TY - JFULL
AU - Sharmila Karim and Haslinda Ibrahim and Zurni Omar
PY - 2011/7/
TI - New Scheme in Determining nth Order Diagrams for Cross Multiplication Method via Combinatorial Approach
T2 - International Journal of Mathematical and Computational Sciences
SP - 919
EP - 923
VL - 5
SN - 1307-6892
UR - https://publications.waset.org/pdf/12156
PU - World Academy of Science, Engineering and Technology
NX - Open Science Index 54, 2011
N2 - In this paper, a new recursive strategy is proposed for determining $\frac{(n-1)!}{2}$ of $n$th order diagrams. The generalization of $n$th diagram for cross multiplication method were proposed by Pavlovic and Bankier but the specific rule of determining $\frac{(n-1)!}{2}$ of the $n$th order diagrams for square matrix is yet to be discovered. Thus using combinatorial approach, $\frac{(n-1)!}{2}$ of the $n$th order diagrams will be presented as $\frac{(n-1)!}{2}$ starter sets. These starter sets will be generated based on exchanging one element. The advantages of this new strategy are the discarding process was eliminated and the sign of starter set is alternated to each others.
ER -