Results 1 to 10 of about 202,054 (164)
Perfect Matchings and Perfect Powers [PDF]
Journal of Algebraic Combinatorics, 2003 In the last decade there have been many results about special families of graphs whose number of perfect matchings is given by perfect or near perfect powers. In this paper we present an approach that allows proving them in a unified way. We use this approach to prove a conjecture of James Propp stating that the number of tilings of the so-called Aztec
Mihai Adrian Ciucu
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Perfect codes in power graphs of finite groups
Open Mathematics, 2017 The power graph of a finite group is the graph whose vertex set is the group, two distinct elements being adjacent if one is a power of the other. The enhanced power graph of a finite group is the graph whose vertex set consists of all elements of the ...
Ma Xuanlong +4 more
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Sieve algorithms for perfect power testing [PDF]
Algorithmica, 1993 Many tests for primality of \(n\) first require the elimination of the case where \(n\) is a perfect \(k\)-th power. This is negligible compared with the main primality routines, so it is usually ignored. There is a rich variety of methods including Newton's root extraction with starting value found by counting digits, modular tests for \(k\) power and
Eric Bach 0001, Jonathan P. Sorenson
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Exploration of CPCD number for power graph
مجلة بغداد للعلوم, 2023 Recently, complementary perfect corona domination in graphs was introduced. A dominating set S of a graph G is said to be a complementary perfect corona dominating set (CPCD – set) if each vertex in is either a pendent vertex or a support vertex and ...
S. Anuthiya, G. Mahadevan, C. Sivagnanam
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Analysis and Optimization for Downlink Cell-Free Massive MIMO System with Mixed DACs
Sensors, 2021 This paper concentrates on the rate analysis and optimization for a downlink cell-free massive multi-input multi-output (MIMO) system with mixed digital-to-analog converters (DACs), where some of the access points (APs) use perfect-resolution DACs, while
Meng Zhou +4 more
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Best System of Creation according to Transcendent Philosophy [PDF]
حکمت صدرایی, 2019 Best system of creation means the best and most perfect system that God created. The question is that whether this actual creation system is the most perfect possible world or not.
sayyad hasan bathayi
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A UNIQUE PERFECT POWER DECAGONAL NUMBER [PDF]
Bulletin of the Australian Mathematical Society, 2021 AbstractLet $\mathcal {P}_s(n)$ denote the nth s-gonal number. We consider the equation $$ \begin{align*}\mathcal{P}_s(n) = y^m \end{align*} $$ for integers $n,s,y$ and m. All solutions to this equation are known for $m>2$ and $s \in \{3,5,6,8,20 \}$ . We consider the case $s=10$ , that of decagonal numbers. Using a descent argument and the
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ON PERFECT POWERS IN LUCAS SEQUENCES [PDF]
International Journal of Number Theory, 2005 Let (un)n≥0be the binary recurrence sequence of integers given by u0= 0, u1= 1 and un+2= 2(un+1+ un). We show that the only positive perfect powers in this sequence are u1= 1 and u4= 16. We further discuss the problem of determining perfect powers in Lucas sequences in general.
Bugeaud, Yann +3 more
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Self-induced transparency in a perfectly absorbing chiral second-harmonic generator
PhotoniX, 2022 Transparency and perfect absorption are two contradictory terms; a perfect absorber never permits waves to transmit through. However, this statement only remains true in the linear regime, where the nonlinearity has been omitted and the physical system ...
Jiankun Hou +10 more
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Perfect Invisibility Modes in Dielectric Nanofibers
Photonics, 2023 With the help of the original mathematical method for solving Maxwell’s equations, it is shown that in dielectric waveguides along with usual waveguides and quasi-normal modes, there are perfect invisibility modes or perfect non-scattering modes.
Vasily V. Klimov, Dmitry V. Guzatov
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