TY - JOUR
T1 - Cyclic permutations and nearly symmetric integer vectors
AU - Felzenbaum, A.
AU - Tamir, A.
PY - 1979/10
Y1 - 1979/10
N2 - Given an integer vector xT=(x1,...,xn) with the property x1>x2>⋯ >xn>0, it is shown that the convex hull of the n cyclic permutations of x contains all the nearly symmetric integer vectors majorized by x. A generalization to noninteger vectors and an application to a class of integer symmetric optimization problems are also given.
AB - Given an integer vector xT=(x1,...,xn) with the property x1>x2>⋯ >xn>0, it is shown that the convex hull of the n cyclic permutations of x contains all the nearly symmetric integer vectors majorized by x. A generalization to noninteger vectors and an application to a class of integer symmetric optimization problems are also given.
UR - http://www.scopus.com/inward/record.url?scp=49249140693&partnerID=8YFLogxK
U2 - 10.1016/0024-3795(79)90038-7
DO - 10.1016/0024-3795(79)90038-7
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AN - SCOPUS:49249140693
SN - 0024-3795
VL - 27
SP - 159
EP - 166
JO - Linear Algebra and Its Applications
JF - Linear Algebra and Its Applications
IS - C
ER -