On the number of nonnegative sums for semi-partitions

• المؤلفون الرئيسيون: Ku, Cheng Yeaw, Wong, Kok Bin
• مؤلفون آخرون: School of Physical and Mathematical Sciences
• التنسيق: مقال
• اللغة: English
• منشور في: 2022
• الموضوعات: Science::Mathematics; Subset Sums; Extremal Problems
• الوصول للمادة أونلاين: https://hdl.handle.net/10356/160838
• المؤسسة: Nanyang Technological University

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...