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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VanVelzen@Zd_Jac2

VanVelzen/Zd_Jac2
VanVelzen@Zd_Jac2_db

VanVelzen/Zd_Jac2_db
VanVelzen@Zd_Jac3

VanVelzen/Zd_Jac3
VanVelzen@Zd_Jac3_db

VanVelzen/Zd_Jac3_db
VanVelzen@Zd_Jac6

VanVelzen/Zd_Jac6
VanVelzen@Zd_Jac6_db

VanVelzen/Zd_Jac6_db
Vavasis@av41092

Vavasis/av41092
Wang@swang1

Wang/swang1
Wang@swang2

Wang/swang2
Wang@wang1

Wang/wang1
Wang@wang2

Wang/wang2
Wang@wang3

Wang/wang3
Wang@wang4

Wang/wang4
Watson@Baumann

Watson/Baumann
Watson@chem_master1

Watson/chem_master1
Wissgott@parabolic_fem

Wissgott/parabolic_fem
YCheng@psse0

YCheng/psse0
YCheng@psse1

YCheng/psse1
YCheng@psse2

YCheng/psse2
Zaoui@kkt_power

Zaoui/kkt_power

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