Results 21 to 30 of about 5,289 (294)
On the Grone-Merris conjecture [PDF]
Discrete Mathematics & Theoretical Computer Science, 2005 Grone and Merris [GM94] conjectured that the Laplacian spectrum of a graph is majorized by its conjugate vertex degree sequence. We prove that this conjecture holds for a class of graphs including trees.
Tamon Stephen
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Zalcman Functional and Majorization Results for Certain Subfamilies of Holomorphic Functions
Axioms, 2023 In this paper, we investigate sharp coefficient functionals, like initial four sharp coefficient bounds, sharp Fekete–Szegö functionals, and, for n=1 and 2, sharp Zalcman functionals are evaluated for class of functions associated with tangent functions.
Muhammad Ghafar Khan +3 more
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An algorithm for constructing integral row stochastic matrices [PDF]
Journal of Mahani Mathematical Research, 2022 Let $\textbf{M}_{n}$ be the set of all $n$-by-$n$ real matrices, and let $\mathbb{R}^{n}$ be the set of all $n$-by-$1$ real (column) vectors. An $n$-by-$n$ matrix $R=[r_{ij}]$ with nonnegative entries is called row stochastic, if $\sum_{k=1}^{n} r_ ...
Asma Ilkhanizadeh Manesh
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Linear preservers of acu-majorization on $\mathbb{R}^3$ and $M_{3,m}$ [PDF]
Journal of Mahani Mathematical ResearchIn this note, we present an equivalent condition for linear preservers of group majorization induced by closed subgroup $G$ of $O(\mathbb{R}^n)$. Moreover, a new concept of majorization is defined on $\mathbb{R}^3$ as acu-majorization and this is ...
Mohammad Soleymani
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The majority game with an arbitrary majority
Discrete Applied Mathematics, 2016 The $k$-majority game is played with $n$ numbered balls, each coloured with one of two colours. It is given that there are at least $k$ balls of the majority colour, where $k$ is a fixed integer greater than $n/2$. On each turn the player selects two balls to compare, and it is revealed whether they are of the same colour; the player's aim is to ...
Britnell JR, Wildon M
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, 2019 summary:Let $\mathbb {M}_{n,m}$ be the set of all $n\times m$ real or complex matrices. For $A,B\in \mathbb {M}_{n,m}$, we say that $A$ is row-sum majorized by $B$ (written as $A\prec ^{\rm rs} B$) if $R(A)\prec R(B)$, where $R(A)$ is the row sum vector ...
Akbarzadeh, Farzaneh, Armandnejad, Ali
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f-Majorization with Applications to Stochastic Comparison of Extreme Order Statistics
Journal of Statistical Theory and Applications (JSTA), 2018 In this paper, we use a new partial order, called f-majorization order. The new order includes as special cases the majorization, the reciprocal majorization and the p-larger orders.
Esmaeil Bashkar +3 more
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Linear Algebra and its Applications, 2014 The extension of majorization (also called the rearrangement ordering), to more general groups than the symmetric (permutation) group, is referred to as $G$-majorization. There are strong results in the case that $G$ is a reflection group and this paper builds on this theory in the direction of subgroups, normal subgroups, quotient groups and ...
Francis, Andrew R. (R7685) +1 more
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Majorization preservation of Gaussian bosonic channels
New Journal of Physics, 2016 It is shown that phase-insensitive Gaussian bosonic channels are majorization-preserving over the set of passive states of the harmonic oscillator. This means that comparable passive states under majorization are transformed into equally comparable ...
Michael G Jabbour +2 more
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Quantum Heat Engines with Complex Working Media, Complete Otto Cycles and Heuristics
Entropy, 2021 Quantum thermal machines make use of non-classical thermodynamic resources, one of which include interactions between elements of the quantum working medium.
Ramandeep S. Johal, Venu Mehta
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