Maximum Multiplicity, II

Eigenvalues, Multiplicities and Graphs ◽

10.1017/9781316155158.007 ◽

2018 ◽

pp. 96-109

Keyword(s):

Maximum Multiplicity

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The trees for which maximum multiplicity implies the simplicity of other eigenvalues

Discrete Mathematics ◽

10.1016/j.disc.2005.04.026 ◽

2006 ◽

Vol 306 (23) ◽

pp. 3130-3135

Author(s):

Charles R. Johnson ◽

Carlos M. Saiago

Keyword(s):

Maximum Multiplicity

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Design of Directivity Patterns with a Unique Null of Maximum Multiplicity

IEEE/ACM Transactions on Audio Speech and Language Processing ◽

10.1109/taslp.2015.2504866 ◽

2016 ◽

Vol 24 (2) ◽

pp. 226-235 ◽

Author(s):

Chao Pan ◽

Jacob Benesty ◽

Jingdong Chen

Keyword(s):

Directivity Patterns ◽

Maximum Multiplicity

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A Zero of Maximum Multiplicity

SIAM Review ◽

10.1137/1018121 ◽

1976 ◽

Vol 18 (4) ◽

pp. 763-763

Author(s):

N. Liron

Keyword(s):

Maximum Multiplicity

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Matrix elements of multiple electron exchange between spin functions of maximum multiplicity

Journal of Mathematical Physics ◽

10.1063/1.522912 ◽

1976 ◽

Vol 17 (3) ◽

pp. 431 ◽

Author(s):

M. D. Girardeau

Keyword(s):

Electron Exchange ◽

Matrix Elements ◽

Maximum Multiplicity

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The maximum multiplicity of an eigenvalue in a matrix whose graph is a tree

Linear and Multilinear Algebra ◽

10.1080/03081089908818608 ◽

1999 ◽

Vol 46 (1-2) ◽

pp. 139-144 ◽

Author(s):

C.R. Johnson ◽

António Leal Duarte

Keyword(s):

Maximum Multiplicity ◽

Multiplicity Of An Eigenvalue

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Sequential bifurcations, maximum multiplicity, and chaos for a first order reaction

Mathematical and Computer Modelling ◽

10.1016/0895-7177(88)90517-1 ◽

1988 ◽

Vol 11 ◽

pp. 370-374

Author(s):

David G. Retsloff ◽

Paul C-H. Chan ◽

B.Youssef Bisbis

Keyword(s):

Order Reaction ◽

First Order Reaction ◽

First Order ◽

Maximum Multiplicity

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Reaching the Maximum Multiplicity of the Covalent Chemical Bond

Angewandte Chemie ◽

10.1002/ange.200603600 ◽

2007 ◽

Vol 119 (9) ◽

pp. 1491-1494 ◽

Author(s):

Björn O. Roos ◽

Antonio C. Borin ◽

Laura Gagliardi

Keyword(s):

Chemical Bond ◽

Covalent Chemical Bond ◽

Maximum Multiplicity

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A Zero Of Maximum Multiplicity (N. Liron and L. A. Rubenfeld)

SIAM Review ◽

10.1137/1019119 ◽

1977 ◽

Vol 19 (4) ◽

pp. 743-744

Author(s):

w. B. Jordan

Keyword(s):

Maximum Multiplicity

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Onn-Sums in an Abelian Group

Combinatorics Probability Computing ◽

10.1017/s0963548315000255 ◽

2015 ◽

Vol 25 (3) ◽

pp. 419-435 ◽

Author(s):

WEIDONG GAO ◽

DAVID J. GRYNKIEWICZ ◽

XINGWU XIA

Keyword(s):

Abelian Group ◽

Maximum Multiplicity

LetGbe an additive abelian group, letn⩾ 1 be an integer, letSbe a sequence overGof length |S| ⩾n+ 1, and let${\mathsf h}$(S) denote the maximum multiplicity of a term inS. Let Σn(S) denote the set consisting of all elements inGwhich can be expressed as the sum of terms from a subsequence ofShaving lengthn. In this paper, we prove that eitherng∈ Σn(S) for every termginSwhose multiplicity is at least${\mathsf h}$(S) − 1 or |Σn(S)| ⩾ min{n+ 1, |S| −n+ | supp (S)| − 1}, where |supp(S)| denotes the number of distinct terms that occur inS. WhenGis finite cyclic andn= |G|, this confirms a conjecture of Y. O. Hamidoune from 2003.

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The graphs for which the maximum multiplicity of an eigenvalue is two

Linear and Multilinear Algebra ◽

10.1080/01445340802354580 ◽

2009 ◽

Vol 57 (7) ◽

pp. 713-736 ◽

Author(s):

Charles R. Johnson ◽

Raphael Loewy ◽

Paul Anthony Smith

Keyword(s):

Maximum Multiplicity ◽

Multiplicity Of An Eigenvalue

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