Research output: Contribution to journal › Conference article › peer-review
Hamiltonian path problem : The performance comparison deoxyribonucleic acid computing and the branch-and-bound method. / Sergeenko, A. N.; Granichin, O. N.; Yakunina, M. V.
In: Journal of Physics: Conference Series, Vol. 1536, No. 1, 012003, 21.05.2020.Research output: Contribution to journal › Conference article › peer-review
}
TY - JOUR
T1 - Hamiltonian path problem
T2 - International Workshop Navigation and Motion Control 2019, NMC 2019
AU - Sergeenko, A. N.
AU - Granichin, O. N.
AU - Yakunina, M. V.
PY - 2020/5/21
Y1 - 2020/5/21
N2 - In this article different approaches to one of the most popular combinatorial problem - the Hamiltonian path problem - are illustrated and compared between each other. It is shown that it becomes inefficient to use branch-and-bound method, the most popular method which is realized on a computer, from the counted number of vertices because of its exponentially growing complexity, one more algorithm which is based on working with deoxyribonucleic acid (DNA) molecules in a laboratory is analysed. That method works parallel and has linearly growing time consumption. Due to the improvements in the biophysics methods, which are needed for DNA computing, that algorithm became much faster than it was several years ago and it is now possible to add some new stages in DNA computing, which are shown in this paper.
AB - In this article different approaches to one of the most popular combinatorial problem - the Hamiltonian path problem - are illustrated and compared between each other. It is shown that it becomes inefficient to use branch-and-bound method, the most popular method which is realized on a computer, from the counted number of vertices because of its exponentially growing complexity, one more algorithm which is based on working with deoxyribonucleic acid (DNA) molecules in a laboratory is analysed. That method works parallel and has linearly growing time consumption. Due to the improvements in the biophysics methods, which are needed for DNA computing, that algorithm became much faster than it was several years ago and it is now possible to add some new stages in DNA computing, which are shown in this paper.
UR - http://www.scopus.com/inward/record.url?scp=85085470707&partnerID=8YFLogxK
U2 - 10.1088/1742-6596/1536/1/012003
DO - 10.1088/1742-6596/1536/1/012003
M3 - Conference article
AN - SCOPUS:85085470707
VL - 1536
JO - Journal of Physics: Conference Series
JF - Journal of Physics: Conference Series
SN - 1742-6588
IS - 1
M1 - 012003
Y2 - 16 September 2019 through 20 September 2019
ER -
ID: 60761458