Dynamic multi‐objective optimisation of complex networks based on evolutionary computation
IET Networks, EarlyView., 2022 Abstract As the problems concerning the number of information to be optimised is increasing, the optimisation level is getting higher, the target information is more diversified, and the algorithms are becoming more complex; the traditional algorithms such as particle swarm and differential evolution are far from being able to deal with this situation ...
Linfeng Huang
wiley +1 more source
On the common index divisors of an algebraic field [PDF]
Transactions of the American Mathematical Society, 1930 whose coefficients are rational integers. We shall call (1) the characteristic equation for 0. If do is the discriminant of 0 then do= ko2 d where ko is a rational integer, the index of 0. A divisor common to the indices of every integer of the field has been called by Kronecker a "gemeinsamer ausserwesentlicher Discriminantenteiler" of the field.
openaire +1 more source
Ultrametric spaces of branches on arborescent singularities [PDF]
, 2018 Let $S$ be a normal complex analytic surface singularity. We say that $S$ is arborescent if the dual graph of any resolution of it is a tree. Whenever $A,B$ are distinct branches on $S$, we denote by $A \cdot B$ their intersection number in the sense of ...
A Dimca +32 more
core +3 more sources
Criteria for the existence of equivariant fibrations on algebraic surfaces and hyperk\"ahler manifolds and equality of automorphisms up to powers - a dynamical viewpoint [PDF]
, 2015 Let $X$ be a projective surface or a hyperk\"ahler manifold and $G \le Aut(X)$. We give a necessary and sufficient condition for the existence of a non-trivial $G$-equivariant fibration on $X$.
Hu, Fei, Keum, JongHae, Zhang, De-Qi
core +1 more source
Some Bounds on Greatest Common Divisor Degree Estrada Index of Graphs
International Journal of Engineering and Advanced Technology, 2019 Let 𝑮 be a simple graph of order 𝒏. In this paper we find some bounds on Greatest Common Divisor Degree Estrada Index of the graph 𝑮 by using mathematical inequalities interms of G.C.D. degree Index 𝑰𝑮𝑪𝑫 of graphs and exponential terms.
K. Nagarajan, R. S. Ramkumar
openaire +1 more source
Three-Index Symmetric Matter Representations of SU(2) in F-Theory from Non-Tate Form Weierstrass Models [PDF]
, 2016 We give an explicit construction of a class of F-theory models with matter in the three-index symmetric (4) representation of SU(2). This matter is realized at codimension two loci in the F-theory base where the divisor carrying the gauge group is ...
Klevers, Denis, Taylor, Washington
core +2 more sources
On common index divisors and monogenity of certain number fields defined by $x^5+ax+b$
, 2021 The goal of this paper is to calculate explicitly the field index of any quintic number field $K$ generated by a complex root $\al$ of a monic irreducible trinomial $F(x) = x^5+ax+b \in \Z[x]$. In such a way we provide a complete answer to the Problem 22 of Narkiewicz \cite{WN}.
openaire +2 more sources
On the Monogenity of Quartic Number Fields Defined by x4 + ax2 + b
MathematicsFor any quartic number field K generated by a root α of an irreducible trinomial of type x4+ax2+b∈Z[x], we characterize when Z[α] is integrally closed. Also for p=2, 3, we explicitly give the highest power of p dividing i(K), the common index divisor of ...
Lhoussain El Fadil, István Gaál
doaj +1 more source
, 2017 We determine positive-dimensional G-periodic proper subvarieties of an n-dimensional normal projective variety X under the action of an abelian group G of maximal rank n-1 and of positive entropy.
Hu, F., Tan, S., Zhang, D.
core +2 more sources
Relative Prime Coprime Graph of Integers Modulo Group and Its Reverse Topological Indices
Pan-American Journal of MathematicsThe relationship between edges and vertices is fundamental to graph theory, significantly influencing different graph properties and applications.
Abdurahim - +3 more
doaj +1 more source