Semester
Fall
Date of Graduation
2005
Document Type
Dissertation
Degree Type
PhD
College
Eberly College of Arts and Sciences
Department
Mathematics
Abstract
We present four main results: (1) A solution to the problem of finding two set systems A and B such that A is r1-intersecting, B is r2-intersecting, A,B are t-cross-intersecting and A+ B is a maximum; (2) A solution to the problem of finding two set systems A and B such that A,B are Sperner, t-cross-intersecting and A+ B is a maximum; (3) A solution to the problem of finding the maximum size of an intersecting set system F such that the complementary degree c( F ) = s for a specified value s; (4) An asymptotic result on the complementary degree of an intersecting set system.
Recommended Citation
Ou, Yongbin, "Maximum size t-cross-intersecting and intersecting families with degree conditions" (2005). Graduate Theses, Dissertations, and Problem Reports (ETD). 2263.
https://researchrepository.wvu.edu/etd/2263