Equipartition of a Segment
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Equipartition of a Segment. / Avvakumov, Sergey; Karasev, Roman.
In: Mathematics of Operations Research, Vol. 48, No. 1, 2023, p. 194-202.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Equipartition of a Segment
AU - Avvakumov, Sergey
AU - Karasev, Roman
N1 - Publisher Copyright: Copyright: © 2022 INFORMS.
PY - 2023
Y1 - 2023
N2 - We prove that, for any positive integer m, a segment may be partitioned into m possibly degenerate or empty segments with equal values of a continuous function f evaluated on segments, assuming that f may take positive and negative values, but its value on degenerate or empty segments is zero.
AB - We prove that, for any positive integer m, a segment may be partitioned into m possibly degenerate or empty segments with equal values of a continuous function f evaluated on segments, assuming that f may take positive and negative values, but its value on degenerate or empty segments is zero.
KW - configuration space
KW - fair partition
U2 - 10.1287/moor.2022.1260
DO - 10.1287/moor.2022.1260
M3 - Journal article
AN - SCOPUS:85152192465
VL - 48
SP - 194
EP - 202
JO - Mathematics of Operations Research
JF - Mathematics of Operations Research
SN - 0364-765X
IS - 1
ER -
ID: 382505327