Dissertation
Dissertation > Mathematical sciences and chemical > Mathematics > Algebra,number theory, portfolio theory > Combinatorics ( combinatorics ) > Combination of design

Maximum Packings of Triples by Quadruples

Author JinJing
Tutor JiLiJun
School Suzhou University
Course Applied Mathematics
Keywords Optimal filling design Filled with holes design Candlestick -type quaternary H Design T design can be grouped
CLC O157.2
Type Master's thesis
Year 2008
Downloads 15
Quotes 0
Download Dissertation

t-(v, k, λ) is designed to fill an ordered pair (V, β), where V is a v- element set , β k in the V element subsets ( called blocks) of the multiple set to meet V t Motoko set up arbitrary λ districts in the group , where t is called strength . The t-(v, k, λ) fill the design of the biggest number of groups called padding area , denoted as D_λ (v, k, t). When at t = 2 , of fillers has been extensively studied , see [ 11 ] . Firstly, the use of the design can be grouped three , three balanced design with s-fan design, the basic set H_λ (m, g, 4,3) the existence and proved CQS_λ (g ~ m: 0) is also a necessary condition for existence sufficient . Furthermore, the use of them as well as indicators λ candelabra -shaped quaternary , by filling holes filled construct optimal design, which basically determines when λ gt; 1 number when filling D_λ (v, 4,3) ( except for some parameters, ) , namely : Not determined parameters are : v = 31 and λ ≡ 3 (rood 4); v = 27 and λ ≡ 5,7 (mod 12); v = 15 and λ ≡ 11 (mod 12); v ∈ {6k 5: k ∈ M} and λ ≡ 1 (mod 4); v ∈ {6k 3: k ∈ N) and λ ≡ 5 (mod 12). Where M = {m: m is odd and 3 ≤ m ≤ 35, m ≠ 17,21} ∪ {45,47,75,77,79,159}, N = {n: n is an odd number , and 3 ≤ n ≤ 55, n ≠ 37,39,43} ∪ {75,77,79,159,161,163,165,167,169,171,173,175}.

Related Dissertations
More Dissertations