The Characterizations of Hyper-Star Graphs Induced by Linearly Separable Boolean Functions

被引：0
|
作者：
RAO Yanyi [1 ]
ZHANG Xianda [1 ]
机构：
[1] Department of Automation, Tsinghua University
来源：
Chinese Journal of Electronics | 2018年 / 27卷 / 01期
关键词：
Boolean function; Hypercube; Hyper-star; Algorithm;
D O I：
暂无
中图分类号：
O157.5 [图论];
学科分类号：
070104 ;
摘要：
A hyper-star is a graph consisting of the union of some hypercubes with at least one common vertex. The graph induced by a linearly separable Boolean function is a hyper-star. We obtain some properties of hyper-stars and give a decomposition algorithm of a hyperstar. We give a determination condition for a hyper-star.The determination condition yields an algorithm of constructing all hyper-stars of n vertices in time O（n;）.
引用
收藏
页码：19 / 25
页数：7
相关论文
共 16 条
  • [1] The Characterizations of Hyper-Star Graphs Induced by Linearly Separable Boolean Functions
    Rao Yanyi
    Zhang Xianda
    [J]. CHINESE JOURNAL OF ELECTRONICS, 2018, 27 (01) : 19 - 25
  • [2] Topological and communication aspects of hyper-star graphs
    Kim, JS
    Oh, E
    Lee, HO
    Heo, YN
    [J]. COMPUTER AND INFORMATION SCIENCES - ISCIS 2003, 2003, 2869 : 51 - 58
  • [3] Hyper-star graphs: Some topological properties and an optimal neighbourhood broadcasting algorithm
    Zhang, F.
    Qiu, K.
    Kim, J. S.
    [J]. CONCURRENCY AND COMPUTATION-PRACTICE & EXPERIENCE, 2015, 27 (16): : 4186 - 4193
  • [4] Hyper-Star Graphs: Some Topological Properties and an Optimal Neighbourhood Broadcasting Algorithm
    Zhang, F.
    Qiu, K.
    Kim, J. S.
    [J]. ALGORITHMS AND ARCHITECTURES FOR PARALLEL PROCESSING, ICA3PP 2014, PT I, 2014, 8630 : 526 - 534
  • [5] Characterization of Linearly Separable Boolean Functions: A Graph-Theoretic Perspective
    Rao, Yanyi
    Zhang, Xianda
    [J]. IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2017, 28 (07) : 1542 - 1549
  • [6] SIMPLIFIED EXPRESSIONS AND RECOGNITION OF CLASS OF LINEARLY-SEPARABLE BOOLEAN FUNCTIONS
    MANESSE, G
    [J]. COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1970, 270 (13): : 834 - &
  • [7] SOME REMARKS ON TENSORIAL LINEARIZATION OF GENERAL AND LINEARLY SEPARABLE BOOLEAN FUNCTIONS
    CAIANIELLO, ER
    [J]. KYBERNETIK, 1973, 12 (02): : 90 - 93
  • [8] THE HEBB RULE FOR LEARNING LINEARLY SEPARABLE BOOLEAN FUNCTIONS - LEARNING AND GENERALIZATION
    VALLET, F
    [J]. EUROPHYSICS LETTERS, 1989, 8 (08): : 747 - 751
  • [9] Classification and Enumeration of Linearly Separable Boolean Functions Based on Optimal Separation System
    Jin, Wei
    Chen, Fangyue
    He, Qinbin
    [J]. NEURAL PROCESSING LETTERS, 2022, 54 (05) : 3695 - 3704
  • [10] Classification and Enumeration of Linearly Separable Boolean Functions Based on Optimal Separation System
    Wei Jin
    Fangyue Chen
    Qinbin He
    [J]. Neural Processing Letters, 2022, 54 : 3695 - 3704
12