>>606
証明の追加や。先ず最初に連結な無限グラフ$\Gamma$ is taken. Then, by taking
a look at the suitable embedding of ${\Bbb Z}$ as a vertex subset of the
total vertex set $V$ of $\Gamma=(V,E)$ with the property that {\it none
of those vertex sets coming from this ${\Bbb Z}$ is not connected by $E$}.
Then it is clear that the cardinality of all of the choice of such exceeds
the number that I described above.
I think that this is the end of the proof that the statement of yours is
nothing difficult to be proved, maybe good for the students of Komaba
with the first grade, right after the entrance of Todai, but not for
the graduate students.
