Dinesh G. Sarvate Mathematics
About Education Awards Experience Ph.D. Students Courses Memberships Publications Presentations Student Research Contact

Dinesh G. Sarvate

Emeritus Professor of Mathematics, College of Charleston (SC, USA).

Google Scholar Publications Contact
Fulbright Scholar & Specialist Combinatorics & Design Theory Mentorship & Student Research

Contact

sarvated@cofc.edu
Email

Education

CV
  • M.A. (1976) — University of Indore
  • M.Phil. (1978) — University of Kurukshetra
  • Post Graduate Diploma in Computer Science (February 1987) — University of Sydney
  • Ph.D. (August 1987) — University of Sydney

Awards and Honors

Honors
Awards and honors
  • FTICA (1990) — Founding Fellow of the Institute of Combinatorics and its Applications
  • Distinguished Achievement Award, 1998 (Gordon Jones Award) — School of Science and Mathematics, College of Charleston
  • College of Charleston Distinguished Research Award, 1998
  • Outstanding Male faculty member 2000–2001 — Zeta Phi Beta Sorority, Chi Iota Chapter
  • College of Charleston Distinguished Advising Award, 2001
  • College of Charleston recognition of initiatives promoting undergraduate research, 2002
  • AMP Outstanding Service Award, 2002
  • Departmental Special Recognition November 4, 2002 (Service)
  • Departmental Special Recognition Feb 2003 (Student Research)
  • Leo I. Higdon Jr. Presidential Legacy Award for outstanding leadership, May 2007
  • Hugh Kelly Fellow, Rhodes University, South Africa, Summer 2010
  • Fulbright Scholar, Uganda, 2014–15
  • Fulbright Specialist, Uganda, 2016–17
  • Michael J. Auerbach Award for Excellence in Student Research Mentorship, 2018–19
  • Fulbright Specialist, Thailand, 2022

Research and Teaching Experience

Timeline
  • Emeritus Professor of Mathematics, College of Charleston — May 2022–Present
  • Professor of Mathematics, College of Charleston — May 2007–May 2022
  • Hugh Kelly Fellow, Rhodes University (South Africa) — May 15–Aug 15, 2010
  • Professor and SC-AMP Director, College of Charleston — Aug 1999–May 2007
  • Associate Professor, College of Charleston — Sep 1992–Aug 1999
  • Visiting Professor, University of Bombay — Jul 1995–Apr 1996
  • Assistant Professor, College of Charleston — Sep 1988–Aug 1992
  • Lecturer, University of Papua New Guinea — Jun 1987–Aug 1988
Professional Activities
  • Guest Editor:
    1. Discrete Mathematics issue in honor of Professor Jennifer Seberry
    2. JCMCC issue for 2007 Midwest Conference on Combinatorics, Cryptography, and Computing
  • Member of Council: Institute of Combinatorics and its Applications
  • Refereed for journals including Ars Combinatoria, JCMCC, JCT, Bulletin of the ICA, Utilitas Mathematica, etc.
  • Examiner or on the Ph.D. committee of students in the USA and abroad

Ph.D. Students

Advising
  1. Kasifa Namyalo, Group divisible designs: existence results for block size 3,4, and 5, Mbarara University of Science and Technology, 2019
  2. Dinkayehu Mengesha Woldemariam, New group divisible designs with block size four and five, Adama Science and Technology University, June 30, 2022
  3. Zebene Girma Tefera, New existence results on group divisible designs and 3-GDDs, University of Addis Ababa, July 4, 2024
  4. Anilchandra Jha, The role of Bhaskaracharya in chronological development of Mathematics, Nepal Sanskrit University, May 20, 2025
  5. Parshuram Chaudhary, Mathematical Knowledge and Practices in the Tharu Community, Nepal Sanskrit University, 2025
  6. Apiwat Peereeyaphat, Partial Group Divisible 3-Designs, Chulalongkorn University, Thailand, 2025

Sample of Courses Taught and/or Designed

Teaching
  • Algebra
  • Applied Algebra
  • Coding Theory
  • Combinatorics
  • Discrete Mathematics 1 and 2
  • Discrete Modeling
  • Design Theory with applications in Error Correcting Codes
  • Elementary Statistics
  • Graph Labeling (Independent Study)
  • Linear Algebra
  • Real Analysis

Memberships

Professional
  • Life Member, Combinatorial Mathematics Society of Australasia
  • Life Member, Indian Academy of Mathematics, India
  • Life Member, Forum for Interdisciplinary Mathematics
  • Life Member, Institute of Combinatorics and its Applications
  • Life Member, Mathematics Consortium

Publications

—
Refereed Research Publications
  1. A note on strongly regular Hamiltonian equivalence of K2n and K2n-1,2n-1 and its generalization, J. Indian Acad. Math., 5, 1983, 65-67, India.
  2. All directed GDDs with block size three, l1=0, exist, Utilitas Mathematica, 26, 1984, 311-317, Canada.
  3. Non-existence of certain GBRDs, Ars Combinatoria, 18, 1984, 5-20, with W. de Launey, Australia-Canada.
  4. Generalized Bhaskar Rao designs of block size 3 over Z4, Ars Combinatoria, 19A, 1985, 273-286, with W. de Launey and J. Seberry, Australia-Canada.
  5. Some results on directed and cyclic designs, Ars Combinatoria, 19A, 1985, 179-190, Australia-Canada.
  6. A note on equi-neighboured block designs, Utilitas Mathematica, 28, 1985, 91-98, Canada.
  7. Block designs without repeated blocks, Ars Combinatoria, 21, 1986, 71-87, Australia-Canada.
  8. All simple BIBDs with block size 3 exist, Ars Combinatoria, 21A, 1986, 257-270, Australia-Canada.
  9. On a BIBD construction, Ars Combinatoria, 22, 1986, 165-169, AustraliaCanada.
  10. Encryption methods based on combinatorial designs, Ars Combinatoria, 21A, 1986, 237-246, with Jennifer Seberry, Australia-Canada.
  11. On weighing matrices with square weight, Proceedings of the symposium on optimization, Design of experiments and Graph Theory, I.I.T. Bombay, Dec. 15-17, 1986, 71-76, with Jennifer Seberry, India.
  12. Colourable designs, new group divisible designs and pairwise balanced designs, J. Stat. Planning and Inference, 15, 1987, 379-389, with C.A. Rodger and Jennifer Seberry, USA.
  13. Encryption method using Hungarian rings, Applied Discrete Mathematics, 16, 1987, 151-155, with Joseph Hammer, U.S.A.
  14. A note on orthogonal designs, Ars Combinatoria, 24, 1987, 93-100, with J. Hammer and Jennifer Seberry, Australia-Canada.
  15. On the union-closed sets conjecture, Ars Combinatoria, 27, 1989, 149-154, with J-C. Renaud, Australia-Canada.
  16. A new construction of balanced ternary designs, Utilitas Mathematica, 36, 1989, 45-47, Canada.
  17. Constructions of balanced ternary designs, Journal of the Australian Mathematical Society, 48, 1990, 320-232, Australia.
  18. On PBIBD constructions using t-designs, Ars Combinatoria, 29, 1990, 21-23, Australia-Canada.
  19. Improved bounds for the union-closed sets conjecture, Ars Combinatoria, 29, 1990, 181-185, with J-C. Renaud, Australia-Canada.
  20. Highly quantized realizations of the digital filter system matrix, The Journal of the Franklin Institute, 327, No. 6, 867-875, 1990, with T. Bose.
  21. Periodic and nonperiodic modes in two dimensional digital filters, The proceeding of the ISCAS. 90, 2998-3001, 1990, with T. Bose.
  22. Bhaskar Rao ternary designs and applications, The Australasian Journal of Combinatorics, 3, 165-190, 1991.
  23. Two constructions for µ-resolvable ternary designs, with Margaret Francel, Congressus Numerantium, 85, 1991, 51-63.
  24. A construction of balanced ternary designs based on SBIBDs, with Margaret Francel, Utilitas Mathematica, 39, 1991, 87-189.
  25. Row-column directed designs, with Rose Hamm, Discrete Mathematics, 92, 321-328, 1991. Reprinted in Selected Papers in Combinatorics, Topics in Discrete Mathematics, 2, 321-328, 1992.
  26. Classification and constructions of ternary group divisible designs, with William A. Denig, Congressus Numerantium, 90, 1992, 129-140.
  27. Remarks on R.G. Stanton's results, with Joseph Hammer, Discrete Mathematics, 102, 149-154, 1992.
  28. Some necessary existence conditions, constructions and a list of partially balanced ternary designs, with Jaideep Mirchandani, Congressus Numerantium, 96, 165-183, 1993.
  29. A note on Union-closed sets conjecture, with R. M. Norton, the Journal of Australian Mathematical Society, 55, 411-413, 1993.
  30. Constructions of balanced ternary designs based on Generalized Bhaskar Rao designs, with Jennifer Seberry, Journal of Statistical Planning and Inference, 34, 423-432, 1993.
  31. On row-column directed block designs, with Rose Hamm, the Australasian Journal of Combinatorics, 8, 1993, 123-126.
  32. A Comparison of n-ary design definitions, with Margaret Ann Francel, Ars Combinatoria, 38, 1994, 77-86.
  33. A note on small defining sets for some SBIBD(4t-1,2t-1,t-1), with Jennifer Seberry, Bulletin of the ICA, 10, 1994, 26-32.
  34. Ternary designs with more than one replication number, with Margaret Francel, Congressus Numerantium, 101, 1994, 17-25.
  35. Note on parameters of balanced ternary designs, Australasian Journal of Combinatorics, 11, 1995, 177-179.
  36. An application of symmetric chains to a statistical database compromise prevention problem, with Kevin Miller, Bulletin of the ICA, 13, 1995, 57-64.
  37. On ternary designs with a specific number of blocks with repeated elements, with Thomas Kunkle, Ars Combinatoria, 40, 1995, 129-142.
  38. Certain parametric relationships and nonexistence results for affine m-resolvable balanced ternary designs, with M. Francel, the Journal of Combinatorial Math. and Combinatorial Computing, 17, 1995, 89-96.
  39. Constructions for Dr = 2 and general Tocher ternary designs, with Margaret Francel, Congressus Numerantium, 110, 1995, 121-128.
  40. Balanced part ternary designs: a parameter list, with Thomas Kunkle, "the CRC Hand book on Design Theory", 1996, 233-238.
  41. Balanced part-ternary designs: new results and constructions, with Thomas Kunkle, the Journal of Combinatorial Mathematics and Combinatorial Computing, 22, 1996, 3-12.
  42. Ternary 1-designs(V,B,r1,r2,R;K), with W. Hugh Haynsworth, Utilitas Mathematica, 50, 1996, 103-112.
  43. Simple and irreducible group divisible designs with block size 3, with Vasanti N. Bhat-Nayak, Congressus Numerantium, 114, 1996, 179-192.
  44. Ternary designs with the maximum or near maximum number of replication numbers, with Margaret Francel, Australasian Journal of Combinatorics, 13, 1996, 283-294.
  45. On r-extendability of the hypercube Qn, with Nirmala B. Limaye, Mathematica Bohemica, 122, no. 3, 1997, 249-255.
  46. (D;4)-cages : some new results with Nirmala B. Limaye and Margaret Francel, Congressus Numerantium, 126, 1997, 73-85.
  47. A family of connected quasi-strongly regular graphs, with W. L. Golightly and W. H. Haynsworth, Congressus Numerantium, 124, 1997, 89-95.
  48. GDDs, GBRDs and Generalized weighing matrices, with Jennifer Seberry, Utilitas Mathematica, 54, 1998, 157-174.
  49. One and two-block configurations in balanced ternary designs, with Margaret Francel, Ars Combinatoria, XLVIX, August 1998, 217-224.
  50. Some constructions of block designs, with Malcolm Greig, Journal of combnatorial Mathematics and Combinatorial Computing, 28, 1998, 149-160.
  51. A symmetric difference construction of strongly regular graphs, with W.L. Golightly and W.H. Haynsworth, Bulletin of the ICA, 24, 1998, 51-56.
  52. (D;n)-cages with |D| = 2,3,4, with Nirmala Limaye, Congressus Numerantium 133, 1998, 7-20.
  53. Nontransitive semi-standard orthogonal Latin squares, with W.L. Golightly and W.H. Haynsworth, Bulletin of the ICA, 25, 1999, 88-94.
  54. On F-squares and their critical sets, with L Fitina and Jennifer Seberry, Australas. J. Comb. 19, 1999, 209-229.
  55. The existence of group divisible designs with first and second associates, having block size 3, with Hung-Lin Fu and C.A. Rodger, Ars Combinatoria, 54, 2000, 33-50.
  56. On c-Bhaskar Rao Designs, with Spencer Hurd, Journal of Statistical Planning and Inference, 90, 2000, 161-175.
  57. All c-Bhaskar Rao designs with block size 3 and c greater or equal to -1 exist, Ars Combinatoria, 59, 2001, 21-32.
  58. On c-Bhaskar Rao designs with block Size Three and Negative c, with Spencer Hurd, Journal of Combinatorial Mathematics and Combinatorial Computing, 38, 2001, 21-32.
  59. A 2 by 2 by 2 grid design, with Yukiyasu Mutoh, Congressus Numerantium, 149, 2001, 193-199.
  60. On enclosing BIBD(v,3,l) into BIBD(v+1,3,l+1), with Spencer Hurd, Bulletin of the ICA, 36, 2002, 46-52.
  61. On c-Hadamard Matrices, with Spencer Hurd, Ars Combinatoria, 63, 49-64, 2002.
  62. On c-Bhaskar Rao Designs with Block Size 4, with Spencer Hurd and Malcolm Greig, J. Combinatorial Designs, 10, 2002, 361-386.
  63. Minimal enclosings of triple systems I: adding one point, with S. Hurd and P. Munson, Ars Combinatoria, 68, 2003, 145-159.
  64. Minimal enclosings of triple systems II: with S. Hurd, Ars Combinatoria, 68, 2003, 263-282.
  65. Embeddings and faithful enclosings of GDD’s with a constant number of groups, with Spencer Hurd, The Australasian Journal of Combinatorics, 27, 2003, 213-222.
  66. Linear Codes through Latin Squares modulo n, with Alexander L Strehl, Bulletin of the ICA, 37, 2003, 73-81.
  67. An application of partition of indices to enclosings of triple systems, with Spencer Hurd, Discrete Mathematics, 261, 2003, 337-346.
  68. Faithful enclosings of group divisible designs formed by adding an additional group, with S. Hurd and Tarsem Purewal, Congressus Numerantium, 161, 2003, 129-138.
  69. Minimal enclosings of group divisible designs with block size 3 and group size 2, with Hurd and Purewal, J. Combin. Math. Combin. Comput. 46, 2003, 205-225.
  70. General constructions of c-Bhaskar Rao designs and the (c, L) spectrum of a cBRD, with Hurd and Greig, Discrete Mathematics, 274, 2004, 77-92.
  71. Odd and even Group Divisible Designs with Two groups and Block Size Four, with S.P. Hurd, Discrete Math., 284, 2004, 189-196.
  72. Regular and strongly regular planar graphs, with N. Limaye, P. Stanica, P. Young, J. Combin. Math. Combin. Comput. 54, 2005, 111-127.
  73. The anatomy of a design, with M.A. Francel, S.P. Hurd, G.L. Rudolph, Congressus Numerantium 181, 2006, 77-88.
  74. Pair resolvability and tight embeddings for path designs, with Spencer Hurd, JCMCC 58, 2006, 113-127.
  75. A family of group divisible designs of block size four and three groups with λ1=2 and λ2=1 using MOLS, with Devin Henson, Ars Combinatoria 78, 2006, 123-125.
  76. A new construction for group divisible designs with block size five and few groups, with S.P. Hurd and Nutan Mishra, Ars Combinatoria 84, 2007, 243-245.
  77. An edge-coloring problem for designs, with Spencer Hurd, Bulletin of the ICA, 49, 2007, 15-20.
  78. A new type of block design, with William Beam, Bulletin of the ICA, 50, 2007, 26-28.
  79. The non-existence of (n-2)-SB(n,n-1) adesigns and some existence results, with William Beam, Bulletin of the ICA, 51, 2007, 73-79.
  80. Group divisible designs with three groups and block size four, with Devin Henson and Hurd, Discrete Math., 307, 2007, 1693-1706.
  81. On balanced index sets of one-point unions of graphs, with Harris Kwong, SinMin Lee, JCMCC 66, 2008, 113-127.
  82. A note on non-regular planar graphs, with Nutan Mishra, Adrienne Chisolm, Jesse J. Raab, JCMCC 66, 2008, 17-31.
  83. Group divisible designs with block size four and two groups, with Spencer Hurd, Discrete Math., 308, 2008, 2663-2673.
  84. Group divisible designs with two groups and block configuration (1,4), with Spencer Hurd, Journal of Combinatorics, Information and System Sciences, 32, 2007, 297-306.
  85. Group divisible designs with two groups and block size five with fixed block configuration, with S. Hurd and Nutan Mishra, JCMCC 70, 2009, 15-31.
  86. Embedding multiple BIBDs into BIBDs or projective planes, with Spencer Hurd, Journal of Statistics and Applications, 4, 2009, 277-284.
  87. Sets of MOLSs generated from a single Latin square, with Hau Chan, Congr. Numer. 195, 2009, 115-123.
  88. Beautifully ordered balanced incomplete block designs, with Hau Chan, JCMCC 74, 2010, 65-81.
  89. A non-existence result and large sets for Sarvate-Beam designs, with Hau Chan, Ars Combin. 95, 2010, 193-199.
  90. It’s hard to be different, with Peter Dukes and Spencer Hurd, Bulletin of the ICA 60, 2010, 86-90.
  91. Loop designs, with Hurd and Punnim, JCMCC 78, 2011, 261-272.
  92. Cyclic loop designs, with Hurd, JCMCC 78, 2011, 111-117.
  93. On 1-Sarvate-Beam designs, with Hau Chan, Discrete Mathematics, 311, 2011, 856-865.
  94. Stanton graph decompositions, with Hau Chan, Bulletin of the ICA, 64, 2012, 21-29.
  95. Sarvate-Beam designs: new existence results and large sets, with H. Chan and D. Hein, JCMCC 83, 2012, 211-216.
  96. Decomposition of a λKv into equal number of K3s and P3s, with Li Zhang, Bull. Inst. Combin. Appl. 67, 2013, 43-48.
  97. Embedding into complements!, with A. Shealy, Bull. Inst. Combin. Appl. 67, 2013, 73-80.
  98. Decomposition of a 3K8t into H2 graphs, with Li Zhang, Ars Combin. 110, 2013, 23-32.
  99. Further existence results on beautifully ordered balanced incomplete block designs, with G. Mitchener and A. Shealy, JCMCC 86, 2013, 151-161.
  100. Decomposition of λKv into multigraphs with four vertices and five edges, with Sarah Malick, JCMCC 86, 2013, 221-237.
  101. Two combinatorial question, with Li Zhang, Bull. Inst. Combin. Appl. 70, 2014, 45-56.
  102. New construction techniques for H2(8t,3)s, with Li Zhang, JCMCC 90, 2014, 11-19.
  103. Decompositions of λKn using Stanton-type graphs, with Derek Hein, JCMCC 90, 2014, 185-195.
  104. Decomposition of λKn into S(4,3)'s, with D. Hein, JCMCC 94, 2015, 3-14.
  105. Decomposition of a 2K_{10t+5} into H3 graphs, with Li Zhang, JCMCC 94, 2015, 53-59.
  106. Decomposition of a 2K_{10t} into H3 graphs, with Li Zhang, Ars Combinatoria 121, 2015, 315-319.
  107. GDD(n,2,4;λ1,λ2) with equal number of even and odd blocks, with Issa Ndungo, Discrete Mathematics, 339, 2016, 1344-1354.
  108. Group divisible designs of four groups and block size 5 with configuration (1,1,1,2), with Ronald Mwesigwa and Li Zhang, J. Algebra Combinatorics Discrete Structures and Applications, 3(3), 2016, 187-194.
  109. A fundamental theorem of multigraph decomposition of a λKm,n, with Paul Winter and Li Zhang, JCMCC 96, 2016, 201-216.
  110. Graph decompositions of K(v, λ) into modified triangles using Langford and Skolem sequences, with Spencer Hurd, Ars Combinatoria 129, 2016, 403-416.
  111. On perfect MRDs, with Shahab Faruqi, Bull. Inst. Combin. Appl. 78, 2016, 23-40.
  112. Decomposition of a λKm,n into graphs of four vertices and five edges, with Winter and Zhang, JCMCC 98, 2016, 139-150.
  113. Group divisible designs of three groups and block size five with configuration (1,2,2), with Li Zhang, Australas. J. Combin. 66, 2016, 333-343.
  114. GDD(n1,n2,3; λ1, λ2) with equal number of blocks of two configurations, with B. Billings and K. Namyalo, JCMCC 102, 2017, 19-44.
  115. Decompositions of λKn into LOE and OLE graphs, with Li Zhang, Ars Combinatoria 133, 2017, 93-105.
  116. 3-GDDs with block size 4, with Wilbroad Bezire, Bull. Inst. Combin. Appl. 82, 2018, 50-65.
  117. Group divisible designs with block size 4 and number of groups 2 or 3, with Mary Nanfuka, Ars Combin. 141, 2018, 229-241.
  118. On edge decompositions of a complete graph into smaller complete graphs, with Faruqi and Katre, JCMCC 106, 2018, 83-107.
  119. Decomposition of λKv into multigraphs with four vertices and five edges, with Faruqi and Katre, Ars Combin. 136, 2018, 287-316.
  120. Group divisible designs with block size five from Clatworthy's table, with Mishra and Namyalo, Comm. Statist. Theory Methods, 41, 2018, 2085-2097.
  121. A simple construction of 3-GDDs with block size 4 using SQS(v), with W. Cowden, Bulletin of the ICA 84, 2018, 40-44.
  122. GDD(n1,n,n+1,4;λ1,λ2): n1=1 or 2, with Namyalo and Zhang, JCMCC 110, 2019, 19-37.
  123. EGDD(n1+n2,3;λ1,λ2) for n1=2 and n1=5, with Billings and Namyalo, Ars Combin. 150, 2020, 281-293.
  124. Pairwise and variance balanced n-ary block designs, with Mishra, JCMCC 114, 2020, 307-328.
  125. A short note on 3-GDDs with 3 groups and block size 4, with Shinde, JCMCC 114, 2020, 329-339.
  126. 3−GDD(n1,n2,4;Λ1,Λ2), with Li Zhang, JCMCC 114, 2020, 341-352.
  127. Missing blocks of two designs in Hanani's paper, with Shinde, Bull. Inst. Combin. Appl. 94, 2022, 73-78.
  128. A note on GDD(1,n,n,4;λ1,λ2), with Woldemariam, J. Algebra Comb. Discrete Struct. Appl. 9, 2022, 85-99.
  129. 3-group divisible designs with 3 groups and block size 5, with Tefera and Fufa, J. Math. (2023), Art. ID 1010091, 8 pp.
  130. On constructions of GMGDs, with Worawiset and Zhang, Util. Math. 119, 2024, 51-61.
  131. A variation on 3-GDDs with blocks of size 4 and 3 groups, with Trubey, JCMCC, accepted 8/1/2020.
  132. Group Divisible Designs with Three Groups and Block Size 4, with Woldemariam and Zhang, in: SEICCGTC 2022, Springer Proceedings in Mathematics & Statistics, Vol. 462, 2024.
  133. New Constructions and Necessary Conditions for 4-GDDs with Block Size 5, with Woldemariam, International Journal of Mathematics and Mathematical Sciences, Volume 2025, Article ID 8832205, 9 pages.
  134. 3-GDDs with 4 Groups and Block Size 5, with Tefera and Fufa, SINET: Ethiopian Journal of Science, 46(2), 2023, 146–153.
  135. GDDs with two groups of unequal sizes and block size four, with Tefera and Zhang, Utilitas Mathematica, Combinatorial Press, 124, 2025, 115–127.
  136. The extreme case of 3-PGDDs with block size 4 and 2 groups, with Peereeyaphat and Uiyyasathian, Bulletin of the ICA, 105, 2025, 130-142.
  137. A Variation on 3-GDDs with Blocks of Size 4 and 3 Groups, with Sesh Sudarshan; Wm. Aidyn Trubey, Journal of Combinatorial Mathematics and Combinatorial Computing EB, 2026.
Other Publications
  1. An application of graph representation of designs, with Joseph Hammer, Bulletin of the Institute of Combinatorics and its Applications, 3, 107-108, 1991.
  2. Another application of graph representation of designs, with Joseph Hammer, Bulletin of the ICA, 6, 1992, 61-62.
  3. Suggestions for presentation of a twenty-minute talk, with Jennifer Seberry, Bulletin of the ICA, 4, 1992, 90-91.
  4. Substance abuse prevention curriculum module: Know Your Class and Help Your College, published by Network for dissemination of Curriculum Infusion (NDCI).
  5. Winter, P A and Sarvate, D G, H-Eigen Energy Formation Number of HDecomposable Classes of Graphs—Formation Ratios, Asymptotes and Power. Advances in Mathematics: Scientific Journal. 3(2) (2014), 133-147.

Presentations at Conferences

Notes

I have presented at numerous international and national conferences in countries including Australia, China, Greece, India, Japan, New Zealand, Singapore, Uganda, and the USA.

Student Research

Mentoring

Student research supervision and collaboration.

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