Last Updated
：2025/11/28
Ramsey number
Noun
(combinatorics)
Any
one
of
a
certain
set
of
numbers
which
are
guaranteed
to
exist
by
Ramsey's
theorem;
a
positive
integer
which
is
a
certain
function
of
some
given
multiset
of
positive
integers,
where
that
"certain
function"
is
that
which
yields
the
minimal
number
guaranteed
to
exist
by
Ramsey's
theorem.
Japanese Meaning
Ramsey数とは、ラamsayの定理により存在が保証される、特定の正の整数の多重集合に対応する最小の正の整数を指す。 / 組合せ論において、与えられた条件下で必ず存在する最小の整数の値。
Sense（1）
(combinatorics)
Any
one
of
a
certain
set
of
numbers
which
are
guaranteed
to
exist
by
Ramsey's
theorem;
a
positive
integer
which
is
a
certain
function
of
some
given
multiset
of
positive
integers,
where
that
"certain
function"
is
that
which
yields
the
minimal
number
guaranteed
to
exist
by
Ramsey's
theorem.
（ plural ）
Quizzes for review
(combinatorics) Any one of a certain set of numbers which are guaranteed to exist by Ramsey's theorem; a positive integer which is a certain function of some given multiset of positive integers, where that certain function
is that which yields the minimal number guaranteed to exist by Ramsey's theorem.
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See correct answer
Ramsey number
To prove the proposition, we estimated the Ramsey number for several small graphs using an exhaustive computer search.
See correct answer
To prove the proposition, we estimated the Ramsey number for several small graphs using an exhaustive computer search.
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