Balachandran .S
Maths

##### General Details

balamaths.sastra.edu | |

School | School of Humanities & Sciences |

Designation | AP - II |

Department | Maths |

##### Educational Qualifications

M.Sc., M.Phil.,Ph.D. |

##### Areas of Interest

Graph Theory |

Matrix Theory |

##### National/International Conference Presentation Details

Participation Details: |

International Conferences |

1. International conference on Number Theory and Combinatorics,SRC, Kumbakonam, Dec 19-22,2006 |

2.International conference on Number Theory, Theoretical Physics and Special function, Dec 20,21,22, 2007. |

3.International conference on Number Theory and Modular Forms, Dec 20, 21, 22, 2008. |

4.National conference on Vedic and Ancient Indian Mathematics, Feb 18, 19, 2010. |

5.National conference on VEDAS- The Source of all Sciences (VAS 2011), Feb 17, 18, 19, 2011. |

6.National Conference on Graph theory and its Applications, SASTRA University, Kumbakonam, 2012. |

7.International Conference on the Legacy of Ramanujan , Dec 21-22, 2012, Srinivasa Ramanujan Centre, Kumbakonam. |

8.International Conference on Number Theory and Galois Representations, Dec 21-22, 2013, Srinivasa Ramanujan Centre, Kumbakonam. |

9.International Conference on Number Theory, Dec 21-22, 2014, Srinivasa Ramanujan Centre, Kumbakonam. |

10.International Conference on Number Theory, Dec 21-22, 2015, Srinivasa Ramanujan Centre, Kumbakonam. |

11. International Conference on Number Theory, Dec 21-22, 2016, Srinivasa Ramanujan Centre, Kumbakonam. |

##### Factor of Publications

Cumulative Impact Factor of Publications | 12.44 |

##### Ongoing Research Projects

##### Publications

ORCID URL | Please Upload URL |

##### International Journals

Title | Name | Date | Authors |

Bounds on the Second Stage Spectral Radius of Graphs, | International Journal of Computational and Mathematical Sciences | 2009 | S.Balachandran, S.K.Ayyaswamy, K.Kannan |

On Detour Spectra of Some Graphs | International Journal of Computational and Mathematical Sciences | 2010 | S.Balachandran, S.K.Ayyaswamy |

On Second-Stage Spectrum and Energy of a Graph | Kragujevac Journal of Mathematics | 2010 | S.Balachandran, S.K.Ayyaswamy, I.Gutman |

Upper Bound for the Energy of Strongly Connected Digraphs | Applicable Analysis And Discrete Mathematics | 2011 | S.Balachandran, S.K.Ayyaswamy, I.Gutman |

Signless Laplacian Estrada Index | MATCH communications in mathematical and in computer chemistry | 2011 | S.Balachandran, S.K.Ayyaswamy, Y.B.Venkatakrishnan, I.Gutman |

The Randic indices of trees, unicyclic graphs and Bicyclic graphs | Ars Combinatoria | 2016 | S.Balachandran, S.K.Ayyaswamy, Y.B.Venkatakrishnan J. Li, |

The Harmonic index and chromatic number of a graph | Discrete Applied Mathematics | 2013 | H.Deng, S.Balachandran, S.K.Ayyaswamy, Y.B.Venkatakrishnan |

On Harmonic indices of Trees, Unicyclic graphs and Bicyclic graphs | ARS Combinatoria | Accepted | H.Deng,S.Balachandran, S.K.Ayyaswamy,Y.B.Venkatakrishnan |

Harmonic indices of some classes of graphs | Global Journal of Pure and Applied Mathematics | 2013 | Venkatakrishnan, Y.B., Balachandran, S.,Krishnakumari, B. |

On two conjectures of Randi? index and the largest signless Laplacian eigenvalue of graphs | Journal of Mathematical Analysis and Applications | 2014 | Deng, H., Balachandran, S., Ayyaswamy, S.K. |

Multiplicatively weighted Harary index of graphs | Journal of Combinatorial Optimization | 2013 | Deng, H., Krishnakumari, B., Venkatakrishnan, Y.B., Balachandran, S. |

Maximizing the Zagreb indices of (n,m) -graphs | MATCH communications in mathematical and in computer chemistry | Accepted | S.Balachandran; K.Xu; K.C.Das |

The Harmonic indices of Polyomino Chains | National Academy Science Letters | 37(5) 451-455, 2014 | H.Deng, S.Balachandran, S.K.Ayyaswamy, Y.B.Venkatakrishnan |

A Note on Harmonic Index and Coloring Number of a Graph | Ars Combinatoria. | Accepted | H.Deng, S.Balachandran, S.K.Ayyaswamy |

On the eccentric connectivity index of generalized throne graphs | National Academy Science Letters | 38 (2), 165-168, 2015 | Y.B.Venkatakrishnan S.Balachandran, K.Kannan |

State analysis of time –varying singular nonlinear systems using Legendre wavelets | Proyecciones | 34(1), (2015) 68-83. | S.Raja Balachandar, S. G.Venkatesh, S.K. Ayyaswamy, S.Balachandran, |

The Zagreb indices of four operations on graphs | Applied Mathematics and Computation | 275 (2016) 422–431. | H. Deng, D.Sarala, S .K.Ayyaswamy, S.Balachandran |

Extremal properties of some topological indices of graphs | Ars Combinatoria. | Accepted | H. Deng, S. Balachandran, Y.B.Venkatakrishnan |

Trees with Smaller Harmonic Indices | Filomat | 30:11 (2016), 2955–2963 | H.Deng, S.Balachandran, Y.B.Venkatakrishnan S.Raja Balachandar |

##### National Journals

Title | Name | Date | Authors |