Sharmila  Karim, Haslinda  Ibrahim, Maizon  Mohd Darus, 
    Representation of Half Wing of Butterfly and Hamiltonian Circuit for
Complete Graph using Starter Set Method,
    Journal of Engineering and Applied Sciences,
    Volume 14,Issue 19,
    2019,
    Pages 7084-7088,
    ISSN 1816-949x,
    jeasci.2019.7084.7088,
    (https://makhillpublications.co/view-article.php?doi=jeasci.2019.7084.7088)
    Abstract: Generating distinct circuits from complete graphs have been an active study due to vast applications
particularly in computer science. Several interesting and challenging methods have used to formulate distinct
circuits but this research is motivated through the process of wings movement in butterfly to develop distinct
circuits from complete graphs. The beauty of method is using the concept of mirror image of the wings
movement and this method in called Half Butterfly Method (HBM). The advantage of HBM is a visualisation
of half wing of butterfly. Inspired by this research, a new idea come out with the generating half wing of
butterfly and distinct Hamiltonian circuit via. starter sets method under exchanged strategy. This new method
did not use wing strategy to develop half wing of butterfly and Hamiltonian circuit. We provide an example for
case n = 4 and 5 to exemplify the algorithms. Furthermore, the calculation for order of complexity is also
presented for generating distinct half wing and hamiltonian circuit using starter set method.
    Keywords: Half Butterfly method;complete graph;starter sets method;distinct circuit;butterfly;formulate;movement