**
ACTA MATHEMATICA UNIVERSITATIS COMENIANAE **

p. 199 - 203

D. Gijswijt and P. Moree

**Abstract.** Let a
= (a
_{1},a
_{2},
¼,
a
_{m}) Î
R_{>0}^{m}. Let a
_{i,j} be the vector obtained from a
by deleting
the entries a
_{i} and a_{j}. Besser and Moree
introduced some invariants and
near invariants related to the solutions e Î{±1}^{m-2} of the linear inequality
|a_{i} - a_{j}| < <e,a_{i,j}> < a_{i} + a_{j}, where < , > denotes the usual inner product and a_{i,j} the
vector obtained from a by deleting a_{i} and a_{j}. The main result of Besser and Moree
is extended here to a much more general setting, namely that of certain maps from
finite sets to {-1,1}.
**AMS Subject classification:** Primary: 15A39;
Secondary: 11B99.

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