Results 31 to 40 of about 15,366,710 (301)
A characterization of regular embeddings of \(n\)-dimensional cubes
Discret. Math., 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Domenico Antonino Catalano, Roman Nedela
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A stability theorem on cube tessellations
Journal of Computational Geometry, 2018 It is shown that if a $d$-dimensional cube is decomposed into $n$ cubes, the side lengths of which belong to the interval $(1 − \frac{n}{1/d 1 +1} , 1]$, then $n$ is a perfect $d$-th power and all cubes are of the same size.
János Pach, Peter Frankl
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Transmitting in the n-dimensional cube
Discrete Applied Mathematics, 1992 It is proved that for any integer \(n\) and for any sequence \(a_ 1,\dots,a_ k\) of \(k=\lceil n/2\rceil\) binary vectors of dimension \(n\) there is a binary vector \(z\) of dimension \(n\) such that the Hamming distance between \(z\) and \(a_ i\) is greater than \(k-i\) for \(i=1,\dots,k\).
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The invariants of n-dimensional Rubik's Cube
, 2021 It is well known that Rubik's cube has a set of group invariants. These values do not change if any layer was rotated, but they can change in case if some of the cubes were removed from the puzzle, mixed up and returned back. In this paper, we generalize the puzzle to the case of an arbitrary dimension after which we describe all the invariants.
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Concave Continuations of Boolean Functions and Some of Their Properties and Applications
Известия Иркутского государственного университета: Серия "Математика"In this paper, it is proved that for any Boolean function of n variables, there are infinitely many functions, each of which is its concave continuation to the n-dimensional unit cube.
D. N. Barotov
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Concave Continuations of Boolean-like Functions and Some of Their Properties
Известия Иркутского государственного университета: Серия "Математика"In this paper, we present concave continuations of discrete functions defined on the vertices of an $n$-dimensional unit cube, an $n$-dimensional arbitrary cube, and an $n$-dimensional arbitrary parallelepiped.
D. N. Barotov
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Учёные записки Казанского университета: Серия Физико-математические науки, 2020 The step Boolean function is a function of the algebra of logic of n Boolean variables, n = 1, 2, … , reducing to 1 on all of the sets of an n -dimensional unit cube, the ordinal numbers of which are not lower than the given set.
S.A. Lozhkin, D.S. Kinzhikeyeva
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Non-existence of nonorientable regular embeddings of n-dimensional cubes
Discrete Mathematics, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Young Soo Kwon, Roman Nedela
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On regular subgraphs of augmented cubes
AKCE International Journal of Graphs and Combinatorics, 2020 The n-dimensional augmented cube AQn is a variation of the hypercube It is a -regular and -connected graph on vertices. One of the fundamental properties of AQn is that it is pancyclic, that is, it contains a cycle of every length from 3 to In this paper,
Amruta Shinde, Y. M. Borse
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FEBS Letters, EarlyView.Mycobacterial 3‐methylcrotonyl‐CoA carboxylase uses a mobile biotin‐carrying domain to shuttle a carboxyl group between two catalytic sites, enabling carboxylation of 3‐methylcrotonyl‐CoA during leucine breakdown. Cryo‐electron microscopy captures the carrier at both sites and reveals an inward loop movement that may prevent futile rebinding to the ...
Ajit Yadav +2 more
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