Open Access
Research Article·pp. 1–10·Vol. 26, Issue 1Feb 2021
Elizabeth C. M. Maritz, Tomáš Vetrík
Published Online: 04 Feb 2021DOI: 10.1080/09720529.2019.1694739 In this paper: The directed circulant graph Cn(1, 2, … , t) consists of the vertices v0 , v1 , … , vn-1 and edges directed from vi to vi+j for every i = 0, 1, … , n – 1, and j = 1, 2, … , t, where 1 ≤ t ≤ n – 1, the...
Open Access
Research Article·pp. 11–28·Vol. 26, Issue 1Feb 2021
Tsimi Jean Armand
Published Online: 26 Oct 2021DOI: 10.1080/09720529.2020.1861781 In this paper: In this text, our purpose is to define the category of modal θ-valent sets denoted ENS θ and see whether it is a topos.
Open Access
Research Article·pp. 29–46·Vol. 26, Issue 1Feb 2021
M. Aaly Kologani, M. Mohseni Takallo, R. A. Borzooei, Y. B. Jun
Published Online: 27 Oct 2021DOI: 10.1080/09720529.2021.1876293 In this paper: In this paper, the concept of an implicative equality algebra is defined and related properties are investigated. Characterizations of an implicative equality algebra and the relation among implicativ...
Open Access
Research Article·pp. 47–66·Vol. 26, Issue 1Feb 2021
Gezahagne Mulat Addis
Published Online: 27 Oct 2021DOI: 10.1080/09720529.2021.1892318 In this paper: The concept of congruence kernels and congruence cokernels are studied in pseudocomplemented almost distributive lattices. A set of equivalent conditions are derived for a given subset J of a pseudoco...
Open Access
Research Article·pp. 67–86·Vol. 26, Issue 1Feb 2021
Y. T. Oyebo, T. G. Jaiyéọlá, J. O. Adéníran
Published Online: 14 Nov 2021DOI: 10.1080/09720529.2021.1885810 In this paper: In this paper, the holomorphic study of inverse properties in loops is put in a more general setting. For various combinations of r, s, t ∈ ℤ in parities, it was established that: (i) the A(Q)-holomor...
Open Access
Research Article·pp. 87–101·Vol. 26, Issue 1Feb 2021
Seyyedeh Tahereh Jalali, Masoud Ghods
Published Online: 27 Oct 2021DOI: 10.1080/09720529.2021.1914426 In this paper: The topological index has transformed the chemical structure into a numeric number and they make a connection between chemistry and mathematics. In this paper, we compute some certain topological indi...
Open Access
Research Article·pp. 103–114·Vol. 26, Issue 1Feb 2021
Belkacem Imine, Naima Hadj-Said, Adda Ali-Pacha
Published Online: 02 Aug 2021DOI: 10.1080/09720529.2021.1933706 In this paper: In this paper, we propose a new McEliece public-key cryptosystem based on polar codes with non-permutation equivalent. Due to the fact that polar code is a decreasing monomial code, any permutation of...
Open Access
Research Article·pp. 115–120·Vol. 26, Issue 1Feb 2021
N. Annamalai, Durairajan Chinnapillai
Published Online: 02 Aug 2021DOI: 10.1080/09720529.2021.1933707 In this paper: In this paper, we introduce the exponent of a cyclic code over the finite field with q = pm elements. Also, we prove that the exponent of the dual of cyclic code satisfies the condition n = lcm(e, r)...
Open Access
Research Article·pp. 121–138·Vol. 26, Issue 1Feb 2021
Ghanem Meriem, Sadek Bouroubi
Published Online: 27 Oct 2021DOI: 10.1080/09720529.2021.1923920 In this paper: One of the methods used in order to protect a secret K is a secret sharing scheme. In this method, the secret K is distributed among a finite set of participants P by a special participant called the ...
Open Access
Research Article·pp. 139–152·Vol. 26, Issue 1Feb 2021
I. Cherkaoui, F. Zinoun
Published Online: 14 Nov 2021DOI: 10.1080/09720529.2021.1923921 In this paper: Within the scope of the mutual interference between modern number theory and chaos-based cryptography, and as it is well-known and already explored for the decimal or the continued fraction expansion...
Open Access
Research Article·pp. 153–173·Vol. 26, Issue 1Feb 2021
Girish Mishra, S. V. S. S. N. V. G. Krishna Murthy, S. K. Pal
Published Online: 15 Nov 2021DOI: 10.1080/09720529.2021.1932889 In this paper: Lightweight ciphers have been proposed from time to time to tackle various usage issues in IoT (Internet of Things) scenario. PRESENT and DoT are two such ciphers. PRESENT has been a benchmark cipher...
Open Access
Research Article·pp. 175–190·Vol. 26, Issue 1Feb 2021
Abdu Alameri
Published Online: 28 Oct 2021DOI: 10.1080/09720529.2021.1932891 In this paper: The present-day trend of the numerical coding of chemical structures with topological indices or topological coindices have established quite successful in medicinal chemistry and bioinformatics. Topo...
Open Access
Research Article·pp. 191–205·Vol. 26, Issue 1Feb 2021
Pithani Ashwini, V. Ch. Venkaiah, Wilson Naik Bhukya
Published Online: 27 Oct 2021DOI: 10.1080/09720529.2021.1925447 In this paper: Secret sharing is a method of distributing a secret among a group of participants such that if (i) an authorized set of participants cooperate, then they can reconstruct the secret and (ii) an unautho...
Open Access
Research Article·pp. 207–214·Vol. 26, Issue 1Feb 2021
N. Firouzkouhi
Published Online: 15 Nov 2021DOI: 10.1080/09720529.2021.1930651 In this paper: By applying the notion of fuzzy Γ -hypergroups, we demonstrate that the defined equivalence relation ϵ is the smallest fuzzy strongly regular relation and the quotient H / ϵ* is a Γ / β* -group. Espec...
Open Access
Research Article·pp. 215–229·Vol. 26, Issue 1Feb 2021
Kritsanapong Somsuk, Chalida Sanemueang
Published Online: 15 Nov 2021DOI: 10.1080/09720529.2021.1930656 In this paper: In the beginning of 2020, the new idea of public key cryptography was proposed. This method is from the combining between RSA and Chebyshev maps. It is very difficult to break this system because it i...
Open Access
Research Article·pp. 231–253·Vol. 26, Issue 1Feb 2021
G. Kirithiga Nandini, Sandi Klavžar, T. M. Rajalaxmi, R. Sundara Rajan
Published Online: 15 Nov 2021DOI: 10.1080/09720529.2021.1935095 In this paper: In a series of papers, Imran et al. reported the total eccentricity index, the average eccentricity index, the eccentricity-based Zagreb indices, the atom-bond connectivity index, and the geometric ar...
Open Access
Research Article·pp. 255–269·Vol. 26, Issue 1Feb 2021
Anwar Saleh, Nasr A. Zeyada
Published Online: 15 Nov 2021DOI: 10.1080/09720529.2021.1936898 In this paper: Graph theory has supported chemists with topological indices which predict different physicochemical properties such as boiling point, entropy, acentric factor, etc. of chemical compounds. In this art...
Open Access
Research Article·pp. 271–279·Vol. 26, Issue 1Feb 2021
Marco Pavone
Published Online: 28 Oct 2021DOI: 10.1080/09720529.2021.1932898 In this paper: In this paper, we give a new proof of the closed-form formula for the weight distribution of a perfect binary single-error-correcting code.
Open Access
Research Article·pp. 281–302·Vol. 26, Issue 1Feb 2021
Ammar Alsinai, Hafiz Mutee ur Rehman, Yasir Manzoor, Murat Cancan, Ziyattin Taş, Moahmmad Reza Farahani
Published Online: 24 Feb 2022DOI: 10.1080/09720529.2022.2027605 In this paper: Sheehalli and Kanabur presented new forms of topological indices known as SK indices which have many applications in chemical graph theory towards QSPR/QSAR. A simple connected graph Γ is called a cac...