Venkatakrishnan .Y.B Maths
General Details
 Email 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
 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