsion1

GHS_psdef/torsion1

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