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cs.DS2026
New Algorithms for Parity-SAT and Its Bounded-Occurrence Versions
Sanjay Jain, Junqiang Peng, Frank Stephan +2
Parity-SAT is the problem of determining whether a given CNF formula has an odd number of satisfying assignments. As a canonical P-complete problem, it represents a fundame…
cs.DS2026
Faster Parameterized Vertex Multicut
Huairui Chu, Yuxi Liu, Daniel Lokshtanov +3
In the {\sc Vertex Multicut} problem the input consists of a graph , integer , and a set of pairs of vertices of . The ta…
cs.DS2025
New Algorithms for #2-SAT and #3-SAT
Junqiang Peng, Zimo Sheng, Mingyu Xiao
The #2-SAT and #3-SAT problems involve counting the number of satisfying assignments (also called models) for instances of 2-SAT and 3-SAT, respectively. In 2010, Zhou et al. propo…