FINITENESS CONDITIONS FOR GENERALIZED EXPONENTS OF DIGRAPHS
被引量:5
FINITENESS CONDITIONS FOR GENERALIZED EXPONENTS OF DIGRAPHS
摘要
Necessary and sufficient conditions are given for the finiteness of the generalized exponents expD(k), f(D, k) and F(D, k) for digraphs which are not necessarily primitive. Also the largest finite value of the generalized exponent expD(k) for digraphs of order n is determined and the complete characterizations of the extreme digraphs are given.
同被引文献18
-
1柳柏濂.关于本原矩阵的本原指数集的分布[J].数学学报(中文版),1989,32(6):803-809. 被引量:18
-
2陈佘喜.对称本原图的集指数与本原简单图的广义上指数的极图[J].应用数学学报,2005,28(2):243-252. 被引量:2
-
3柳柏濂,李乔良.本原矩阵严格完全不可分解指数的一个猜想[J].中国科学(A辑),1995,25(9):920-926. 被引量:1
-
4邵嘉裕.对称本原阵的指数集[J].中国科学:A辑,1986,9:931-939.
-
5Brualdi R A,Liu Bolian. Generalized exponents of primitive directed graphs [J]. J of Graph Theory, 1990,14(4) :483 -499.
-
6Bondy J A,Murty U S R. Graph theory with applications[M]. London: The Macmillon Press, 1976.
-
7R.A. Brualdi,J.A. Ross.On the Exponent of a Primitive Nearly Reducible Matrir. Mathematics of Operations Research . 1980
-
8R.A. Brualdi,Liu Bolian.Generalized Exponents of Primitive Directed Gtaphs. Journal of Graph Theory . 1990
-
9Shao Jiayu,Hwang Suk-guen.Generalized Exponents of Non-primitive Graphs. Linear Algebra and Its Applications . 1998
-
10Zhou Bo.Matrices with Maximum Upper Multiexponents in the Class of Primitive, Nearly ReducibleMatrices. Taiwan Residents Journal of Mathematics . 1998
引证文献5
-
1庄晓琼.一类非本原有向图第k个顶点指数集[J].华南理工大学学报(自然科学版),2004,32(6):85-88.
-
2陈佘喜.上本原对称有向图上广义指数的极图[J].系统科学与数学,2009,29(3):309-314.
-
3周波.ON THE UPPER GENERALIZED EXPONENTS OF MINISTRONG DIGRAPHS[J].Acta Mathematicae Applicatae Sinica,2001,17(3):426-429.
-
4周波.有向图的上广义指数(英文)[J].数学进展,2000,29(6):499-506. 被引量:4
-
5黄宇飞,柳柏濂.组合矩阵的结构指数——组合矩阵指数的系统化[J].数学进展,2016,45(2):161-175. 被引量:1
二级引证文献5
-
1陈小亘,彭宏.恰有d个顶点带环的本原有向图的公共后继的界(英文)[J].华南理工大学学报(自然科学版),2005,33(7):101-104.
-
2陈佘喜.上本原对称有向图上广义指数的极图[J].系统科学与数学,2009,29(3):309-314.
-
3周波.ON THE UPPER GENERALIZED EXPONENTS OF MINISTRONG DIGRAPHS[J].Acta Mathematicae Applicatae Sinica,2001,17(3):426-429.
-
4黄宇飞.本原不可幂广义符号矩阵的若干结构指数的界[J].华南师范大学学报(自然科学版),2020,52(1):91-99. 被引量:1
-
5Xiaogen Chen.On the Set of 2 - Common Consequent of Primitive Digraphs with Exact <i>d</i>Vertices Having Loop[J].Applied Mathematics,2012,3(12):1959-1962.
-
1吕华平.二维弱耦合混沌振子的相互作用[J].曲靖师范学院学报,2003,22(3):38-41.
-
2杨士林.具某些有限条件的半素环[J].数学杂志,1996,16(3):348-350. 被引量:1
-
3WU XUE-SONG GAO WEN-JIE.Blow-up vs.Global Finiteness for an Evolution p-Laplace System with Nonlinear Boundary Conditions[J].Communications in Mathematical Research,2009,25(4):309-317.
-
4WU Wen inn(WU Wen-tsun)(Institute of Systems Science, Academia Sinica, Beijing 100080, China).ON A FINITENESS THEOREM ABOUT PROBLEMS INVOLVING INEQUALITIES[J].Systems Science and Mathematical Sciences,1994,7(3):193-200. 被引量:8
-
5周波.ON THE UPPER GENERALIZED EXPONENTS OF MINISTRONG DIGRAPHS[J].Acta Mathematicae Applicatae Sinica,2001,17(3):426-429.
-
6东瑜昕,嵇庆春,张玮.FINITENESS OF HIGHER CODIMENSIONAL DISJOINT MINIMAL GRAPHS[J].Acta Mathematica Scientia,2010,30(1):107-112.
-
7吕新民.1-群的链条件[J].南方冶金学院学报,1990,11(4):92-98. 被引量:8
-
8吕华平,何岱海,高建,胡岗.弱耦合Rssler振子中广义扩展相的周期态[J].北京师范大学学报(自然科学版),2002,38(3):356-359.
-
9牛娟宁,黎奇升.完备模格的有限条件[J].数学理论与应用,2015,35(1):15-24.
-
10王权锋,何维刚,陈聆,洪志全.在有限条件下努力工作的模型研究及其推广[J].物探化探计算技术,2002,24(3):284-286.