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Faculty Profile

 
Name Dr.Mrs.K.AMEENAL BIBI DR.AMEENAL-BIBI  
Educational Qualification M.Sc.,M.Phil.,M.Ed.,Ph.D
Experience  35 Years
Designation Head & Associate Professor
Field of Specialization Graph Theory
Research Experience 15 years
Research Supervision Ph.D M.Phil
  • Guided 40 Students of IDE, Periyar University,Annamalai University and Vinayaka Mission University.
  • 7 M.Phil., Students in D.K.M. College
  • 5 M.Phil., Students in D.K.M. College(Ongoing)
  • 7 Ph. D students (Full Time & Part – time ongoing)
Research Projects Nil
Publications 80
Academic Responsibilities
  • Disciplinary Committee Member
  • Library Committee Member
Participation in Extension activities
  •  Organized an Extension Activity on “Child Labour” on 5th, 6th , 7th October 2010 at R.N.Palayam, Vellore. It was Sponsored by UGC and the report was submitted to the Principal 12.10.2010.
  • Member, IQAC
Membership in Professional and other bodies
  1.  Life Member of ADMA ( Academy of Discrete Mathematics & Application).
  2. Member, Tamil Nadu Science Forum, Vellore Dt.
  3. Member, District Fairness Committee on submission made by the District Employment Officer, Vellore Dt.
  4. Life Member, IRCS, Vellore Dt. Branch Member, TN Science Forum
Honours and Awards received
  1.  Best YRC District Programme Officer Award (2013 & 2005)
  2. Best Outgoing student award during UG(1982) and PG(1984).
  3. Best YRC District Organizer Award (2007) Award(2005)
Any other information
  1.  Member in Board of studies.
  2. Vice President of Mathematics Association Meetings.
  3. Organized Dist. & State Level Seminar in Mathematics.
  4. Resource person for district & state level Youth Red Cross Meetings.
  5. College Union Office bearer.
List of the PhD scholars
S.No. Name Batch Thesis topic Status
1. L.Jethruth Emelda Mary (2016-2019) DOMINATED COLOURING AND ITS RELATED PARAMETERS. Thesis Submitted
2. S.E.  Annie Jasmine (2016-2019) INVERSE DOMINATION NUMBER OF A GRAPH. Thesis Submitted  
3. A.Lakshmi (2016-2019) A STUDY ON DOMINATION PARAMETERS IN GRAPHS. Thesis Submitted  
4. B.Vijayalakshmi (2016-2019)  SPECTRAL GRAPH THEORY. Thesis Submitted
5. T.Ranjani (2016-2018) A STUDY ON LABELING IN GRAPHS. Completed  
6. M.Devi (2016-2018) A STUDY ON FUZZY GRAPHS. Thesis Submitted  
7. P.Rajakumari (2017-2019) DOMINATION AND OTHER GRAPH THEORETIC PARAMETERS. Synopsis Submitted  
Research Papers Published in Referred Journals by Faculties
  1. K.Ameenal Bibi and R.Selvakumar (2008) “Domination Partition in Graphs”. Bulletin ofPure and Applied Sciences, July 2008,Vol.27E(No.2) pp:349-355.
  2. K.Ameenal Bibi and R.Selvakumar (2010) “The Inverse Strong non-split r- Domination number of a Graph” .International Journal of Engineering,Science and Technology, January2010 ,ISSN:0975-5462.Vol.2,No.1,pp:127-133. www.ijest_ng.comFor printed version:2141-2820.For online version:2141-2839
  3. K.Ameenal Bibi and R.Selvakumar (2010) “The Inverse Split and non-Split domination numbers in Graphs”.International Journal of  Computer Applications,ISSN:0975-8887,IJCADL, Newyork, USA,October 2010.www.ijcaonline.org.
  4. K.Ameenal Bibi and R.Selvakumar (2010) “Inverse Domination in Semi-total block Graphs”.International Journal of Computer Applications,ISSN:0975-8887,IJCADL,Newyork,USA,October 2010.www.ijca online.org
  5. K.Ameenal Bibi and T.Ranjani, “Edge Odd Graceful Labeling on Circulant Graphs”.International Research Journal in Advanced Engineering and Technology(IRJAET)E-ISSN:2454-4752.Printed :ISSN:2454-4744.Vol.2 Issue 6(2016) pp1427-1431.
  6.  K.Ameenal Bibi and T.Ranjani, “Total Bi-magic Circulant Graphswith generating sets(1,2,3,4)and (1,2,3,4,5)” .Global Journal of Pure and Applied Mathematics.ISSN:0973- 1768.Vol.13 No.7 (2017) pp 3789- 3799.
  7. K.Ameenal Bibi and T.Ranjani, “Edge Even Graceful Labeling with Different GeneratingSets” Global Journal of Pure and Applied Mathematics.ISSN:0973-1768.Vol.13.No.9(2017)pp:4555-4567.
  8. K.Ameenal Bibi and T.Ranjani, “Anti-magic Labeling on Some Star Related Graphs”.International Journal of Advanced Research in Computer Science.ISSN:0976-5697.Vol.8,No.6,July 2017 (Special Issue III).
  9. K.Ameenal Bibi and T.Ranjani, “Edge Odd Graceful Labeling On Circulant Graphs with Different Generating Sets”.International Journal of Mathematics and Applications.ISSN:2347-1557,Vol.5,Issue 3-B(2017),145-150.
  10. K.Ameenal Bibi and T.Ranjani, “Edge Even Graceful Labeling on  Circulant Graphs”.International Journal of Mathematics Trends and Technology.(IJMTT)ISSN:2231- 5373.Vol.48.No.5 August (2017).
  11. K.Ameenal Bibi and T.Ranjani, “Some Results on Mean Anti- magic Labeling in Graphs”.International Journal of Pure and Applied Mathematics.ISSN:1311-8080 (Printed Version),ISSN:1314-3395(OnlineVersion) Special IssueVol.117.No.12,2017,133-138.
  12. K.Ameenal Bibi and T.Ranjani, “Signed Mean E- Cordial Labeling in Graphs”. International Journal of Engineering Science and Mathematics”.ISSN:2320-0294.Vol.7.Issue 4,April 2018.
  13. K.Ameenal Bibi and T.Ranjani, “ Fibonacci Mean Anti-magic Labeling of Some Graphs”.International Journal of Kongunadu Arts and Science College.ISSN:2349-2364.
  14. K.Ameenal Bibi and T.Ranjani, “ Prime E-Cordial Labeling of Some Special Graphs”.Journal of Emerging Technologies and Innovative Research(JETIR),ISSN:2349-5162.Vol.5,Issue 7,July 2018.
  15. K.Ameenal Bibi, P.Rekha and T.Ranjani, “Cordial Double Staircase Graphs” Global Journal of Pure and Applied Mathematics.ISSN:0973-1768.Vol.13.No.7(2017) pp:3395-3401.
  16. K.Ameenal Bibi and P.Rajakumari, “Strong and Weak Domination of Middle Graphs of Path and Cycle Graphs”. International Journal of Advanced Research.ISSN:Online:2319-6475.July 2017.Special Issue Vol,8 Issue 6 pp:186-189.
  17. K.Ameenal Bibi and P.Rajakumari, “The Split Domination, Inverse Domination and Equitable Domination in the middle and the Central Graphs of the Path and the Cycle Graphs.” International Journal of Mathematics Trends and Technology.ISSN:2231-373.Vol.49 No. 3.September 2017.
  18. K.Ameenal Bibi and P.Rajakumari,”On (1,2)-Two outdegree Equitable Domination number of  Some Middle Graph Families”.International Journal of Current Advanced Research ISSN:Online2319-6475.ISSN:Printed:2319-6505.Impact Factor:SJIF:6.614.
  19. K.Ameenal Bibi and P.Rajakumari, “Two Outdegree Equitable Domination number in the Middle,Central and V-Obrazom of Path Pn,Cycle Cn and K1,n.Komgunadu Research Journal:ISSN:2349-2694.
  20. K.Ameenal Bibi and P.Rajakumari, “Strong Equitable and Inverse Strong EquitableDomination number of Some Special Classes of Graphs” .Journal of Statistics and Applied Mathematics.ISSN:2456-1452.
  21. K.Ameenal Bibi and P.Rajakumari, “Results on the Equitable Domination and Inverse Equitable Domination Numbers for some classes of Graphs”.Journal of Emerging Technologies and Innovative Research.ISSN:2349-5162.
  22.  K.Ameenal Bibi and P.Rajakumari, “Neighbourhood Connected Two Out-degree Equitable Domination of the V-Obrazom Graphs of Pn,Gn and Hn”.International Journal of Engineering and Technology (Scopus)ISSN:2227- 524X.
  23. K.Ameenal Bibi and P.Rajakumari, “Inverse Split and Inverse non-Split Two Out-degree Equitable Domination number of the V-Obrazom of Some Special Classes of Graphs”.American International Journal of Research in Science,Technology,Engineering and Mathematics.ISSN:2328-3580.
  24.  K.Ameenal Bibi and P.Rajakumari, “Distance – 2 Domination Integrity of Zero Divisor Graph Over ring Zn”.International Journal of Research in Advanced Technology.Vol.7.No.4April 2019.E-ISSN:2321-9637.
  25. K.Ameenal Bibi and P.Rajakumari, “On (1,2)-Blast Domination Number for Some total Graphs”.International Journal of Innovative Technology and Exploring Engineering(Scopus)ISSN:2278-3075.
  26. K.Ameenal Bibi and P.Rajakumari, “Blast Domination Transition for the V-Obrazom of Zero Divisor Graphs Over the ring Zn”.International Journal of Mathematics (Anna University Annexture).
  27. K.Ameenal Bibi and P.Rajakumari, “Inverse Blast Distance -2 Domination number of v-Obrazom”.International Journal of Applied and Computational Mathematics.
  28. K.Ameenal Bibi and P.Rajakumari,“ The Blast Domination in Mycielskis Graph of Graphs and Zero Divisor Graphs”.International Journal of Advanced Intelligence Paradigms(Scopus).
  29. K.Ameenal Bibi and M.Devi, ”A Note on Fuzzy Vertex Graceful Labeling on Some Special Graphs”.International Journal of Advanced Computer Research.ISSN:Online:2319-6475.ISSN:prnted :2319-6505.Vol.8,No.6,july 2017(Special Issue III).
  30. K.Ameenal Bibi and M.Devi, “Fuzzy Bi-magic Labeling on Cycle and Star Graphs”.Global Journal of Pure and Applied Mathematics.ISSN:0973-1768.Vol.13,No.6 (2017)pp:1975-1985(Scopus).
  31. K.Ameenal Bibi and M.Devi, “Bi-magic Labeling on Interval –Valued Fuzzy Graphs”Advances in Fuzzy Mathematics.ISSN:0974-0201.Vol.12,No.3(2017) pp:645-656.
  32. K.Ameenal Bibi and M.Devi, “Fuzzy Vertex Graceful Labeling on Double Fan Graph and Double wheel Graph”.International Journal of computational and Applied Mathematics.ISSN:1819-4966.Vol.12.No.392017) pp:729-736.
  33. K.Ameenal Bibi and M.Devi,”Bi-magic Labeling on Interval Valued Intuitionistic Fuzzy Graphs”.International Journal of Current Advanced Research ISSN:Online:2319-6475.ISSN:Printed:2319-6505.Vol.7Issue1,Special Issue,January 2018.pp:24-31.
  34. K.Ameenal Bibi and M.Devi, “Fuzzy Anti-magic Labeling on Some Graphs”.Kongunadu Research journal .ISSN:2349-2694.Vol.5.Issue 1,(2018) pp:08-14.
  35. K.Ameenal Bibi and M.Devi, “A Survey on Fuzzy Labeling in Graphs “.American International Journal of Research in Science,Technology,Engineering and Mathematics.ISSN:2328-3580.
  36. K.Ameenal Bibi and M.Devi and Hossein Rashmanlou, “New Concepts in Intuitionistic Fuzzy Labeling in Graphs”.International Journal of Advanced Intelligence Paradigms.Scopus indexed (Elsevier).
  37.  K.Ameenal Bibi and M.Devi, “Properties of an Intuitionistic Fuzzy Labeling Graph”.International Journal of Mathematical and Fundamental Sciences.
  38. K.Ameenal Bibi and S.E.Annie Jasmine, “Secure Triple Connected Domination Number of a Graph”.Journal of Informatics Sciences.(JIMS)Vol.9,No.3,pp:923-925,2017.
  39. K.Ameenal Bibi and S.E.Annie Jasmine, “Secure Complementary Tree Domination Number of a Graph”.International Journal of Mathemtics Trends and Technology (IJMTT)Vol.49.September 2017,pp:37-41.
  40. K.Ameenal Bibi and S.E.Annie Jasmine, “Inverse Connected and Disjoint Connected Domination Number of a Jump Graph”.International Journal of Engineering and Technology-(UAE) Special Issue,Vol. 4,October 2018.
  41. K.Ameenal Bibi and S.E.Annie Jasmine, “Inverse and Disjoint Co-total Domination Number of the Jump Graph of a Graph”.International Journal of Research and Analytical Review(IJRAR),Issue 4,Vol.5,December, 2018.
  42. K.Ameenal Bibi and S.E.Annie Jasmine, “Cototal Domination Number of Jump Graph of a Graph”.American International Journal of Research in Science,Technology,Engineering and Mathematics.ISSN:Print:2328-3491,2019.
  43. K.Ameenal Bibi and S.E.Annie Jasmine, “Inverse and Disjoint Connected Cototal Domination Number of Jump Graph of a Graph”.International Journal of Research in Advanced Technology.Vol.7,No.1,January 2019.
  44. K.Ameenal Bibi and S.E.Annie Jasmine, “Connected Cototal Domination Number of Jump Graph of a Graph”.International Journal of Applied Engineering Research,Vol.14,No.3,2019(Special Issue).
  45. K.Ameenal Bibi and S.E.Annie Jasmine, “Equitable Cototal and Inverse Equitable Cototal Domination Number of Jump Graph of a Graph”.
  46. K.Ameenal Bibi and S.E.Annie Jasmine, “Inverse and Disjoint Secure Complementary Tree Domination Number of a Graph”.Journal of  Emerging Technologies and Innovative Research May,2019.
  47. K.Ameenal Bibi and A.Lakshmi. “The Inverse Accurate Domination in Graphs,” Sacred     Heart journal of science and Humanities, Special vol.6, No.2, pp:144 -155, (2015)
  48. K.Ameenal Bibi and A.Lakshmi “The Inverse Distance-2 Domination in Graphs and It’s Applications”.  International Journal of Advance Research in Computer science, July Special Issue III, vol.8,No.6, pp:08-11, ISSN:0976-5697 (2017)
  49. K.Ameenal Bibi and A.Lakshmi “An Algorithm for minimal and minimum Ditance-2 dominating sets in Graphs.”Global Journal of Pure and Applied Mathematics.  Vol.13, No.2, pp:1117 – 1126. ISSN: 0973 – 1768. (2017)
  50. K.Ameenal Bibi and A.Lakshmi “Accurate Split domination, Accurate Non-split Domination in Graphs”. International Journal of Computational and Applied Mathematics. Vol.12, No.1, pp:115 – 124.  ISSN: 1819 – 4988. (2017)
  51. K.Ameenal Bibi and A.Lakshmi “ Applications of Distance-2 Dominating set of a Graph in Networks”. Advances in computational sciences and Technology.  Vol.10,No.9, pp:2801-2810.  ISSN: 0973-6107. (2017).
  52. K.Ameenal Bibi and A.Lakshmi.” The non-split Distance-2 Domination in Graphs”.International Journal of Mathematics Research, Vol.9, No.2, pp:109-119.ISSN: 0976-5840 (2017).
  53. K.Ameenal Bibi and A.Lakshmi. “An Algorithm for the Independent Distance-2 Dominating Set of a Graph.” Journal of Emerging Technologies and Innovative Research, Vol.8,N0.8, pp:373-377.  ISSN: 2349-5162 (2018).
  54. K.Ameenal Bibi and A.Lakshmi “ The Independent Distance-2 dominating set of Graph.”Journal of Emerging Technologies and Innovative Research, Vol.5, pp:619 – 627ISSN:  2349-5162 (2018)
  55.  K.Ameenal Bibi and A.Lakshmi “ The Split Distance-2 Domination in Graphs” International Journal of Engineering and Technology.  Vol.7, No.4, pp:589-592. (2018)
  56.  K.Ameenal Bibi and A.Lakshmi “An Algorithm for the Inverse Distance-2 Dominating set of a Graph”.  Springer Nature Switzerland AG 2019.  Applied Mathematics Scientific Computing, Trends in Mathematics pp:453-459 (2019)
  57. K.Ameenal Bibi and B.Vijayalakshmi.  “Laplacian Energy for a Balanced Graph’.International Research Journal in Advance Engineering and Technology. E-ISSN: 2454-4752, P-ISSN: 2454-4744 Vol.2, Issue 5.pp:1269-1276 (2016)
  58. K.Ameenal Bibi and B.Vijayalakshmi “Bounds of balanced Laplacian Energy of a Complete Bigraph”.  International journal of computational Intelligence Research. Vol.13, No.5 ISSN:0973-1873. Pp:1157-1165 (2017)
  59. K.Ameenal Bibi and B.Vijayalakshmi “Balanced Laplacian Energy of a Friendship Graph”.  International Journal of Advance Research in Computer science, Vol.8, No.6, ISSN:0976-5697 (2017).
  60. K.Ameenal Bibi and B.Vijayalakshmi “ Bounds of Laplacian Energy of a Hypecuhe graph”.  International journal of Engineering and Technology. Vol.7. No.4, pp:582-584(2018).
  61. K.Ameenal Bibi and B.Vijayalakshmi “Laplacian Minimum Dominating Energy of some special classes of Graphs”.  International Journalo of Emerging Technologies and Innovative Research, Vol.5, No.8, ISSN:2349-5162 (2018).
  62. K.Ameenal Bibi and B.Vijayalakshmi “Relation between colour Laplacian Energy and Colour signless Laplacian Energy of a complete Graph.” American International Journal of Research in science, Technology, Engineering and Mathematics. ISSN (Online): 2328-3580, ISSN(Print): 2028-3491 (2018)
  63.  K.Ameenal Bibi and B.Vijayalakshmi “ Comparsion between consistant Marked Graph And some Chemical Compounds”, International Journal of Emerging Technologies and Innovatice Research, Vol.5, No.8, ISSN:2349-5162 (2018)
  64. K.Ameenal Bibi and B.Vijayalakshmi “Balaced Laplacian Energy of organic compound Alkanes, International Journal of Research and Analytical Reviews.ISSN(Online):2348-1269, ISSN(Print):2349-5138 (2018)
  65. K.Ameenal Bibi and L. Jethruth Emelda Mary “The Dominator Chromatic Number of Subdivision of certain Graphs” Global Journal of Pure and Applied Mathematics, Vol.13,pp:72-76. ISSN:0973-1768 (2017).
  66. K.Ameenal Bibi and L. Jethruth Emelda Mary “A Study on dominator Chromatic Number And related parameters of a Family of circulant Graphs.”  International Journal of computational Intelligence Research.  Vol 13, issue 3, ISSN:0973-1873.(2017)
  67. K.Ameenal Bibi and L. Jethruth Emelda Mary “A Study on 2-Rainbow Domination Number Of Honeycomb Networks.” International Journal of computational and Applied Mathematics Vol.12, No.3 pp:859-870.  ISSN:1819-4966 (2017).
  68. K.Ameenal Bibi and L. Jethruth Emelda Mary “ A Brief Study on Domination Number of a  Non-Zero Divisor Graph formed from the Cartesian Product of Two star Zero Divisor Graph” International Journal of Emerging Technologies and Innovative Research Vol.4, No.6, ISSN:2349-5162 (2017)
  69. K.Ameenal Bibi and L. Jethruth Emelda Mary “ A Note on changing and unchanging Domination of Number of a Zero Divisor Graph” International Journal of computational Intelligence Research, Vol.12, Issue 3, pp:663-673.  ISSN:1819-4966. (2017)
  70. K.Ameenal Bibi, L. Lydia Mary and L. Jethruth Emelda Mary “ A study on star chromatic number of some special classes of graphs”. Global Journal of Pure and Applied Mathematics.vol.13 Issue 9, pp:4569-4593. ISSN: 0973-1768(2017).
  71. K.Ameenal Bibi and L. Jethruth Emelda Mary “A Study on 3-Rainbow Domination Number Of Some Special Classes Of Graphs.” International Journal of Advanced Research in Computer Science.vol 8,Issue 6, pp:01-07. ISSN: 0976-5697(2017).
  72. K.Ameenal Bibi and L. Jethruth Emelda Mary “ A Relation between Domination and 2-Domination of some special graphs of circulant graph families.” St. Joseph’s Journal Of Science and Humanities. Vol.5,Issue 1, pp:46-52. ISSN:2347-5331(2018).
  73. K.Ameenal Bibi and L. Jethruth Emelda Mary “Application of Fuzzy Vertex Colouring Of Fuzzy Graphs in Storage Problem.” International Journal of Emerging Technologies and Innovative Research .vol.5, Issue 7, pp: 252-260. ISSN:2349-5162.(2018).
  74. K.Ameenal Bibi and L. Jethruth Emelda Mary “ A Study on b-Chromatic Number and Relationship with other Parameters of some new Graph Families.” JPS Scientific Publications, pp:07-16 (2017).
  75. K.Ameenal Bibi and L. Jethruth Emelda Mary “Domination and Total Domination in Intuitionistic Triple Layered Simple Fuzzy Graphs.” Journal of Kongu Arts and Science. Vol .5 Issue1. pp:04-07, ISSN:2349-2694(2018).
  76. K.Ameenal Bibi and L. Jethruth Emelda Mary “Fuzzy Chromatic Number of Fuzzy Graph formed from the Cartesian product of Fuzzy Path and Fuzzy Cycle.” International Journal of Emerging Technologies and Innovative Research. Vol .6 Issue 4, pp: 694-709 ISSN: 2349-5162(2019).
  77. K.Ameenal Bibi and L. Jethruth Emelda Mary “ A Study on Domination of distinct non-zero divisor graphs and its complement graph.” International Journal of Research and Analytical Reviews. ISSN(Online) :2348-1269. ISSN(Print) :2349-5138 pp:75-90 UGC Sr.NO.4360(2019).
  78. K.Ameenal Bibi and M.Mageswari and G. Vinupriya “Total Domination and Inverse Total Domination Numbers of Some Special Classes of Graphs” American International Journal of Research in Science, Technology, Engineering and Mathematics. ISSN(Online) :2328-3580  ISSN(Print) :2328-3491.
  79. K.Ameenal Bibi and G.Vinupriya “Result On the Equitable Domination and Inverse Equitable Domination Numbers for some classes of Graphs.” Journal of Emerging Technologies and Innovative Research Volume 5, Issue 7, ISSN:2349-5162,July 2018.
  80. K.Ameenal Bibi and M.Tamizharasi “Strong Equitable and Inverse Strong Equitable Domination Numbers of some special classes of Graphs”. International Journal of Statistics and Applied Mathematics. Volume 3,Issue 2 pp:645-651.