On the number of nonnegative sums for semi-partitions
Let [ n] = { 1 , 2 , ⋯ , n}. Let ([n]k) be the family of all subsets of [n] of size k. Define a real-valued weight function w on the set ([n]k) such that ∑X∈([n]k)w(X)≥0. Let Un,t,k be the set of all P= { P1, P2, ⋯ , Pt} such that Pi∈([n]k) for all i and Pi∩ Pj= ∅ for i≠ j. For each P∈ Un,t,k, let w...
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Main Authors: | Ku, Cheng Yeaw, Wong, Kok Bin |
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Other Authors: | School of Physical and Mathematical Sciences |
Format: | Article |
Language: | English |
Published: |
2022
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Subjects: | |
Online Access: | https://hdl.handle.net/10356/160838 |
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Institution: | Nanyang Technological University |
Language: | English |
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