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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Meszaros@problem

Meszaros/problem
Meszaros@progas

Meszaros/progas
Meszaros@qiulp

Meszaros/qiulp
Meszaros@r05

Meszaros/r05
Meszaros@rat

Meszaros/rat
Meszaros@refine

Meszaros/refine
Meszaros@rlfddd

Meszaros/rlfddd
Meszaros@rlfdual

Meszaros/rlfdual
Meszaros@rlfprim

Meszaros/rlfprim
Meszaros@rosen1

Meszaros/rosen1
Meszaros@rosen10

Meszaros/rosen10
Meszaros@rosen2

Meszaros/rosen2
Meszaros@rosen7

Meszaros/rosen7
Meszaros@rosen8

Meszaros/rosen8
Meszaros@route

Meszaros/route
Meszaros@sc205-2r

Meszaros/sc205-2r
Meszaros@scagr7-2b

Meszaros/scagr7-2b
Meszaros@scagr7-2c

Meszaros/scagr7-2c
Meszaros@scagr7-2r

Meszaros/scagr7-2r
Meszaros@scfxm1-2b

Meszaros/scfxm1-2b

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