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Second DIMACS Brockington Graph 9

The Second DIMACS Implementation Challenge: 1992-1993

Originator: Mark Brockington

NP Hard Problems: Maximum Clique, Graph Coloring, and Satisfiability, The Second DIMACS Implementation Challenge: 1992-1993.

Random graphs from Mark Brockington and Joe Culberson's generator that attempts to "hide" cliques in a graph where the expected clique size is much smaller.

(800 vertices, 207505 edges)

Examples

Basic Examples

Retrieve the graph:

In[1]:=
ResourceData["Second DIMACS Brockington Graph 9"]
Out[1]=

Summary properties:

In[2]:=
ResourceData["Second DIMACS Brockington Graph 9", All]["Summary"]
Out[2]=

Basic Applications

Show the properties of the graph:

In[3]:=
g = ResourceData["Second DIMACS Brockington Graph 9"];
In[4]:=
Dataset[<|# -> #[g]|> & /@ {GraphDiameter, GraphDensity, MeanGraphDistance, GraphLinkEfficiency}]
Out[4]=

Wolfram Research, "Second DIMACS Brockington Graph 9" from the Wolfram Data Repository (2019)  

Data Resource History

  • Date Created:

Source Metadata

  • Citation:
    • Volume 26, Cliques, Coloring, and Satisfiability: Second DIMACS Implementation Challenge, October 11-13, 1993, Editors: David S. Johnson and Michael A. Trick; AMS, Providence, RI, 1996.

Data Downloads

Publisher Information

  • Prepared for the Wolfram Data Repository By: Wolfram
  • Publisher of Record: Wolfram Research