Prof. Amitabha
Tripathi
Department of
Mathematics
Indian Institute
of Technology, India
Professor
Email:
at1089@gmail.com, atripath@maths.iitd.ac.in
Qualifications
1989 Ph.D., State
University of New York, USA
1985 M.A., State
University of New York, USA
1982 M.Sc., Indian
Institute of Technology, India
1980 B.Sc.
(Hons.), University of Delhi, India
Publications (selected)
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Tripathi, A. (1993), A Comparison of Dispersion and Markoff Constants,
Acta Arithmetica, 63.3, 193-203.
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Tripathi, A. (1994), The Coin
Exchange Problem for Arithmetic Progressions, American Mathematical Monthly,
101, 10, 779-781.
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Gupta, S. and Tripathi, A. (1999), Density of M-sets in Arithmetic
Progression, Acta Arithmetica, 89.3, 255-257.
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Tripathi, A. and Vijay, S. (2003), A Note on a Theorem of Erdos and
Gallai, Discrete Mathematics, 265, 417-420.
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Tripathi, A. (2003), On a variation of the Coin Exchange Problem for
Arithmetic Progressions, Integers: Electronic Journal of Combinatorial Number
Theory, 3, Article A01, 5 pages.
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Tripathi, A. and Vijay, S. (2005), Closest Approximations to Real Numbers,
Ars Combinatoria, 77, 3-8.
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Tripathi, A. (2006), A Note on the Postage Stamp Problem, Journal of
Integer Sequences, 9, 1, Article 06.1.3, 3 pages.
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Tripathi, A. (2006), On a linear diophantine problem of Frobenius,
Integers: Electronic Journal of Combinatorial Number Theory, 6, Article A14, 6
pages.
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Ahuja, T. S. and Tripathi, A. (2006), On the order of a graph with a given
Degree Set, Journal of Combinatorial Mathematics and Combinatorial Computing,
57, 157-162.
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Tripathi, A. and Vijay, S. (2006), On a generalization of the Coin
Exchange Problem for three variables, Journal of Integer Sequences, 9, 4,
Article 06.4.6, 8 pages.
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Tripathi, A. and Vijay, S. (2006), On the least size of a graph with a
given Degree Set, Discrete Applied Mathematics, 154, 17, 2530-2536.
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Singh, M. and Tripathi, A. (2007), On an extremal problem related to a
theorem of Whitney, Discrete Applied Mathematics, 155, 4, 579-583.
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Tripathi, A. and Vijay, S. (2007), A short proof of a theorem on degree
sets of graphs, Discrete Applied Mathematics, 155, 5, 670-671.
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Tripathi, A. (2008), On sums of positive integers that are not of the form
ax+by=n, American Mathematical Monthly, 115, 4, 363-364.
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Gautam, S, Srivastava, A. K. and Tripathi, A. (2008), On multicolour
noncomplete Ramsey graphs of Star graphs, Discrete Applied Mathematics, 156,
12, 2423-2428.
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Tripathi, A. (2008), On the Frobenius Problem for Geometric Sequences,
Integers: Electronic Journal of Combinatorial Number Theory, 8, 1, Article A43,
5 pages.
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Tripathi, A. and Tyagi, H. (2008), A simple criterion on degree sequences
of graphs, Discrete Applied Mathematics, 156, 18, 3513--3517.
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Pandey, R. K. and Tripathi, A. (2009), On the density of integral sets
with missing differences, Combinatorial Number Theory, Proceedings of the
Integers Conference 2007, Carrollton, Georgia, USA, October 2007, de Gruyters,
157-169. Also in Integers: Electronic Journal of Combinatorial Number Theory,
9, Supplementary, Article 12 (2009), 12 pages.
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Tripathi, A. (2009), On the largest size of a partition that is both
s-core and t-core, Journal of Number Theory, 129, 7, 1805-1811.
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Tripathi, A., Venugopalan, S. and West, D. B. (2010), A short constructive
proof of the Erdos-Gallai characterization of graphic lists, Discrete
Mathematics, 310, 4, 343-344.
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Tripathi, A. (2010), On the Frobenius Problem for
{a^k,a^k+1,a^k+a,…,a^k+a^{k-1}}, Integers: Electronic Journal of Combinatorial
Number Theory, 10, Article A44, 523-529.
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Pandey, R. K. and Tripathi, A. (2011), On the density of integral sets
with missing differences from sets related to arithmetic progressions, Journal
of Number Theory, 131, 4, 634-647.
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Pandey, R. K. and Tripathi, A. (2011), A note on a problem of Motzkin
regarding density of integral sets with missing differences, Journal of Integer
Sequences, 14, 6, Article 11.6.3, 8 pages.
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Garg, A., Goel, A. and Tripathi, A. (2011), Constructive extensions of two
results on graphic sequences, Discrete Applied Mathematics, 159, 17, 2170-2174.
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Tripathi, A. (2013), The Frobenius Problem for Modified Arithmetic
Progressions, Journal of Integer Sequences, 16, 7, Article 13.7.4, 6 pages.
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Tiwari, A. and Tripathi, A. (2013), On the range of size of Sum graphs
& Integral Sum graphs of a given order, Discrete Applied Mathematics, 161,
16-17, 2653-2661.
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Pandey, R. K. and Tripathi, A. (2015), A note on the density of M-sets in
geometric sequence, Ars Combinatoria, 119, 221-224.
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Batra, S. S., Kumar, N. and Tripathi, A. (2015), On a linear Diophantine
problem involving the Fibonacci and Lucas sequences, Integers: Electronic
Journal of Combinatorial Number Theory, 15, Article A26, 12 pages.
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Gupta S., Thulasi Rangan J, and Tripathi A. (2015), The two-colour Rado
number for the equation ax+by=(a+b)z, Annals of Combinatorics, 19, 269-291.
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Tripathi A. (2016), On the Frobenius Problem for
{a,ha+d,ha+bd,ha+b^2d,…,ha+b^kd}, Journal of Number Theory, 162, 212-223.
Profile Details
Last Updated: 4
March, 2016.
Reference this
profile directly: http://web.iitd.ac.in/~atripath/