Results 81 to 90 of about 1,288,795 (193)

A note on zero-divisor graph of amalgamated duplication of a ring along an ideal

open access: yesAKCE International Journal of Graphs and Combinatorics, 2017
Let be a commutative ring and be a non-zero ideal of . Let be the subring of consisting of the elements for and . In this paper we characterize all isomorphism classes of finite commutative rings with identity and ideal such that is planar.
A. Mallika, R. Kala
doaj   +1 more source

Structure and Enumeration of Constacyclic Codes over Cube-Zero Local Rings of Order q5

open access: yesMathematics
We investigate λ-constacyclic codes of length n over finite commutative local rings R of characteristic p and order q5, where q=pm is an odd prime power, whose Jacobson radical N satisfies N3=0≠N2, under the coprimality condition gcd(n,p)=1.
Sami H. Saif, Shayea Aldossari
doaj   +1 more source

Families of elliptic curves with rational 3-torsion

open access: yesJournal of Mathematical Cryptology, 2012
In this paper we look at three families of elliptic curves with rational 3-torsion over a finite field. These families include Hessian curves, twisted Hessian curves, and a new family we call generalized DIK curves. We find the number of -isogeny classes
Moody Dustin, Wu Hongfeng
doaj   +1 more source

Recognition of Unigraphs through Superposition of Graphs

open access: yesJournal of Graph Algorithms and Applications, 2011
Unigraphs are graphs uniquely determined by their own degree sequence up to isomorphism. In this paper a structural description for unigraphs is introduced: vertex set is partitioned into three disjoint sets while edge set is divided into two different ...
Alessandro Borri   +2 more
doaj   +1 more source

Towards Crossing-Free Hamiltonian Cycles in Simple Drawings of Complete Graphs

open access: yesComputing in Geometry and Topology
It is a longstanding conjecture that every simple drawing of a complete graph on n ≥ 3 vertices contains a crossing-free Hamiltonian cycle. We strengthen this conjecture to “there exists a crossing-free Hamiltonian path between each pair of vertices” and
Oswin Aichholzer   +2 more
doaj   +1 more source

Classes of Polish spaces under effective Borel isomorphism

open access: yes, 2016
The author studies the equivalence classes under \Delta^1_1 isomorphism, otherwise effective Borel isomorphism, between complete separable metric spaces which admit a recursive presentation and he shows the existence of strictly increasing and strictly ...
Gregoriades, Vassilios
core   +1 more source

On the determination of the Singer transfer

open access: yesVietnam Journal of Science, Technology and Engineering, 2018
Let Pk be the graded polynomial algebra F2[x1, x2, . . . , xk] with the degree of each generator xi being 1, where F2 denote the prime field of two elements, and let GLk be the general linear group over F2 which acts regularly on Pk.
Sum Nguyen
doaj   +1 more source

Isomorphism classes of cut loci for a cube

open access: yesDiscrete Mathematics
We prove that a face of a cube can be optimally partitioned into connected 193 sets on which the cut locus, or ridge tree, is constant up to isomorphism as a labeled graph. These are 60 connected open sets, curves bounding them, and intersection points of curves. Polynomial equations for the curves are provided.
Donald M. Davis, Manyi Guo
openaire   +3 more sources

A method for counting the number of polynomial equivalence classes

open access: yesJournal of Mathematical Cryptology, 2013
As one of the most fundamental problems in multivariate public key cryptosystems (MPKC), Isomorphism of Polynomial (IP) induces an equivalence relation on the polynomials systems.
Wang Tianze, Lin Dongdai
doaj   +1 more source

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