International Research journal of Management Science and Technology

  ISSN 2250 - 1959 (online) ISSN 2348 - 9367 (Print) New DOI : 10.32804/IRJMST

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A STUDY ON GRAPH STRUCTURE WITH HELP OF LAPLACIAN MATRIX

    3 Author(s):  SAANIDHYA DUBEY, DR VIPIN KUMAR TYAGI, DR. SUDHIR PRAKASH

Vol -  13, Issue- 11 ,         Page(s) : 97 - 106  (2022 ) DOI : https://doi.org/10.32804/IRJMST

Abstract

The graph theory was started by Euler’s paper in 1736 with Konigsberg bridge problem. But next 100 years nothing more was done in this field. In 1847, Kirchhoff described about trees & their application in field of electrical Network system. After ten year in 1857, Cayley tried to enumerate the isomer of saturated hydrocarbons.

[1] W. N. Anderson and T. D. Morley, Eigenvalues of the Laplacian of a graph, Linear and Multilinear Algebra, 18, 141-145, 1985. 
[2] R. B. Bapat and SukantaPati, Algebraic connectivity and the characteristic set of a graph, Linear and Multilinear Algebra, vol 45, 247-273, 1998.
 [3] S. Barik and S. Pati, On algebraic connectivity and spectral integral variations of graphs, Linear Algebra and its Applications, 397, 209-222, 2005. [4] S. Barik, A. K. Lal and S. Pati, On trees with Laplacian eigenvalue one, Linear and Multilinear Algebra, Accepted. 

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