Published February 19, 2025 | Version v1

FBD-graphs

  • 1. ROR icon Graz University of Technology

Description

Three different FBD-Graphs (fully blocked digraphs without oriented 1-, 2-, or 3-cycles), saved as an edgelist.

 

 

`FBD_original.txt` contains to the full construction which is described in full-detail in the paper.

`FBD_minimal_vertices.tex` is 6 vertices and 48 edges smaller, at the time of writing the smallest known FBD-graph w.r.t. number of vertices and edges.

`FBD_minimal_α.txt` describes our smallest known graph w.r.t. max-α, i.e. the biggest number of 3-cliques a single edge participates in. In this case α=34.

 

`verifier.py` contains self-explanatory  python code to check a graph for FBD-properties. Please fetch graph data files manually if autofetching does not work.

Files

FBD_minimal_alpha.txt

Files (416.5 kB)

Name Size Download all
md5:205a6b0c864c3bda435925050d8fd12a
152.6 kB Preview Download
md5:d62d3998dab573068ba2c11bb41e06ae
131.2 kB Preview Download
md5:06f37eac878cffd9cdf14fe96cddd506
131.5 kB Preview Download
md5:5852d400b30bf2c6f889d06fa04a98fc
1.2 kB Download