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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Meszaros@l9

Meszaros/l9
Meszaros@large

Meszaros/large
Meszaros@lp22

Meszaros/lp22
Meszaros@lpl2

Meszaros/lpl2
Meszaros@lpl3

Meszaros/lpl3
Meszaros@mod2

Meszaros/mod2
Meszaros@model1

Meszaros/model1
Meszaros@model10

Meszaros/model10
Meszaros@model2

Meszaros/model2
Meszaros@model3

Meszaros/model3
Meszaros@model4

Meszaros/model4
Meszaros@model5

Meszaros/model5
Meszaros@model6

Meszaros/model6
Meszaros@model7

Meszaros/model7
Meszaros@model8

Meszaros/model8
Meszaros@model9

Meszaros/model9
Meszaros@nemsafm

Meszaros/nemsafm
Meszaros@nemscem

Meszaros/nemscem
Meszaros@nemsemm1

Meszaros/nemsemm1
Meszaros@nemsemm2

Meszaros/nemsemm2

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