On diversity of certain T-intersecting families

• المؤلفون الرئيسيون: Ku, Cheng Yeaw, Wong, Kok Bin
• مؤلفون آخرون: School of Physical and Mathematical Sciences
• التنسيق: مقال
• اللغة: English
• منشور في: 2021
• الموضوعات: Engineering::Mathematics and analysis; T-intersecting Family; Erd ̋os-Ko-Rado
• الوصول للمادة أونلاين: https://hdl.handle.net/10356/147616
• المؤسسة: Nanyang Technological University

Let [n] = {1, 2, …, n} and 2[n] be the set of all subsets of [n]. For a family F ⊆ 2[n], its diversity, denoted by div(F), is defined to be div(F) = minx∈[n]{|F(x)|}, where F(x) = {F ϵ F: x ⊄ F }. Basically, div(F) measures how far F is from a trivial intersecting family, which is called a star. In this paper, we consider a generalization of diversity for t-intersecting family.