Title Dr. First Name Ajay Last Name Kumar
Designation Assistant Professor
Department SHAHEED SRIMATI HANSA DHANAI, GOVT DEGREE COLLEGE, AGRORA (DHARMANDAL), TEHRI GARHWAL
Email gdcagrora1@gmail.com
Webpage
Phone.no 9997869314
Employement Info
Employee Type Nature Of Employment
Teaching Permanent
Educational Qualifications
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)
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)
Designation Duration
Principal In-charge 19-02-2024 To 23-02-2024 (4 days)
Courses/Subjects Taught
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
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
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
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
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
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)
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