THE EXPONENT SET OF SYMMETRIC PRIMITIVE MATRICES

被引:3
作者
邵嘉裕
机构
[1] Department of Mathematics
[2] Tongji University
[3] Shanghai
关键词
length; THE EXPONENT SET OF SYMMETRIC PRIMITIVE MATRICES; SET;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, we prove that the exponent set of Symmetric primitive matrices is {1, 2, …, 2n —2}\S, where S is the set of all odd numbers in [n,2n-2]. We also give a characterization of symmetric primitive matrices whose exponents reach the upper bound 2n-2.
引用
收藏
页码:348 / 358
页数:11
相关论文
共 14 条
  • [2] The kth Local Exponent of Doubly Symmetric Primitive Digraphs with d Loops
    Chen, Danmei
    SYMMETRY-BASEL, 2022, 14 (08):
  • [3] The Primitive Exponent Set of a Class of Representative Twocolored Digraph in Graph Theory
    Luo, Meijin
    Lu, Yusong
    JOURNAL OF ELECTRICAL SYSTEMS, 2024, 20 (02) : 271 - 281
  • [4] EXPONENTS OF PRIMITIVE COMPANION MATRICES
    Nej, Monimala
    Reddy, A. Satyanarayana
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2019, 49 (05) : 1633 - 1645
  • [5] Exponents of the primitive Boolean matrices with fixed girth
    Yu, Guanglong
    Guo, Shuguang
    Jia, Wenjuan
    Che, Yuhan
    ARS COMBINATORIA, 2019, 143 : 109 - 116
  • [6] Exponents of the primitive Boolean matrices with fixed girth
    Yu, Guanglong
    Guo, Shuguang
    Jia, Wenjuan
    Che, Yuhan
    ARS COMBINATORIA, 2020, 149 : 47 - 54
  • [7] Three notions of tropical rank for symmetric matrices
    Cartwright, Dustin
    Chan, Melody
    COMBINATORICA, 2012, 32 (01) : 55 - 84
  • [8] Non-splitting Tridiagonalization of Complex Symmetric Matrices
    Gansterer, W. N.
    Gruber, A. R.
    Pacher, C.
    COMPUTATIONAL SCIENCE - ICCS 2009, PART I, 2009, 5544 : 481 - +
  • [9] SYMMETRIC SIGN PATTERN MATRICES THAT REQUIRE UNIQUE INERTIA
    Hall Frank J.
    Numerical Mathematics(Theory,Methods and Applications), 2000, (S1) : 12 - 14
  • [10] The Generalized Competition Indices of Doubly Symmetric Primitive Digraphs with d Loops
    Chen, Danmei
    Li, Xiangjun
    SYMMETRY-BASEL, 2022, 14 (06):