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UPPER AND LOWER BOUNDS FOR THE POWER OF EIGENVALUES IN SEIDEL MATRIX
UPPER AND LOWER BOUNDS FOR THE POWER OF EIGENVALUES IN SEIDEL MATRIX
IRANMANESH, ALI;FARSANGI, JALAL ASKARI
Journal of applied mathematics & informatics. 2015. Sep, 33(5_6): 627-633
DOI : http://dx.doi.org/10.14317/jami.2015.627
  • Received : January 05, 2015
  • Published : September 30, 2015
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IRANMANESH, ALI
FARSANGI, JALAL ASKARI
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IRANMANESH, ALI
FARSANGI, JALAL ASKARI
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Abstract
In this paper, we generalize the concept of the energy of Seidel matrix S(G) which denoted by S<sup>��</sup>(G) and obtain some results related to this matrix. Also, we obtain an upper and lower bound for S<sup>��</sup>(G) related to all of graphs with |detS(G)| �� (n - 1); n �� 3.
Keywords
Graph eigenvalue ;  Seidel matrix ;  Conference matrix ;  Power of eigenvalue ;  Nonlinear programming ;  KKT method
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Citing 'UPPER AND LOWER BOUNDS FOR THE POWER OF EIGENVALUES IN SEIDEL MATRIX '
@article{ E1MCA9_2015_v33n5_6_627} ,title={UPPER AND LOWER BOUNDS FOR THE POWER OF EIGENVALUES IN SEIDEL MATRIX} ,volume={5_6} , url={http://dx.doi.org/10.14317/jami}, DOI={10.14317/jami} , number= {5_6} , journal={Journal of applied mathematics & informatics} , publisher={Korean Society of Computational and Applied Mathematics} , author={ALI, IRANMANESH and JALAL ASKARI, FARSANGI} , year={2015} , month={Sep}