Submitter Variables Constraints Density Status Group Objective MPS File
Toni Sorrell 2046 18944 9.77517e-04 open independentset -350 sorrell8.mps.gz

These instances are based on Neil Sloane’s Challenge problems: Independent Sets in Graphs.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 2046 2046
Constraints 18944 18944
Binaries 2046 2046
Integers 0 0
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.000977517 0.000977517
Nonzeroes 37888 37888
Constraint Classification Properties
Original Presolved
Total 18944 18944
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 0 0
Variable Bound 18944 18944
Set Partitioning 0 0
Set Packing 0 0
Set Covering 0 0
Cardinality 0 0
Invariant Knapsack 0 0
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 0 0
Mixed Binary 0 0
General Linear 0 0
Indicator 0 0

Structure

Available nonzero structure and decomposition information. Further information can be found here.

value min median mean max
Components 1.041393
Constraint % 0.100296 10 6.27111 25.9396
Variable % 0.537634 10 8.06452 22.5806
Score 0.819115

Best Known Solution(s)

Find solutions below. Download the archive containing all solutions from the Download page.

ID Objective Exact Int. Viol Cons. Viol Obj. Viol Submitter Date Description
1 -350 -350 0 0 0 - 2018-10-11 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to sorrell8 in the collection. This similarity analysis is based on 100 scaled instance features describing properties of the variables, objective function, bounds, constraints, and right hand sides.

Instance Variables Binaries Integers Continuous Constraints Nonz. Submitter Group Status Objective
sorrell7 2048 2048 0 0 78848 157696 Toni Sorrell independentset open -185*
sorrell3 1024 1024 0 0 169162 338324 Toni Sorrell independentset hard -16
z26 17937 17937 0 0 850513 1715610 Daniel Bienstock open -1101*
sorrell4 2048 2048 0 0 504451 1008900 Toni Sorrell independentset open -23*
manna81 3321 18 3303 0 6480 12960 MIPLIB submission pool easy -13164

Reference

No bibliographic information available

Last Update Nov 09, 2018 by Gregor Hendel
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