Title | Dr. | First Name | Ajay | Last Name | Kumar |
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Designation | Assistant Professor | ||||||
Department | SHAHEED SRIMATI HANSA DHANAI, GOVT DEGREE COLLEGE, AGRORA (DHARMANDAL), TEHRI GARHWAL | ||||||
gdcagrora1@gmail.com | |||||||
Webpage | |||||||
Phone.no | 9997869314 |
Employement Info | |||||||
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Employee Type | Nature Of Employment | ||||||
Teaching | Permanent |
Educational Qualifications | |||||||
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Degree/Certification Name | Institution | Year of Completion | |||||
Ph.D. - Graceful Graphs and Graceful Labelings | Gurukula Kangri Vishwavidyalaya, Haridwar | 2013 | |||||
PG | Gurukula Kangri Vishwavidyalaya, Haridwar | 2007 | |||||
UG | Hemwati Nandan Bahuguna Garhwal University | 2005 | |||||
HSC | U.A. Board | 2002 | |||||
SSC | U.P. Board | 2000 |
Teaching Experience (Within Institution) | |||
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Designation | Duration | ||
Adhoc lecturer | 25-09-2008 To 15-05-2009 (7 months, 20 days) | ||
Adhoc lecturer | 01-08-2009 To 15-05-2010 (9 months, 14 days) | ||
Adhoc lecturer | 09-08-2010 To 15-05-2011 (9 months, 6 days) | ||
Guest Lecturer | 20-03-2012 To 31-05-2012 (2 months, 11 days) | ||
Assistant Professor | 19-08-2012 To 19-06-2013 (10 months) | ||
Assistant Professor | 15-07-2013 To 20-06-2019 (5 years, 11 months, 5 days) |
Administrative Experience (Within Institution) | |||
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Designation | Duration | ||
Principal In-charge | 19-02-2024 To 23-02-2024 (4 days) |
Courses/Subjects Taught | ||||||
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Teaching Activity Type | Course Title | Semester | Total Assigned Classes | Number of Classes Taught | Duration | |
Lecture | B.Sc Mathematics | 1 | 4 | 4 | 01-09-2022 To 30-11-2022 (2 months, 29 days) | |
Practical | B.Sc Mathematics | 1 | 4 | 4 | 01-09-2022 To 30-11-2022 (2 months, 29 days) |
Research Supervision Overview | |||||||
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PhD Scholars Supervised | PhD Degrees Awarded | Theses Submitted | |||||
1 | 1 | 0 | |||||
M.Phil Scholars Supervised | M.Phil Degrees Awarded | M.Phil Theses Submitted | |||||
0 | 4 | 0 |
Research Publications | |||||||
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Title of Article | Type of Publication | Name of Journal | ISSN | Journal Volume | Year | Link to Article | DOI (Digital Object Identifier) |
Graceful Graphs from Hairy Cycles | Research Papers in Peer Reviewed Journals | Journal of Natural and Physical Sciences | 097-3799 | 23(1-2) | 2009 | No DOI | |
On Gracefulness of Graphs Obtained from Hairy Cycles | Research Papers in UGC listed Journals | Journal of Combinatorics, Informations & System Sciences | 0250-9628 | 35(3-4) | 2010 | No DOI | |
Graceful Hairy Cycles with Pendent Edges and Some Properties of Cycles and Cycle Related Graphs | Research Papers in UGC listed Journals | Bulletin of The Calcutta Mathematical Society | 0008-0659 | 103(3) | 2011 | ||
Metric Dimension of Graceful Graphs | Research Papers in UGC listed Journals | Bulletin of The Calcutta Mathematical Society | 0008-0659 | 104(1) | 2012 | ||
Metric Dimensions of Wheels and Related Graphs | Research Papers in Peer Reviewed Journals | News Bulletin of Calcutta Mathematical Society | 35(10-12) | 2012 | |||
Missing Numbers in K-Graceful Graphs | Research Papers in UGC listed Journals | International Journal of Computer Applications | 0975-8887 | 79(8) | 2013 | ||
Metric Dimensions of Crystals | Research Papers in UGC listed Journals | Informations & System Sciences | 0250-9628 | 41(1-3) | 2016 | No DOI | |
Enquete on the Existence of Hamiltonian Graph | Research Papers in UGC listed Journals | Journal of Combinatorics, Informations & System Sciences | 0250-9628 | 41(1-3) | 2016 | ||
Missing Numbers in Graceful Graphs | Research Papers in Scopus Listed Journals | International Journal of Control Theory and Applications | 0974-5572 | 9(21) | 2016 | ||
Prufer Sequence and Graceful Graphs | Research Papers in Peer Reviewed Journals | Uttaranchal University Journal of Applied and Life Sciences | 1(1) | 2018 | |||
Hardy-Rogers Type Mappings for Fuzzy Metric Space | Research Papers in Peer Reviewed Journals | Pure and Applied Mathematics Journal | 2326-9812 | 8(6) | 2019 | https://doi.org/10.11648/j.pamj.20190806.11 | |
Some Fixed Point Results for w-Distance in Metric Space | Research Papers in Scopus Listed Journals | Advances in Mathematics Scientific Journal | 1857-8438 | 9(3) | 2020 | https://doi.org/10.37418/amsj.9.3.61 | |
Maximum Sum Numbering for Some Graphs | Research Papers in Peer Reviewed Journals | Journal of Xi'an University of Architecture & Technology | XII (VII) | 2020 | |||
Construction of Alpha Labeled Bipartite Graphs from a Set of Alpha Labeled Bipartite Graphs | Research Papers in Peer Reviewed Journals | , Journal of Xi'an University of Architecture & Technology | XII (VII) | 2020 | |||
A Survey on Existing Conditions of Hamiltonian Graphs | Research Papers in Scopus Listed Journals | Journal of Mathematical Control Science & Applications | 0974-0570 | 7(1) | 2021 | ||
Graceful Distance Labeling for Some Particular Graphs | Research Papers in UGC listed Journals | Malaya Journal of Matematik | 2199-5796 | 9(1) | 2021 | ||
Alpha Labeling of Cyclic Graphs | Research Papers in Scopus Listed Journals | International Journal of Applied and Computational Mathematics | 2199-5796 | 151(7) | 2021 | https://doi.org/10.1007/s40819-021-01084-5 | |
Some Common Fixed Point Results of Multivalued Mappings on Fuzzy Metric Space | Research Papers in Scopus Listed Journals | International Journal of Nonlinear Analysis and Applications, | 2008-6822 | 13(1) | 2022 | 10.22075/IJNAA.2019.17938.1976 | |
Graceful Labeling of Closed Caterpillar | Research Papers in Scopus Listed Journals | Journal of Mathematical Control Science & Applications | 0974-0570 | 8(2) | 2022 | ||
Alpha Labeling of Extended Hairy Cycles | Research Papers in UGC listed Journals | Bulletin of The Calcutta Mathematical Society | 114(6) | 2022 | |||
The Origin of the Word Algebra in Ancient India | Research Papers in Peer Reviewed Journals | Shod Drishti | 0976-6650 | 14 (5.1) | 2023 | ||
Alpha Labeling of Symmetrical Hairy Cycles and Related Graphs | Research Papers in Peer Reviewed Journals | Shod Drishti | 0976-6650 | 14 (5.1) | 2023 | ||
Graceful Labeling of m-Distant Hairy Cycles (Accepted for Publication) | Research Papers in UGC listed Journals | Bulletin of The Calcutta Mathematical Society | 116 (1) | 2023 | |||
On Farey Graceful Labeling | Research Papers in Scopus Listed Journals | National Academy of Science Letters | 2023 | https://doi.org/10.1007/s40009-023-01355-3 | |||
Alpha Labeling of Cyclic Graphs-I | Research Papers in Scopus Listed Journals | Ars Combinatoria | 0381-7032 | 154 | https://combinatorialpress.com/ars/vol154/ | ||
Farey Graceful Labeling of Graphs and its Applications | Research Papers in Web of Science Listed Journals | National Academy of Science Letters | 2250-1754 | https://doi.org/10.1007/s40009-024-01586-y | |||
On Farey Edge Graceful Labeling | Research Papers in Scopus Listed Journals | IAENG International Journal of Applied Mathematics | 1992-9978/ 1992-9986 | 54 (11) | https://www.iaeng.org/IJAM/issues_v54/issue_11/index.html | ||
Labeling of Graphs Using Taxi-Cab Metric | Research Papers in Web of Science Listed Journals | Journal of Mountain Research | 2582-5011 | 19 (2) | https://doi.org/10.51220/jmr.v19-i2.27 | ||
Labeling of Graphs using Rational Numbers | Research Papers in UGC listed Journals | Mathematical Forum | 0972-9852 | 33 |
Non-Journal Publications | |||||||
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Title of Publication | Type of Publication | Publisher | Role | ISBN | Year | Link to Publication | Level |
Larger Graceful Graphs from Smaller Graceful Trees | Full Paper in Conference Proceedings/Other | Macmillan Publishers India | Author | 023-032-875-X | 2010 | International |
Professional Development Programmes | |||||||
---|---|---|---|---|---|---|---|
Programme Title | Sponsoring Institution | Organizing Institution | Role | Type of Programme | |||
Online Two-Week Inter-Disciplinary Refresher Course in “Advanced Research Methodology” | Teaching Learning Centre, Ramanujan College, University of Delhi | Attendee | Refresher Program | ||||
Faculty Mentor Development Program Under Devbhoomi Udyamita Yojna | Higher Education Department, Govt. of Uttarakhand | EDII Ahmedabad | Attendee | Other | |||
Cloud Application Development Using Redhat Openshift | Department of Computer Science and Engineering, Faculty of Engineering and Technology, Gurukula Kangri Vishwaviyalaya, Haridwar in collaboration with IBM | Attending | Faculty Development Programmes | ||||
Online FDP "Research Method and Research Design" | Teaching Learning Centre, Ramanujan College, University of Delhi | Attending | Faculty Development Programmes | ||||
Online FDP "Advances in Analytical & Computational Techniques for Higher Education and Research" | School of Applied and Life Sciences (SALS), Uttaranchal University, Dehradun | Attending | Faculty Development Programmes | ||||
Online One Week FDP on Open Source Tools For Teaching & Research | Teaching Learning Centre, Ramanujan College, University of Delhi | Attending | Faculty Development Programmes | ||||
Online Two-Week Inter-Disciplinary Refresher Course in “Advanced Research Methodology” | Pandit Madan Mohan Malviya, National Mission on Teachers and Teaching, Ministry of Education | Teaching Learning Centre, Ramanujan College, University of Delhi | Attending | Refresher Program | |||
Online faculty development programme on “Discrete Mathematics, Graph Theory and its Applications” | Department of Applied Sciences & Humanities in association with IQAC Universal Engineering College, Vallivattom, Thrissur | Attending | Faculty Development Programmes | ||||
4-week Induction/Orientation Programme for “Faculty in University / Colleges / Institute of Higher Education” | MHRD, Pandit Madan Mohan Malviya, National Mission on Teachers and Teaching | Teaching Learning Centre, Ramanujan College, University of Delhi | Attending | Orientation Programme | |||
Faculty Development Programme on Advanced Research & Statistical Techniques | Uttaranchal University, Dehradun | Attending | Faculty Development Programmes | ||||
Innovative Techniques and magnitude of Teaching Methodology in Higher Education | Uttaranchal University, Dehradun | Attending | Faculty Development Programmes | ||||
Faculty Orientation Programme | Chaman Lal Mahavidyalaya, Landora, Roorkee, Haridwar | Attending | Faculty Development Programmes | ||||
Research Methodology | Uttaranchal University, Dehradun | Attending | Faculty Development Programmes |
Honors and Awards | |||||||
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Name of the Award | Awarding Body | Award Category | Level | Award Date | |||
Outstanding Teacher Award -2022 | M.L.A. Pratap Nagar Tehri Garhwal | Any Other | State/University Level | 02-09-2022 | |||
Best Teacher Award-2022 | Chaman Lal Mahavidyalay, Landhaura, Haridwar | Any Other | State/University Level | 05-09-2022 | |||
Peer Reviewer Contribution | International Journal of Applied and Computational Mathematics (Springer Publication) | Any Other | International | 24-01-2023 |
Talk Poster Presented | |||||||
---|---|---|---|---|---|---|---|
Name of the Activity | Role | Date of Activity | |||||
On Gracefulness of Graphs Obtained From Hairy Cycles | Oral Presentation | 04-08-2009 | |||||
Graceful Graphs from Graceful Trees | Oral Presentation | 29-11-2009 | |||||
Larger Graceful Graphs from Smaller Graceful Trees | Oral Presentation | 13-01-2010 | |||||
Graceful Hairy Cycles with Pendent Edges and Some Properties of Cycles and Cycle Related Graphs | Oral Presentation | 11-12-2010 | |||||
Near α-Labeling of Trees | Oral Presentation | 19-05-2011 | |||||
Metric Dimension of Graceful Graphs | Oral Presentation | 10-11-2011 | |||||
Prüfer Sequence and Graceful Trees | Oral Presentation | 25-02-2012 | |||||
Hamiltonian Decomposition of Bipartite Graphs | Oral Presentation | 10-11-2013 | |||||
On Gracefulness of Cycle Related Graphs | Oral Presentation | 28-02-2017 | |||||
Basic Concepts of Mathematics | Invited Talk | 15-10-2019 | |||||
Guidance and Counselling | Invited Talk | 30-12-2021 | |||||
Career Guidance Counselling | Invited Talk | 25-03-2022 | |||||
Application of Graph Theory in Ancient Indian Mathematics | Invited Talk | 13-03-2023 | |||||
Alpha Labeling of Cycle Related Graphs | Oral Presentation | 13-05-2023 | |||||
Graceful Labeling of Closed Caterpillars | Oral Presentation | 20-11-2021 | |||||
Twin Prime Labeling of Graphs | Oral Presentation | 31-03-2023 | |||||
Alpha Labeling of Cyclic Graphs | Participant | 11-06-2024 |
Seminar / Conference Details / Workshops | |||||||||||
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Type of Activity | Name of The Event | Role | Duration | ||||||||
Workshops | Advanced Computing and Software Tools (ACST - 2010) | Workshops | 30-10-2010 To 30-10-2010 () | ||||||||
Workshops | Digital Repository and Storage Management | Workshops | 01-08-2016 To 05-08-2016 (4 days) | ||||||||
Workshops | Workshop on “High Performance Scientific Computing” | Workshops | 26-08-2016 To 27-08-2016 (1 days) | ||||||||
Workshops | Workshop on “Modeling, Optimization and Simulation of Stochastic Systems (MOSSS-16)” | Workshops | 26-11-2016 To 26-11-2016 () | ||||||||
Workshops | Workshop on “Yoga for Improving Performance” | Workshops | 03-04-2017 To 05-04-2017 (2 days) | ||||||||
Seminars | Seminar on “Intellectual Prosperity Rights (IPR)” | Seminars | 07-12-2017 To 07-12-2017 () | ||||||||
Workshops | Workshop on Research Practices and Design for Professionals | Workshops | 08-02-2019 To 09-02-2019 (1 days) | ||||||||
Seminars | National Webinar on “Mathematics: Present Scenario” | Seminars | 13-06-2020 To 13-06-2020 () | ||||||||
Seminars | International Webinar on “Recent Advances in Mathematics & COVID-19” | Seminars | 15-06-2020 To 16-06-2020 (1 days) | ||||||||
Workshops | Workshop on “NAAC Assessment & Accreditation Process” | Workshops | 26-06-2020 To 26-06-2020 () | ||||||||
Workshops | e-Workshop on “भारत में शिक्षा और पर्यावरण के लिए कोविड-19 की वैज्ञानिक तथा तकनीकी शब्दावली” | Workshops | 26-06-2020 To 27-06-2020 (1 days) | ||||||||
Workshops | Online workshop “Recent Trends in Domination and Graph Labeling (RTDGL 2021)” | Workshops | 27-05-2021 To 31-05-2021 (4 days) | ||||||||
Conference | National Virtual Conference on “Reverse Migration: An Effort to Rebloom the Villages in the Wake of the Pandemic” | Conference | 28-07-2021 To 29-07-2021 (1 days) | ||||||||
Conference | National Virtual Conference on “Reverse Migration: An Effort to Rebloom the Villages in the Wake of the Pandemic” | Conference | 28-07-2021 To 29-07-2021 (1 days) | ||||||||
Seminars | IP Awareness / Training Program under National Intellectual Property Awareness Mission | Seminars | 04-08-2022 To 04-08-2022 () | ||||||||
Conference | National Conference on Recent Advances in Science & Technology | Conference | 27-02-2017 To 28-02-2017 (1 days) | ||||||||
Workshops | Workshop on MATLAB and its Applications | Workshops | 13-09-2018 To 14-09-2018 (1 days) | ||||||||
Conference | International Conference on New Horizons in Green Chemistry & Technology | Conference | 27-11-2018 To 28-11-2018 (1 days) | ||||||||
Conference | National Conference on Status of Upcoming Trends in Biodiversity Conservation | Conference | 06-01-2019 To 06-01-2019 () | ||||||||
Seminars | Teacher’s Congruence and Faculty Development Programme on Various Topics of Professional Interest | Seminars | 16-07-2018 To 16-07-2018 () | ||||||||
Seminars | The Concept of Pi in Vedic Mathematics | Seminars | 22-12-2018 To 22-12-2018 () | ||||||||
Workshops | All India IQAC Workshop 2024 | Workshops | 29-06-2024 To 29-06-2024 () | ||||||||
Workshops | “Teacher Enrichment Workshop (TEW)” on “Linear Algebra and Matrix Groups” | Workshops | 02-12-2024 To 07-12-2024 (5 days) |