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Chromatic Numbers from Exact Decision Diagrams in Exact Arithmetic

Important usage condition: Use and redistribution are governed by MIT. Review and comply with the license before using the data.
Persistent identifier
doi:10.60507/FK2/ZE9C3L
Published version
1.1
Publication date
2024-11-05
License
MIT

Description

This dataset contains source code and consoles for computing chromatic numbers with exact decision diagrams, solving integer programs with exact arithmetic. The chromatic number of the DIMACS instance r1000.1c could be determined for the first time. There are 3 files: - ddruns_main.zip contains scripts to reproduce the results - ddruns.tar contains the consoles and SCIP-exact certificates from our exeriments - ddcolors_flow_extraction.zip contains the C++ source code to compute exact decision diagrams for graph coloring.

Creators

Keywords

Graph Coloring, fractional chromatic number

Files

Before downloading: Use and redistribution are governed by MIT. Review and comply with the license before using the data.
FileTypeBytesChecksum
ddruns-main.zipapplication/zip26686902MD5 293beb08800f0b928fc73551c3eb2f87
ddcolors-flow_extraction.zipapplication/zip42440MD5 10fa4645ff4ff9d5c0504204d65a1208
README.mdtext/markdown848MD5 d97dfaf04f65fded991377d4fb4ba0b9
ddruns.tarapplication/x-tar7067473920MD5 1f11b823ef41cf5ad062162568025430

Citation

Brand, Timo; Held, Stephan, 2024-11-05, Chromatic Numbers from Exact Decision Diagrams in Exact Arithmetic, doi:10.60507/FK2/ZE9C3L, V1.1

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