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New Lower Bound of Critical Function for (k, s)-SAT
J. Info. Comput. Sci. , 1 (2006), pp. 03-10.
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@Article{JICS-1-03,
author = {},
title = {New Lower Bound of Critical Function for (k, s)-SAT},
journal = {Journal of Information and Computing Science},
year = {2006},
volume = {1},
number = {1},
pages = {03--10},
abstract = { ( , )k s
is the propositional satisfiable problem restricted to instances where each clause has
exactly k distinct literals and every variable occurs at most s times. It is known that there exits an exponential
is already NP-
function f such that for
complete (
are only known
3
k = , and it(cid:146)s open whether
k = and
for
is computable. The best known lower and upper bounds
3
Ω
− ≈
on ( )
, respectively. In this paper, analogous to the
, where
f k are
randomized algorithm for finding two coloring of k − uniform hypergraph, we first present a similar
randomize algorithm for outputting an assignment for a given formula. Based on it and by probabilistic
},
issn = {3080-180X},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jics/22854.html}
}
TY - JOUR
T1 - New Lower Bound of Critical Function for (k, s)-SAT
AU -
JO - Journal of Information and Computing Science
VL - 1
SP - 03
EP - 10
PY - 2006
DA - 2006/02
SN - 1
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22854.html
KW -
AB - ( , )k s
is the propositional satisfiable problem restricted to instances where each clause has
exactly k distinct literals and every variable occurs at most s times. It is known that there exits an exponential
is already NP-
function f such that for
complete (
are only known
3
k = , and it(cid:146)s open whether
k = and
for
is computable. The best known lower and upper bounds
3
Ω
− ≈
on ( )
, respectively. In this paper, analogous to the
, where
f k are
randomized algorithm for finding two coloring of k − uniform hypergraph, we first present a similar
randomize algorithm for outputting an assignment for a given formula. Based on it and by probabilistic
. (2006). New Lower Bound of Critical Function for (k, s)-SAT.
Journal of Information and Computing Science. 1 (1).
03-10.
doi:
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