JOURNAL ARTICLE

Coloring Block Designs is NP-Complete

Charles J. ColbournMarlene J. ColbournKevin T. PhelpsVojtěch Rödl

Year: 1982 Journal:   SIAM Journal on Algebraic and Discrete Methods Vol: 3 (3)Pages: 305-307   Publisher: Society for Industrial and Applied Mathematics

Abstract

Coloring partial Steiner triple systems is shown to be NP-complete. Together with an embedding technique of Lindner, this provides a short proof of the NP-completeness of coloring block designs.

Keywords:
Mathematics Combinatorics Block (permutation group theory) Embedding Completeness (order theory) Discrete mathematics Block size Computer science Artificial intelligence Key (lock)

Metrics

8
Cited By
1.37
FWCI (Field Weighted Citation Impact)
5
Refs
0.82
Citation Normalized Percentile
Is in top 1%
Is in top 10%

Topics

graph theory and CDMA systems
Physical Sciences →  Engineering →  Electrical and Electronic Engineering
Graph Labeling and Dimension Problems
Physical Sciences →  Computer Science →  Computational Theory and Mathematics
Advanced Graph Theory Research
Physical Sciences →  Computer Science →  Computational Theory and Mathematics

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