DIMACS10/hi2010
DIMACS10 set: redistrict/hi2010 and hi2010a
Name 
hi2010 
Group 
DIMACS10 
Matrix ID 
2592 
Num Rows

25,016 
Num Cols

25,016 
Nonzeros

124,126 
Pattern Entries

124,126 
Kind

Undirected Weighted Graph 
Symmetric

Yes 
Date

2010 
Author

W. Zhao 
Editor

H. Meyerhenke 
Structural Rank 

Structural Rank Full 

Num Dmperm Blocks


Strongly Connect Components

16 
Num Explicit Zeros

0 
Pattern Symmetry

100% 
Numeric Symmetry

100% 
Cholesky Candidate

no 
Positive Definite

no 
Type

integer 
SVD Statistics 
Matrix Norm 
6.016846e+06 
Minimum Singular Value 
1.236937e14 
Condition Number 
4.864310e+20

Rank 
24,565 
sprank(A)rank(A) 

Null Space Dimension 
451 
Full Numerical Rank? 
no 
Download Singular Values 
MATLAB

Download 
MATLAB
Rutherford Boeing
Matrix Market

Notes 
DIMACS10 redistrict set
Redistricting and Graph Partitioning
====================================
The xx2010a graphs are generated from U.S. Census 2010 and Tiger/Line
2010 shapefiles. They are freely available from census.gov web site.
The xx prefix in the filenames are the U.S. Postal Service acronyms of
the state names, e.g. ny is New York.
* the vertices are the Census Blocks;
* two vertices have an edge if and only if the corresponding Census
Blocks share a line segment on their border, i.e. rookstyle
neighboring.
* each vertex has two weights:
(1) Census2010 POP100 or the number of people living in that
Census Block, and.
(2) Land Area of the Census Block in square meters
* the edge weights are the pseudolength of the shared borderlines.
The pseudolength is calculated using sqrt(x^2 + y^2), x and y
being the differences in longitudes and latitudes of each line
segment on the shared borderlines. Then the result is multiplied
by 10^7 to make the edge weights integers.
* each Census Block gets identified by a point, and the XY coordinates
are the longitudes and latitudes of each point. The points are
selected by Census to be internal to the Census Blocks, but the
tech doc says that they are not always internal (but always very
close).
Author: Will Zhao
Added to the DIMACS10 collection by Henning Meyerhenke, 2011
The DIMACS10 collection also includes versions of these graphs with
unweighted edges. The two sets have been merged in this collection.
If you want the unweighted version, just drop the edge weights on the
graphs present in this collection.
