Sai Zeng, Angran Xiao, et al.
CAD Computer Aided Design
We show that it is quasi-NP-hard to color 2-colorable 12-uniform hypergraphs with 2(log n)ω(1) colors where n is the number of vertices. Previously, Guruswami Harsha, Håstad, Srinivasan, and Varma showed that it is quasi-NP-hard to color 2-colorable 8-uniform hypergraphs with {equation presented} colors. Their result is obtained by composing a standard outer probabilistically checkable proof (PCP) with an inner PCP based on the short code of superconstant degree. Our result is instead obtained by composing a new outer PCP with an inner PCP based on the short code of degree two.
Sai Zeng, Angran Xiao, et al.
CAD Computer Aided Design
Michael D. Moffitt
ICCAD 2009
Heinz Koeppl, Marc Hafner, et al.
BMC Bioinformatics
Alessandro Morari, Roberto Gioiosa, et al.
IPDPS 2011