TY - JOUR AU - Rani, M. AU - Dharmalingam, K. M. PY - 2016 TI - Equitable Associate Fuzzy Graph of a Fuzzy Graph JO - Journal of Mathematics and Computer Science SP - 1-7 VL - 16 IS - 1 AB - Let \(G= (V, \sigma, \mu)\) be a fuzzy graph. Let \(H\) be the graph constructed from \(G\) as follows \(V(H) =V(G)\), two points \(u\) and \(v\) are adjacent in \(H\) if and only if \(u\) and \(v\) are adjacent and degree fuzzy equitable in \(G\). \(H\) is called the adjacency inherent fuzzy equitable graph of \(G\) or fuzzy equitable associate graph of \(G\) and is denoted by \(e^{ef}(G)\). In this paper we introduced the concept of fuzzy equitable associate graph and obtain some interesting results for this new parameter in fuzzy equitable associate graph. SN - ISSN 2008-949X UR - http://dx.doi.org/10.22436/jmcs.016.01.01 DO - 10.22436/jmcs.016.01.01 ID - Rani2016 ER - TY - JOUR TI - Towards a theory of domination in graphs AU - E. J. Cockayne AU - S. T. Hedetniemi JO - Networks PY - 1977 DA - 1977// VL - ID - Cockayne1977 ER - TY - JOUR TI - Equitable Domination in Fuzzy Graphs AU - K. M. Dharmalingam AU - M. Rani JO - Int. J. Pure Appl. Math. PY - 2014 DA - 2014// VL - 94 ID - Dharmalingam2014 ER - TY - JOUR TI - Equitable Associate Graph of a Graph AU - Kuppusamy Markandan Dharmalingam JO - Bull. Int. Math. Virtual Inst. PY - 2012 DA - 2012// VL - 2 ID - Dharmalingam2012 ER - TY - BOOK TI - Fuzzy graphs and Fuzzy Hyper graphs AU - J. N Mordeson AU - P. S Nair PB - Physica Verlag, Heidelberg, (1998), Second edition PY - 2001 DA - 2001// CY - ID - Mordeson2001 ER - TY - JOUR TI - Domination in Fuzzy Graph AU - A. Nagoor Gani AU - V. T. Chandra Sekaran JO - Adv. Fuzzy Sets Syst. PY - 2006 DA - 2006// VL - 1 ID - Gani2006 ER - TY - JOUR TI - Contribution to the theory of Domination, Independence and Irredundance in Fuzzy graph AU - A. Nagoor Gani AU - P. Vadivel JO - Bull. Pure Appl. Sci. Sect. E Math. Stat. PY - 2009 DA - 2009// VL - 28 ID - Gani2009 ER - TY - JOUR TI - Fuzzy graphs, in, L. A. Zadeh, K. S. Fu, M. Shimura (Eds) AU - A. Rosenfeld JO - Fuzzy sets and their Applications to congnitive and Decision Processes, Academic Press, New York PY - 1975 DA - 1975// VL - ID - Rosenfeld1975 ER - TY - JOUR TI - Strong, weak domination and domination balance in a graph AU - E. Sampath Kumar AU - L. Puspalatha JO - Discrete Math. PY - 1996 DA - 1996// VL - 161 ID - Kumar1996 ER - TY - JOUR TI - Domination in Fuzzy Graphs-I AU - A. Somasundaram AU - S. Somasundaram JO - Elsevier Science PY - 1998 DA - 1998// VL - 19 ID - Somasundaram1998 ER - TY - JOUR TI - Degree Equitable Domination on Graphs AU - V. Swaminathan AU - K. M. Dharmalingam JO - Kragujevac J. Math. PY - 2011 DA - 2011// VL - 35 ID - Swaminathan2011 ER - TY - JOUR TI - Neighborhood number in Graphs AU - Z. Tahmasbzadehbaee AU - N. D. Soner AU - D. A. Mojdeh JO - J Math. Comput. Sci. PY - 2012 DA - 2012// VL - 5 ID - Tahmasbzadehbaee2012 ER -