Semester
Fall
Date of Graduation
2005
Document Type
Dissertation
Degree Type
PhD
College
Eberly College of Arts and Sciences
Department
Mathematics
Committee Chair
John L. Goldwasser.
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. 2263.
https://researchrepository.wvu.edu/etd/2263