VIDYASAGAR UNIVERSITY
Faculty Information System
Self Declared Document


Name Dr. Ganesh Ghorai
Designation Assistant Professor
Department Name APPLIED MATHEMATICS WITH OCEANOLOGY AND COMPUTER PROGRAMMING
Office Phone No +91 3222 298-389 / Centrex Extn. 389
Email ID math.ganesh@mail.vidyasagar.ac.in
Fax -
Mobile No 9734964777
Personal Website http://www.vidyasagar.ac.in/faculty/Faculty-Profile.aspx?fac_u_id=self
Address Dept. of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University-721102
Educational Qualification
Degree NameInstituteYear of passing/awarded
Ph. D.Vidyasagar University2017
M.ScIIT BOMBAY2011
B.ScMidnapore College (Autonomous)2009


Career Profile / Teaching Experience
Assistant professor (Stage-2), Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University since 25th October, 2017
Assistant professor (Stage-1), Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University from 4th April, 2012 to 24th October, 2017

Specialization/Research Area
Field of SpecializationResearch Area/ Areas of Interest
Functional Analysis
Fuzzy Graph Theory
Fuzzy Algebra and Their Generalizations
Fuzzy Mathematics
Fuzzy Topology

Course/ Subject Taught
Functional Analysis
Real Analysis
Topology
Measure Theory
Partial Differential Equations
Algebra
Fuzzy sets and their Applications

Conference/ Symposium /Journal Paper / Books Published
International Publication
TitlePublished inYearPublished by
S. Bhunia and G. Ghorai, An Approach to Lagrange’s Theorem in Pythagorean Fuzzy SubgroupsKragujevac Journal of Mathematics 48(6):893-9062024Faculty of Science, University of Kragujevac, Kragujevac, Serbia, Scopus Indexed
S. Das, G. Ghorai and M. Pal, Genus of graphs under picture fuzzy environment with applicationsAmbient Intelligence and Humanized Computing, DOI: 10.1007/s12652-020-02887-y2021Springer, SCIE Indexed, I.F.-7.104
G. Ghorai, Characterization of regular bipolar fuzzy graphsAfrika Matematika, DOI: 10.1007/s13370-021-00880-y2021Springer, Scopus Indexed
S. Poulik, G. Ghorai and Qin Xin, Pragmatic results in Taiwan education system based IVFG & IVNGSoft Computing, 25, 711–7242021Springer, SCIE Indexed, I.F.-3.643
S. Poulik and G. Ghorai, Applications of graph’s complete degree with bipolar fuzzy informationComplex & Intelligent Systems, DOI: 10.1007/s40747-021-00580-x2021Springer, SCIE Indexed, I.F.-4.927
S. Bhunia, G. Ghorai, M. A. Kutbi, M. Gulzar and Md. A. Alam, On the Algebraic Characteristics of Fuzzy Sub e-GroupsJournal of Function Spaces, DOI: 10.1155/2021/5253346, Article ID 52533462021Hindawi, SCIE Indexed, I.F.-1.807
S. Poulik and G. Ghorai, Connectivity concepts in bipolar fuzzy incidence graphsThai Journal of Mathematics, (Accepted)2021The Mathematical Association of Thailand, Scopus Indexed
S. Poulik and G. Ghorai, New concepts of inverse fuzzy mixed graphs and its applicationGranular Computing, DOI: 10.1007/s41066-021-00284-02021Springer, Scopus Indexed
D. Maji and G. Ghorai, The first entire Zagreb index of various corona products and their boundsJ. Math. Comput. Sci., 11(5) 6018-60442021SCIK Publishing Corporation,Scopus Indexed
S. Das, G. Ghorai & M. Pal, Picture fuzzy tolerance graphs with applicationComplex & Intelligent Systems, DOI: 10.1007/s40747-021-00540-52021Springer, SCIE Indexed, I.F.-4.927
D. Maji,G. Ghorai, M. K. Mahmmod, and Md. A. Alam, On the Inverse Problem for Some Topological IndicesJournal of Mathematics, Article ID 94116962021Hindawi, SCIE Indexed, I.F.-0.971
F. Tchier, G. Ali, M. Gulzar, D. Pamučar and G. Ghorai, A New Group Decision-Making Technique under Picture Fuzzy Soft Expert InformationEntropy, 23(9) 1-232021MDPI, SCIE Indexed, I. F.- 2.524
S. Bhunia, G. Ghorai and Q. Xin, On the fuzzification of Lagranges theorem in (a,ß)-Pythagorean fuzzy environmentAIMS Mathematics, 6(9) 9290-93082021AIMS Press, SCIE Indexed, I.F.-1.427
S. Poulik, S. Das & G. Ghorai, Randic index of bipolar fuzzy graphs and its application in network systemsJournal of Applied Mathematics and Computing, DOI: 10.1007/s12190-021-01619-52021Springer, SCIE Indexed, I.F.-1.686
C. Shit & G. Ghorai, Multiple attribute decision-making based on different types of Dombi aggregation operators under Fermatean fuzzy informationSoft Computing, DOI: 10.1007/s00500-021-06252-92021Springer, SCIE Indexed, I.F.-3.643
T. Mahapatra, S. Sahoo G. Ghorai and M. Pal, Interval valued m-polar fuzzy planar graph and its applicationArtificial Intelligence Review, 54, 1649–16752021Springer, SCI Indexed, I.F.-8.139
S. Poulik and G. Ghorai, Determination of journeys order based on graph’s Wiener absolute index with bipolar fuzzy informationInformation Sciences, 545, 608-6192021Elsevier, SCI Indexed, I. F.-6.795
S. Das, G. Ghorai and M. Pal, Certain competition graphs based on picture fuzzy environment with applicationsArtificial Intelligence Review, 54, 3141–31712021Springer, SCI Indexed, I.F.-8.139
S. Bhunia, G. Ghorai and Q. Xin, On the characterization of Pythagorean fuzzy subgroupsAIMS Mathematics, 6(1) 962-9782021AIMS Press, SCIE Indexed, I.F.-1.427
S. Poulik and G. Ghorai, Empirical Results on Operations of Bipolar Fuzzy Graphs with Their DegreeMissouri Journal of Mathematical Sciences, 32(2) 211-2262020University of Central Missouri, Department of Mathematics and Computer Science, Scopus Indexed
D. Maji and G. Ghorai, Computing F-index, coindex and Zagreb polynomials of the kth generalized transformation graphsHeliyon 6(12):e05781, 10.1016/j.heliyon.2020.e057812020Elsevier, Scopus Indexed
S. Poulik and G. Ghorai, Detour g-interior nodes and detour g-boundary nodes in bipolar fuzzy graph with applicationsHacettepe Journal of Mathematics and Statistics, 49(1) 106-119.2020Hacettepe University, SCIE Indexed, I.F.-0.413
S. Mandal, S. Sahoo, G. Ghorai and M. Pal, Different Types of Arcs in m-polar Fuzzy Graphs with ApplicationJournal of multiple-valued logic and soft computing, 34(3-4), 263-2822020Old City Publishing, SCIE, I.F.- 0.613
T. Mahapatra, G. Ghorai and M. Pal, Fuzzy fractional coloring of fuzzy graph with applicationAmbient Intelligence and Humanized Computing, 11, 5771–57842020Springer, SCIE Indexed, I.F.-7.104
S. Das and G. Ghorai, Analysis of road map design based on multigraph with picture fuzzy informationInternational Journal of Applied and Computational Mathematics, 6(3), 1-172020Springer, Scopus Indexed
S. Das and G. Ghorai, Analysis of the effect of medicines over bacteria based on competition graphs with picture fuzzy environmentComputational and Applied Mathematics, 39(3), 1-212020Springer, SCIE Indexed, I.F.-1.360
S. Poulik and G. Ghorai, Note on “Bipolar fuzzy graphs with applications”Knowledge-Based Systems, 192 1-52020Elsevier, SCI Indexed, I. F.-5.921
S. Bhunia and G. Ghorai, A New Approach to Fuzzy Group Theory Using (a,ß)-Pythagorean Fuzzy SetsSongklanakarin Journal of Science and Technology2019Research and Development Office, Prince of Songkla University, Thailand, Scopus Indexed
S. Mandal, S. Sahoo, G. Ghorai and M. Pal, Application of strong arcs in m-polar fuzzy graphsNeural Processing Letters, 50(1) 771-7842019Springer, SCIE Indexed, I.F.-2.591
S. Poulik and G. Ghorai, Certain indices of graphs under bipolar fuzzy environment with applicationsSoft Computing, DOI: 10.1007/s00500-019-04265-z2019Springer, SCIE Indexed, I.F.-2.784
D. Maji and G. Ghorai, A Novel Graph Invariant: The Third Leap Zagreb Index Under Several Graph OperationsDiscrete Mathematics Algorithms and Applications 11(5) 1-16, DOI:10.1142/S179383091950054X2019World Scientific, Scopus Indexed
G. Ghorai, Erratum to “Bipolar fuzzy graphs” [Information Sciences 181 (2011) 5548-5564]Information Sciences, 477 546-5482019Elsevier, SCI Indexed, I.F.-4.305
A. Lakdashti, H. Rashmanlou, K. K. Krishnan, G. Ghorai and M. Pal, Some results on edge irregular product vague graphsInternational Journal of Advanced Intelligence Paradigms, DOI: 10.1504/IJAIP.2018.100240762018Inderscience Publishers, Scopus Indexed
S. Raut, M. Pal and G. Ghorai, Fuzzy permutation graph and itscomplementsJournal of Intelligent & Fuzzy Systems, 35(2) 2199-22132018IOS Press, SCIE, I.F.-1.216
G. Ghorai, S. Sahoo and M. Pal, Certain graph parameters in bipolar fuzzy environmentInternational Journal of Advanced Intelligence Paradigms, DOI: 10.1504/IJAIP.2018.100240702018Inderscience Publishers, Scopus Indexed
S. Mandal, S. Sahoo, G. Ghorai and M. Pal, Genus value of m-polar fuzzy graphsJournal of Intelligent & Fuzzy Systems, 34(3) 1947-1957.2018IOS Press, SCIE, I.F.-1.216
G. Ghorai and M. Pal, Results of m-polar fuzzy graphs with applicationJournal of Uncertain Systems, 12(1) 47-55.2018World Academic Union, Scopus Indexed
G. Ghorai and M. Pal, A note on “Regular bipolar fuzzy graphs” Neural Computing and Applications 21(1) (2012) 197–205Neural Computing and Applications, 30(5) 1569-1572.2018Springer, SCIE Indexed, I.F.-4.213
G. Ghorai and M. Pal, Applications of bipolar fuzzy sets in interval graphsTWMS Journal of Applied and Engineering Mathematics, 8(2) 411-424.2018Isik University, ESCI & Scopus Indexed
S. Sahoo, G. Ghorai and M. Pal, Embedding of intuitionistic fuzzy graphs on spheresJournal of Multiple-Valued Logic and Soft Computing 31(1-2) 139-154.2018Old City Publishing, SCIE, I.F.- 0.437
G. Ghorai and M. Pal, Novel concepts of strongly edge irregular m-polar fuzzy graphsInternational Journal of Applied and Computational Mathematics, 3(4) 3321–3332. 2017Springer, Scopus Indexed
G. Ghorai and M. Pal, On degrees of m-polar fuzzy graphs with applicationJournal of Uncertain Systems, 11(4) 294-305.2017World Academic Union, Scopus Indexed
G. Ghorai, M. Pal, H. Rashmanlou and R. A. Borzooei, New concepts of regularity in product m-polar fuzzy graphsInternational Journal of Mathematics and Computation, 28(4) 9-20.2017CESER Publications
G. Ghorai and M. Pal, Planarity in vague graphs with applicationActa Mathematica Academiae Paedagogicae Nyiregyhaziensis, 33(2) 147-164.2017University of Nyíregyháza, Scopus Indexed
G. Ghorai and M. Pal, Certain types of product bipolar fuzzy graphsInternational Journal of Applied and Computational Mathematics, 3(2) 605-619. 2017Springer, Scopus Indexed
G. Ghorai and M. Pal, Some properties of m-polar fuzzy graphsPacific science Review A: Natural science and Engineering, 18(1) 38-46.2016Elsevier
G. Ghorai and M. Pal, Faces and dual of m-polar fuzzy planar graphsJournal of Intelligent and Fuzzy Systems, 31(3), 2043-2049.2016IOS Press, SCIE Indexed, I.F.- 1.261
G. Ghorai and M. Pal, Regular product vague graphs and product vague line graphsCogent Mathematics, 3(1), DOI: 10.1080/23311835.2016.1213214, 1-13.2016Taylor and Francis, ESCI Indexed
G. Ghorai and M. Pal, A study on m-polar fuzzy planar graphsInt. J. of Computing Science and Mathematics, 7(3) 283-292.2016Inderscience, Scopus Indexed
G. Ghorai and M. Pal, Some isomorphic properties of m-polar fuzzy graphs with applicationsSpringerPlus, 5(1), DOI:10.1186/s40064-016-3783-z, pp. 1-21.2016Springer, SCIE Indexed, I.F.-0.982
G. Ghorai and M. Pal, On some operations and density of m-polar fuzzy graphsPacific Science Review A: Natural Science and Engineering, 17(1) 14-22.2015Elsevier


National Publication


Other Publication


Books Published
Title of the BookPublished byYearRole
Modern Trends in Fuzzy Graph TheorySpringer Singapore2020Third Author
One Chapter In book: Handbook of Research on Advanced Applications of Graph Theory in Modern Society Chapter: 18 Title: Recent Developments on the Basics of Fuzzy Graph Theory, Authors: G. Ghorai & Kavikumar Jacob, Editors: M. Pal, S. Samanta & A. Pal, DOI: 10.4018/978-1-5225-9380-5.ch018IGI Global, Scopus Indexed2019First Author
One Chapter In book: Handbook of Research on Advanced Applications of Graph Theory in Modern Society, Chapter: 20,Title: Energy of m-Polar Fuzzy Digraphs, Authors: M. Akram, D. Saleem & G. Ghorai, Editors: M. Pal, S. Samanta & A. Pal, DOI: 10.4018/978-1-5225-9380-5.ch020IGI Global, Scopus Indexed2019Third Author

Ph. D. Thesis Guidence
Ongoing / Submitted Ph. D. Thesis
Scholar NameThesis TitleCo SupervisorStatusComplete in Year
Sankar DasA Study on Algebraic Properties of Picture Fuzzy Graphs with Applications Ongoing2025 (Expected)
Supriya BhuniaA Study on Fuzzy Group Theory and Its Generalizations Ongoing2024
Durbar MajiA Study on the Properties of Some Topological Indices of graphs Ongoing2023
Soumitra PoulikBipolar Fuzzy Graphs and Their Applications Ongoing2022



Project Work

Ongoing Project Works
Project titleWorked asFunding AgencyAmount in Rs.Duration in yearsPeriod
Year to Year
Status
DST-FIST (Level-I)Deputy CoordinatorDST-SERB, New Delhi45000005 year20192023


Completed Project Works
Project titleWorked asFunding AgencyAmount in Rs.Duration in yearsPeriod
Year to Year
Status
Fuzzy GrpahPrincipal InvestigatorUGC Innovative Research Scheme, Ref. No.VU/Innovative/Sc/15/2015700002 year20152017

Membership of Learned Society 
Life Member of Calcutta Mathematical Society

Association with Professional Bodies
Type of Professional ActivityPeriod
Editorial Board Member of Information Engineering andApplied Computing, Whioce Publishing PTE. Ltd2018 to 2019

Conference /Seminar/Workshop Attended/Organised

Conference /Seminar/Workshop Attended

Title of the Seminar/Conference/WorkshopYearRoleHeld at and Organiser
7th International IFS and Contemporary Mathematics Conference (IFSCOM 2021)2021Paper Presenter, Paper Title- Application of Adjacency Sequences in Characterizing Regular Bipolar Fuzzy GraphsTURKEY, May 25-29, 2021
7 Days NSS Training Programme2019ParticipantNSS Empanelled Training Institute, Ramkrsihna Mission Ashrama, Narendrapur, Kolkata from 19.05.2019 to 25.05.2019.
International Conference on Advances in Higher Mathematics, Mathematical Sciences and Mathematical Modelling (ICAHMMSMM-2019)2019Paper Presenter, Paper Title- Characterization of Regular Bipolar Fuzzy Graphs using Fundamental SequencesCalcutta Mathematical Society, AE-374, Salt Lake (Sector-1), Kolkata-700064, India, December 20-22, 2019
UGC Sponsored 3-day National Workshop on Introduction to Algorithms with special emphasis to Graph Algorithms2018Treasurer & ParticipantDept. of Applied Mathematics, Vidyasagar University, Midnapore, 27th-29th March,2018.
PFMS Training Programme for NSS Programme Officers2018ParticipantNSS Cell, Vidyasagar University, 5th March, 2018
In-Service Training and Sensitization of Key Functionaries of Central and State Governments, Local Bodies and Other Service Providers2018ParticipantVidyasagar University, Paschim Medinipur, West Bengal by the School of Education, Netaji Subhas Open University, 18-20th May, 2018.
One-day Symposium on CBCS UG Syllabus of Mathematics 20182018ParticipantDept.of Applied Mathematics, Vidyasagar University, Midnapore-721102, 30th August, 2018
UGC Sponsored National Conference on Futuristic Trends in Applied and Computational Mathematics 2017 (NCFTACM 17)2017ParticipantDept. of Applied Mathematics, Vidyasagar University, Midnapore, 29th-30th March,2017
One-day Symposium on New UG Syllabus of Mathematics2017Treasurer & ParticipantDept. of Applied Mathematics, Vidyasagar University, Midnapore, 13th September, 2017
National Conference on Optimization and Computational Mathematics2016Paper Presenter Paper Title-New concepts of vague planar graphsDept. of Applied Mathematics,Vidyasagar University,Midnapore,1st-2nd March,2016
102nd Orientation Programme2016ParticipantUGC-Human Resource Development Centre, The University of Burdwan, Burdwan January 05- February 02, 2016.
2nd International Conference on Recent Trends in Mathematics and Its Applications2015ParticipantDept. of Applied Mathematics,Vidyasagar University,Midnapore,18th-19th March,2015
Partners in Learning "Teaching with Technology"2015ParticipantComputer Centre, Vidyasagar University, Midnapore- 721 102, West Bengal, October 01- October 09.
ADMA PRE-CONFERENCE WORKSHOP ON FUZZY GRAPHS2015ParticipantB.S. ABDUR RAHAMAN UNIVERSITY,VANDALUR,CHENNAI-600048,JUNE 07-JUNE 09
Partners in Learning "Teaching with Technology"2015ParticipantComputer Centre, Vidyasagar University, Midnapore- 721 102, West Bengal.
5-Day National workshop on Optimization and Fuzzy Mathematics2014ParticipantVidyasagar University, Midnapore, 9-13th September, 2014.
Refresher Course in Mathematics2014ParticipantNorth Bengal University,Academic Staff College,Darjeeling,January 08-January 28
National Seminar on Recent Aspects in Mathematics and Their Applications2014ParticipantVidyasagar University, Midnapore,India,February 25th-26th,2014
Workshop for Revision of Syllabus for Honours and Pass Course of Vidyasagar University in Mathematics2014ParticipantDept. of Applied Mathematics,Vidyasagar University,Midnapore,6th March,2014
Workshop for Revision of Syllabus for Honours and Pass Course of Vidyasagar University in Statistics2014ParticipantDept. of Applied Mathematics,Vidyasagar University,Midnapore,7th March,2014
National seminar on Trafficking of women and girls : a serious human rights violation2014ParticipantVidyasagar University,Midnapore,19th March,2014
International Conference “Recent Trends on Mathematics and its Applications”2013ParticipantVidyasagar University, Midnapore, India, March 20th -21st , 2013.
SAKSHAM-IT Champion Training program2013ParticipantVidyasagar University, Midnapore,India,February 26th -March 8th,2013.
National Seminar to Commemorate the Sesquicentennial Birth Anniversary of "SIR ASUTOSH MOOKHERJEE"(1864-1924)2013ParticipantCalcutta Mathematical Society,AE-374,Sector-I,Salt Lake,Kolkata-700064,September 6-8,2013
National Seminar on “Emerging Trends in Mathematics”2012ParticipantVidyasagar University, Midnapore,India, December 19th -20th , 2012.


Conference /Seminar/Workshop Organised

Title of the Conference/Seminar/WorkshopYearRole in the EventFunding Agency
1st Research Scholar Day, 28th March, 20192019ConvenerSelf Sponsored
UGC Sponsored 3-Day Workshop on Introduction to algorithms with special emphasis to graph algorithms2018TreasurerUGC
UGC Sponsored National Conference on Futuristic Trends in Applied and Computational Mathematics 2017 (NCFTACM 17)2017TreasurerUGC
National Conference on Optimization and Computational Mathematics2016TreasurerUGC
5-Day National workshop on Optimization and Fuzzy Mathematics2014TreasurerDST

Awards
Award NameAwarded ByYear
Junior Research FellowshipCSIR2011

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