The kth Lower Generalization Bases of Primitive Non-Powerful Nearly Reducible Signed Digraphs

沈佳煜; 高玉斌

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The kth Lower Generalization Bases of Primitive Non-Powerful Nearly Reducible Signed Digraphs

更新时间：2026-09-14

- The kth Lower Generalization Bases of Primitive Non-Powerful Nearly Reducible Signed Digraphs
- 本原不可幂几乎可约定号有向图的k重下广义基
- Vol. 33, Issue 6, Pages: 617-622(2012)
- 作者机构：
  
  中北大学理学院
- 作者简介：
- 基金信息：
- DOI：
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- Published：2012
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沈佳煜, 高玉斌. The kth Lower Generalization Bases of Primitive Non-Powerful Nearly Reducible Signed Digraphs[J]. 2012, 33(6): 617-622.
DOI：

沈佳煜, 高玉斌. The kth Lower Generalization Bases of Primitive Non-Powerful Nearly Reducible Signed Digraphs[J]. 2012, 33(6): 617-622. DOI：

摘要

研究了一类n≥7阶本原不可幂几乎可约定号有向图

结合SSSD途径对和Frobenius数等相关知识

得到了这类有向图的k重下广义基的界

并得出了k取某些特殊值时的重下广义基.

Abstract

A class of primitive non-powerful nearly reducible signed digraphs of order n≥7 was discussed mainly.With knowledge about SSSD walks

and Frobenius number

we obtained bounds of the kth lower generalization bases of the signed digraphs

and also obtained some results on the kth lower generalization base when k was some special value.

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references

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Brualdi R A,Liu Bolian.Generalized exponents ofprimitive directed graphs[J].Graph Theory,1990,14:483-499.

Wang Longqin,Miao Zhengke,Yan Chao.Localbases of primitive non-powerful signed digraphs[J].Discrete Math.,2009,309:748-754.

Liang Chaohua,Liu Bolian,Huang Yufei.The kthlower bases of primitive non-powerful signed digraphs[J].Linear Algebra Appl.,2010,432:1680-1690.

You Lihua,Shao Jiayu,Shan Haiying.Bounds on thebases of irreducible generalized sign pattern matrices[J].Linear Algebra Appl.,2007,427:285-300.

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Shao Yanling,Shen Jian,Gao Yubin.The kth upperbases of primitive non-powerful signed digraphs[J].Discrete Math.,2009,309:2682-2686.

Gao Yubin,Shao Yanling,Shen Jian.Bounds on thelocal bases of primitive nonpowerful nearly reduciblesign patterns[J].Linear and Multilinear Algebra,2009,57:205-215.

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