Results 51 to 60 of about 5,839 (198)

Properties of Complete Sets of Mutually Equiorthogonal Frequency Hypercubes

open access: yes, 1997
A complete set of mutually equiorthogonal frequency hypercubes (MEFH) of ordern and dimensiond, usingm distinct symbols, has (n−1) d /(m−1) hypercubes. In this article, we explore the properties of complete sets of MEFH.
Morgan, Ilene H.
core   +1 more source

Q-Counting Hypercubes in Lucas Cubes

open access: yes, 2018
Lucas and Fibonacci cubes are special subgraphs of the binary hypercubes that have been proposed as models of interconnection networks. Since these families are closely related to hypercubes, it is natural to consider the nature of the hypercubes they ...
Ömer EĞECİOĞLU   +5 more
core   +1 more source

The Path-Distance-Width of Hypercubes

open access: yesDiscussiones Mathematicae Graph Theory, 2013
The path-distance-width of a connected graph G is the minimum integer w satisfying that there is a nonempty subset of S ⊆ V (G) such that the number of the vertices with distance i from S is at most w for any nonnegative integer i.
Otachi Yota
doaj   +1 more source

Partitioning the hypercube into smaller hypercubes

open access: yesIllinois Journal of Mathematics
Proofs slightly shortened and referee comments ...
Alon, Noga   +2 more
openaire   +3 more sources

Rigid pentagons in hypercubes

open access: yes, 1988
Two sets of vertices of a hypercubes in Rn and Rm are said to be equivalent if there exists a distance preserving linear transformation of one hypercube into the other taking one set to the other.
Deza, M., Singhi, N. M.
core   +1 more source

The result with different hypercubes.

open access: yes, 2023
(A) is the result of a cluster. (B) is the result with only one hypercube, the explanations generated from the light blue part are meaningless and redundant. (C) is the result with multiple hypercubes, where each instance is deemed as a hypercube.
Zehua Zhang (312656)   +2 more
core   +1 more source

Explicit computation of the variance of the number of maxima in hypercubes [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2006
We present a combinatorial approach of the variance for the number of maxima in hypercubes. This leads to an explicit expression, in terms of Multiple Zeta Values, of the dominant term in the asymptotic expansion of this variance.Moreover, we get an ...
Christian Costermans, Hoang Ngoc Minh
doaj   +1 more source

On the classification of nonsingular 2x2x2x2 hypercubes

open access: yes, 2013
As a first step in the classification of nonsingular 2x2x2x2 hypercubes up to equivalence, we resolve the case where the base field is finite and the hypercubes can be written as a product of two 2x2x2 hypercubes.
Coolsaet, Kris, Kris Coolsaet
core   +1 more source

Efficient Multicast in All-Port Wormhole-Routed Hypercubes

open access: yes, 1995
This paper addresses the problem of collective data distribution, specifically multicast, in wormhole-routed hypercubes. The system model allows a processor to send and receive data in all dimensions simultaneously.
David F. Robinson   +4 more
core  

Affine Geometries and Sets of Equiorthogonal Frequency Hypercubes

open access: yes, 2000
Equiorthogonal frequency hypercubes are one particular generalization of orthogonal latin squares. a complete set of mutually equiorthogonal frequency hypercubes (MEFH) of order n and dimension d, using m distinct symbols, has (n − 1)d/(m − 1) hypercubes.
Morgan, Ilene H.
core   +1 more source

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