On The Maximum Jump Number 
Abstract
If
and
(
) are large enough , it is quite difficult to give the value of
. R.A. Brualdi and H.C. Jung gave a table about the value of
for
. In this paper, we show that
holds for
. Hence,
holds for
, which verifies that their conjecture
holds for
, and disprove their conjecture
for
,
.















DOI Code:
10.1285/i15900932v23n1p71
Keywords:
(0,1)-matrices; Jump number; Stair number; Conjecture
Classification:
05B20; 15A36
Full Text: PDF