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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Mallya@lhr07c

Mallya/lhr07c
Mallya@lhr10

Mallya/lhr10
Mallya@lhr10c

Mallya/lhr10c
Mallya@lhr11

Mallya/lhr11
Mallya@lhr11c

Mallya/lhr11c
Mallya@lhr14

Mallya/lhr14
Mallya@lhr14c

Mallya/lhr14c
Mallya@lhr17

Mallya/lhr17
Mallya@lhr17c

Mallya/lhr17c
Mallya@lhr34

Mallya/lhr34
Mallya@lhr34c

Mallya/lhr34c
Mallya@lhr71

Mallya/lhr71
Mallya@lhr71c

Mallya/lhr71c
Mancktelow@viscorocks

Mancktelow/viscorocks
MathWorks@Harvard500

MathWorks/Harvard500
MathWorks@Kaufhold

MathWorks/Kaufhold
MathWorks@Kuu

MathWorks/Kuu
MathWorks@Muu

MathWorks/Muu
MathWorks@Pd

MathWorks/Pd
MathWorks@Pd_rhs

MathWorks/Pd_rhs

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