Wolfram Research

Wolfram Data Repository

Immediate Computable Access to Curated Contributed Data

H(10,4) Hamming Graph

The Second DIMACS Implementation Challenge: 1992-1993

Originator: Panos Pardalos

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

A Hamming graph with parameters n and d has a node for each binary vector of length n. Two nodes are adjacent if and only if the corresponding bit vectors are hamming distance at least d apart.

Examples

Basic Examples

Retrieve the graph:

In[1]:=
ResourceData["H(10,4) Hamming Graph"]
Out[1]=

Summary properties:

In[2]:=
ResourceData["H(10,4) Hamming Graph", All]["Summary"]
Out[2]=

Basic Applications

Show the properties of the graph:

In[3]:=
g = ResourceData["H(10,4) Hamming Graph"];
In[4]:=
Dataset[<|# -> #[g]|> & /@ {GraphDiameter, GraphDensity, MeanGraphDistance, GraphLinkEfficiency}]
Out[4]=

Wolfram Research, "H(10,4) Hamming Graph" from the Wolfram Data Repository (2019) 

Data Resource History

  • Date Created: 30 October 2019

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

  • Contributed By: Wolfram
  • Publisher of Record: Wolfram Research