Venkatakrishnan .Y.B
Maths

##### General Details

venkatakrish2maths.sastra.edu | |

School | School of Humanities & Sciences |

Designation | SAP |

Department | Maths |

##### Educational Qualifications

M.Sc(Mathematics)., Ph.D |

##### Areas of Interest

Domination in graphs. |

##### National/International Conference Presentation Details

1. Presented a paper entitled "Domination in bipartite graphs" at National Conference on Analysis and Graph theory conducted by Bharathidasan University during March 09-10 2007. |

2. Presented a paper entitled "Gallai type theorems involving Domination parameters and Hyper X-independence number" at International Conference on Recent Developments in Combinatorics and Graph theory conducted by Kalasingam University during June 10-14 2007. |

3. Presented a paper entitled "Some Characterization Theorems" at Fourth National Conference on Mathematical and Computational Models conducted by PSG College of Technology, Coimbatore during December 13-15 2007. |

4. Participated in National Seminar on the Spirit, Culture and Relevance of Mathematics conducted by Saraswathi Narayanan College, Madurai during May 27-28 2005. |

5.Participated in International Conference on Number theory and Mathematical Physics conducted by SASTRA University during December 20-21, 2005. |

6.Participated in International Conference on Number theory and Combinatorics conducted by SASTRA University during December 19-21, 2006. |

7. Participated in Srinivasa Ramanujan Memorial Symposium on cryptography conducted by SASTRA University on April 26, 2007. |

8.Participated in the International conference on Number theory, Theoretical Physics and Special Functions conducted by SASTRA University during December 20-22, 2007. |

9.Participated in the International Conference on Number theory and Modular Forms conducted by SASTRA University during December 20-22, 2008. |

10.Participated in International Conference on Discrete Mathematics conducted by University of Mysore during June 6-10, 2008. |

11.Participated in Fifth Annual Instructional Conference of ADMA and Graph Theory Day V conducted by Periyar University, Salem during June 8-10, 2009. |

12.Participated in International conference on Number theory and Mock theta functions conducted by SASTRA University during December 2009. |

13. Participated in International conference on Number theory and Automorphic forms conducted by SASTRA University during December 2010. |

13.Participated in National conference on Vedic and Ancient Indian Mathematics conducted by SASTRA University during February 18-19, 2010. |

14.Participated in International Workshop on Graph Coloring and its Applications conducted by Bharathidasan University during August 7-9, 2010. |

15. Participated in National Conference on VEDAS - The Source of all sciences conducted by SASTRA University during February 17-19, 2011. |

16. Participated in International conference on Number theory, Ergodic theory and Dynamics conducted by SASTRA during December 2011. |

17. Presented a paper "Complementary domination in bipartite graphs" at NCGTGA 2012 conducted by SASTRA University during August 20-21, 2012. |

18. Participated in International conference on Legacy of Srinivasa Ramanujan conducted by SASTRA University during December 2012. |

19. Participated in International Conference on Number Theory and Galois representations conducted by SASTRA University during December 2013. |

20. Participated in Internation conference on Number Theory conducted by SASTRA University during December 2016. |

##### Factor of Publications

Cumulative Impact Factor of Publications | 14.715 |

##### Ongoing Research Projects

Title: Vertex-edge and edge-vertex domination and its variants in graphs. |

Funded by: DST-SERB (MATRICS) |

Duration: 3 years. |

##### Publications

ORCID URL | Click here for Publication Details |

##### International Journals

Title | Name | Date | Authors |

Bipartite theory of irredundant set | Proyecciones Journal of Mathematics | 2011 | Y.B.Venkatakrishnan and V.Swaminathan |

$Y \overline X$ domination in bipartite graphs | Scientia series a Mathematical Sciences | 2011 | Y.B.Venkatakrishnan and V.Swaminathan |

Complementary free domination in bipartite graph | Bulletin of International Mathematical Virtual Institute | 2011 | Y.B.Venkatakrishnan and V.Swaminathan |

Color class domination of Middle graph and center graph of Kn, Cn and Pn | Advanced Modeling and optimization | 2010 | Y.B.Venkatakrishnan and V.Swaminathan |

Hyper Y-domination in Bipartite graphs | International Mathematical Forum | 2009 | Y.B.Venkatakrishnan and V.Swaminathan |

Bipartite theory of Mixed Domination | International Journal of Contemporary Sciences | 2009 | Y.B.Venkatakrishnan and V.Swaminathan |

Bipartite theory on domination in Complement of a graph | International Journal of computational and mathematical Sciences | 2009 | Y.B.Venkatakrishnan and V.Swaminathan |

Bipartite theory of Semigraphs | WSEAS Transactions on Mathematics | 2012 | Y.B.Venkatakrishnan, V.Swaminathan |

$Y \bar Y$ domination in Bipartite graphs | Journal of Informatics and Mathematical Sciences | 2012 | Y.B.Venkatakrishnan, V.Swaminathan |

Signless Laplacian Estrada index | MATCH | 2011 | S.K.Ayyaswamy, S.Balachandran, Y.B.Venkatakrishnan, Ivan Gutman |

X-Color class Domination in Bipartite graphs | Far East Journal of Mathematical Sciences | 2012 | Y.B. Venkatakrishnan and V.Swaminathan |

On graphs with equal chromatic transversal domination and connected domination number | Communication of the Korean Mathematical society | 2012 | S.K.Ayyaswamy, C.Natarajan, Y.B.Venkatakrishnan |

A note on X-domatic number of a bipartite graph | Far East Journal of Mathematical Sciences | 2012 | Y.B.Venkatakrishnan, S.K.Ayyaswamy, V.Swaminathan |

A Note on total global domination of a graph | Journal of Science and Arts | 2011 | Y.B.Venkatakrishnan, V.Swaminathan |

X-indominable Graphs | Journal of Science and Arts | 2012 | Y.B.Venkatakrishnan, V.Swaminathan |

Total dominating set based algorithm for connected dominating set in Ad hoc wireless networks | WSEAS Transactions of Mathematics | 2013 | S.Balaji, K.Kannan, Y.B.Venkatakrishnan |

X-Domatic partition of bipartite graphs | Research Journal of applied Science Engineering Technology | 2013 | Y.B.Venkatakrishnan, V.Swaminathan, K.Kannan |

Hyper domination in bipartite semigraphs | WSEAS Transactions of Mathematics | 2012 | Y.B.Venkatakrishnan, V.Swaminathan |

Super dominating sets in graphs | Proceedings of the National Academy of Sciences, India Section A: Physical Sciences | 2015 | M. Lemanska, V. Swaminathan, Y.B. Venkatakrishnan, R.Zuazua |

Maximal X-domination number of a bipartite graph | European Journal of Scientific Research | 2012 | Y.B.Venkatakrishnan, C. Natarajan, S.K.Ayyaswamy |

A note on complementary tree domination number of a tree | Proyecciones Journal of Mathematics | 2015 | B. Krishnakumari, Y.B. Venkatakrishnan |

Maximal Vertex-edge domination sets in graphs | European Journal of Scientific Research | 2012 | S.Chitra, Y.B.Venkatakrishnan, A.Subramanian |

Bipartite theory on Neighbourhood Dominating and Global Dominating sets of a graph. | Boletim da Sociedade Paranaense de Matemática | 2014 | Y.B.Venkatakrishnan and V.Swaminathan |

Colour class domination number of some classes of graphs | Algebra and Discrete Mathematics | 2014 | Y.B. Venkatakrishnan and V. Swaminathan |

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

Strong nonsplit X-dominating set of bipartite graphs | International Journal of Engineering and Technology | 2013 | Y.B.Venkatakrishnan, V. Swaminathan |

Trees with smaller Harmonic indices | Filomat | 2016 | H. Deng, S. Balachandran, Y.B. Venkatakrishnan, S. Raja Balachandar |

Y-Domatic number of a bipartite graph | Global journal of pure and applied mathematics | 2013 | Y.B.Venkatakrishnan |

Harmonic indices of some classes of graphs | Global journal of pure and applied mathematics | 2013 | Y.B.Venkatakrishnan, S.Balachandran, B.Krishnakumari |

Multiplicatively Weighted Harary index of graphs | Journal of Combinatorial Optimization | 2015 | H. Deng, B.Krishnakumari, Y.B.Venkatakrishnan and S.Balachandran |

Bounds on the hop domination number of a tree | Proceedings of the Indian Academy of Sciences-Mathematical Sciences | 2015 | S.K.Ayyaswamy, B.Krishnakumari, C.Natarajan and Y.B.Venkatakrishnan |

Edge degree weight sum of corona and shawdow graph | Graph Theory Notes of New York | 2014 | Y.B.Venkatakrishnan, C. Natarajan, S.K.Ayyaswamy |

Edge degree weight sum of complementary prism graphs | Graph Theory Notes of New York | 2014 | Y.B.Venkatakrishnan |

Bounds on the vertex-edge domination number of a tree | Comptes rendus mathematique | 2014 | B.Krishnakumari, Y.B.Venkatakrishnan,M. Krzywkowski |

Unicyclic graphs with equal domination and complementary tree domination numbers | Proyecciones Journal of Mathematics | 2016 | B. Krishnakumari, Y.B.Venkatakrishnan |

The Harmonic indices of Polyomino chains | National Academy Science Letters | 2014 | H. Deng, S. Balachandran, S.K. Ayyaswamy, Y.B.Venkatakrishnan |

Double Domination and Super Domination in Trees | Discrete Mathematics algorithms and applications | 2016 | B.Krishnakumari, Y.B. Venkatakrishnan |

A note on complementary nil domination number of a tree | National Academy Science Letters | 2016 | B.Krishnakumari, Y.B. Venkatakrishnan |

On trees with total domination number equal to edge vertex domination number plus one | Proceedings of the Indian Academy of Sciences: Mathematical Sciences | 2016 | B. Krishnakumari, Y.B. Venkatakrishnan and M.Krzywkowski |

Graceful Labeling of Hanging Complete Bipartite Graphs | Applied Mathematical Sciences | 2015 | G. Sathiamoorthy, Y.B. Venkatakrishnan, T.N. Janakiraman |

On the eccentric connectivity index of generalized thorn graphs | National Academy Science Letters | 2015 | Y.B.Venkatakrishnan, S. Balachandran, K. Kannan |

Bipartite Theory of Graphs: Outer independent domination | National Academy Science Letters | 2015 | M.Krzywkowski, Y.B. Venkatakrishnan |

Eccentricity based topological indices of the join of k graphs | International Journal of Pure and Applied mathematics | 2015 | Y.B. Venkatakrishnan, G. Sathiamoorthy |

A note on complementary nil domination number of a tree | National Academy Science Letters | 2015 | B.Krishnakumari and Y.B.Venkatakrishnan |

X-dominating color transversals in bipartite graphs | Boletim da Sociedade Paranaense de Matemática | 2016 | Y.B.Venkatakrishnan, C. Natarajan, S.K. Ayyaswamy |

The Randic index of trees, Unicyclic graphs and Bicyclic graphs | ARS Combinatoria | 2016 | Li JianXi, S.Balachandran, S.K.Ayyaswamy, Y.B.Venkatakrishnan |

On Harmonic indices of Trees, Unicyclic graphs and Bicyclic graphs | Ars Combinatoria | 2017 | H.Deng,S.Balachandran, S.K.Ayyaswamy,Y.B.Venkatakrishnan |

On the average eccentricity, the harmonic index and largest signless laplacian eigenvalue of a graph | Transactions on Combinatorics | 2017 | H. Deng, S. Balachandran, S.K. Ayyaswamy and Y.B. Venkatakrishnan |

Double vertex-edge domination | Discrete Mathematics, algorithms and applications | 2017 | B. Krishnakumari, M. Chellali and Y.B. Venkatakrishnan |

Vertex-edge and connected domination numbers of a tree | International Journal of Pure and Applied Mathematics | 2018 | Y.B. Venkatakrishnan, C. Natarajan, G. Sathiamoorthy |

Outer connected domination number of a tree | Communications of the Korean Mathematical Society | 2018 | B.Krishnakumari and Y.B. Venkatakrishnan |

An improved upper bound of edge-vertex domination number of a tree | Information Processing Letters | 2018 | Y.B. Venkatakrishnan and B. Krishnakumari |

Multiplicative Zagreb indices of some classes of graphs | International Journal of Pure and Applied Mathematics | 2018 | Y.B. Venkatakrishnan, G. Sathiamoorthy, C. Natarajan |

Cactus graphs with equal domination and complementary domination numbers | ARS Combinatoria | 2018 | B. Krishnakumari, Y.B. Venkatakrishnan and S.K. Ayyaswamy |

Extremal properties of some topological indices of Graphs | ARS Combinatoria | 2018 | H. Deng, Y.B. Venkatakrishnan and S. Balachandran |

##### National Journals

Title | Name | Date | Authors |

X-domatic number of VV+(G) and Chromatic number of G | International Journal of mathematical Archives | 2011 | Y.B.Venkatakrishnan and V.Swaminathan |

A study on Stress Management with special reference to a private sector unit | International journal of management | 2010 | C.Vijaya Banu, N. Santhosh and Y.B.Venkatakrishnan |

Domination in Bipartite graphs | Ultra Scientists Journal of Physical Sciences | 2010 | Y.B.Venkatakrishnan and V.Swaminathan |

Colourings in Bipartite graphs | International journal of Computer Applications | 2011 | Y.B.Venkatakrishnan and V.Swaminathan |

X-domatic number of VE(G) and Chromatic number of G | International Journal of Scientific computing | 2008 | Y.B.Venkatakrishnan and V.Swaminathan |