Submitter Variables Constraints Density Status Group Objective MPS File
Balabhaskar Balasundaram 200 17013 3.08032e-02 open -69 2club200v15p5scn.mps.gz

Maximum 2-club instance; graph; clique relaxations

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 200 200
Constraints 17013 17013
Binaries 200 200
Integers 0 0
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.0308032 0.0308032
Nonzeroes 104811 104811
Constraint Classification Properties
Original Presolved
Total 17013 17013
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 0 0
Variable Bound 246 246
Set Partitioning 0 0
Set Packing 0 0
Set Covering 0 0
Cardinality 0 0
Invariant Knapsack 16767 16767
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 0.4771212
Constraint % 0.00588 0.722977 0.722977 1.44008
Variable % 1.00000 39.000000 39.000000 77.00000
Score 0.0033700

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 -69 -69 0 0 0 - 2018-10-13 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to 2club200v15p5scn 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
genus-sym-grafo5708-48 3379 3377 1 1 20538 72579 Stephan Beyer genus open -15*
genus-g61-25 14380 14378 1 1 94735 332877 Stephan Beyer genus open -26*
genus-sym-g62-2 12912 12910 1 1 78472 275855 Stephan Beyer genus open -20*
supportcase21i 27 24 3 0 7540 95325 Michael Winkler easy 20
supportcase2 2912 2912 0 0 597385 7653930 Michael Winkler open 372*

Reference

@article{BBFMIVH2club2016,
    Author = {F. Mahdavi Pajouh and B. Balasundaram and I. V. Hicks},
    Journal = {Operations Research},
    Month = {November-December},
    Number = {6},
    Pages = {1466--1481},
    Title = {On the 2-club polytope of graphs},
    Volume = {64},
    Year = {2016}}

Last Update Nov 09, 2018 by Gregor Hendel
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