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31.
HUANG Jia XU Jun-ming 《数学季刊》2005,20(4):430-434
P Kulasinghe and S Bettayeb showed that any multiply-twisted hypercube with five or more dimensions is not vertex-transitive. This note shows that any multiply-twisted hypercube with four or less dimensions is vertex-transitive, and that any multiply-twisted hypercube with three or larger dimensions is not edge-transitive. 相似文献
32.
A code
is called (t, 2)-identifying if for all the words x, y(x y) and
the sets (B
t
(x) B
t
(y)) C and
are nonempty and different. Constructions of such codes and a lower bound on the cardinality of these codes are given. The lower bound is shown to be sharp in some cases. We also discuss a more general notion of
-identifying codes and introduce weakly identifying codes. 相似文献
33.
Young‐Don Ko Pyung Moon Chang Eun Kim Moon‐Ho Ham Myong‐Kee Jeong Alberto Garcia‐Diaz Jae‐Min Myoung Ilgu Yun 《Surface and interface analysis : SIA》2013,45(9):1334-1339
Principal component analysis (PCA)‐based neural network (NNet) models of HfO2 thin films are used to study the process of efficient model selection and develop an improved model by using multivariate functional data such as X‐ray diffraction data (XRD). The accumulation capacitance and the hysteresis index input parameters, both characteristic of HfO2 dielectric films, were selected for the inclusion in the model by analyzing the process conditions. Standardized XRD were used to analyze the characteristic variations for different process conditions; the responses and the electrical properties were predicted by NNet modeling using crystallinity‐based measurement data. A Bayesian information criterion (BIC) was used to compare the model efficiency and to select an improved model for response prediction. Two conclusions summarize the results of the research documented in this paper: (i) physical or material properties can be predicted by the PCA‐based NNet model using large‐dimension data, and (ii) BIC can be used for the selection and evaluation of predictive models in semiconductor manufacturing processes. Copyright © 2013 John Wiley & Sons, Ltd. 相似文献
34.
超方体(d,m)的控制数 总被引:1,自引:0,他引:1
This paper shows that the (d,m)-dominating number of the m-dimensional hypercube Qm(m≥4)is 2 for any integer d.([m/2] ≤d≤m). 相似文献
35.
Let FF_v be the set of faulty nodes in an n-dimensional folded hypercube FQ_n with |FF_v| ≤ n-1 and all faulty vertices are not adjacent to the same vertex. In this paper, we show that if n ≥ 4, then every edge of FQn-FF_v lies on a fault-free cycle of every even length from 6 to 2~n-2|FF_v|. 相似文献
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40.
Hiroshi Maehara Imre Z. Ruzsa Norihide Tokushige 《Periodica Mathematica Hungarica》2009,58(1):121-126
We prove that the n-dimensional unit hypercube contains an n-dimensional regular simplex of edge length c√n, where c > 0 is a constant independent of n.
Supported by MEXT Grant-in-Aid for Scientific Research (B) 20340022. 相似文献