JOURNALS

1. (with Dipendra Bhattacharya and Leah Doherty) Exploring the Difference of Two Squares, Ontario Mathematics Gazette 24(2) (1985), 36-37

2. A Box Filling Problem, The Fibonacci Quarterly 27(5) (1989), 465-466. MR 1017096 (90j:05028) [pdf]

3. A Comparison of Dispersion and Markoff Constants, Acta Arithmetica 63.3 (1993), 193-203. MR 1218234 (94e:11079) [pdf]

4. The Coin Exchange Problem for Arithmetic Progressions, American Mathematical Monthly 101(10) (1994), 779-781. MR 1542578 [pdf]

5. (with Soma Gupta) Density of M-sets in Arithmetic Progression, Acta Arithmetica 89.3 (1999), 255-257. MR 1691854 (2000b:11010) [pdf]

6. Continued Fractions - I, Samasya 6(1) (1999), 3-12
Continued Fractions - II, Samasya 6(2) (1999), 3-17
Continued Fractions - III, Samasya 6(3) (2000), 3-10
Continued Fractions - IV, Samasya 7(1) (2000), 3-14

7. The number of solutions to ax+by=n, The Fibonacci Quarterly 38(3) (2000), 290-294. MR 1775198 (2001d:11036) [pdf]

8. (with Sujith Vijay) A Note on a Theorem of Erdos and Gallai, Discrete Mathematics 265 (2003), 417-420. MR 1969393 (2004a:05038) [pdf]

9. On a variation of the Coin Exchange Problem for Arithmetic Progressions, Integers: Electronic Journal of Combinatorial Number Theory 3 (2003), Article A01, 5 pages. MR 1946993 (2003k:11018) [pdf]

10. (with Mohit Singh) Order of a Graph with given Vertex and Edge Connectivity and Minimum Degree, Notes in Discrete Mathematics 16 (2003), 17-18. MR 2159095

11. Simple graphs and their Degree sets, Bona Mathematica 14(3-4) (2003), 49-53

12. (with C. H. Harris Kwong) Some necessary conditions for a real polynomial to have only real roots, Crux Mathematicorum with Mathematical Mayhem 30(1) (2004), 102-105 [pdf]

13. (with Sujith Vijay) Closest Approximations to Real Numbers, Ars Combinatoria 77 (2005), 3-8. MR 2178747 (2006e:11095)

14. A Note on the Postage Stamp Problem, Journal of Integer Sequences 9(1) (2006), Article 06.1.3, 1-3. MR 2193153 (2006j:11013) [pdf]

15. On a linear diophantine problem of Frobenius, Integers: Electronic Journal of Combinatorial Number Theory 6 (2006), Article A14, 6 pages. MR 2247808 (2007e:11038) [pdf]

16. (with Tarandeep Singh Ahuja) On the order of a graph with a given Degree Set, Journal of Combinatorial Mathematics and Combinatorial Computing 57 (2006), 157-162. MR 2226692 (2006m:05059)

17. A combinatorial proof of Wilson's Theorem, Ars Combinatoria 80 (2006), 201-204. MR 2243090 (2007c:11005)

18. (with Sujith Vijay) On a generalization of the Coin Exchange Problem for three variables, Journal of Integer Sequences 9(4) (2006), Article 06.4.6, 8 pages. MR 2247945 (2007g:11033) [pdf]

19. (with Sujith Vijay) On the least size of a graph with a given Degree Set, Discrete Applied Mathematics 154(17) (2006), 2530-2536. MR 2272984 (2007f:05045) [pdf]

20. (with Gautam Gupta & Puneet Joshi) Graphic sequences of trees and a problem of Frobenius, Czechoslovak Mathematical Journal 57(1) (2007), 49-52. MR 2309947 (2008c:05036) [pdf]

21. (with Mohit Singh) On an extremal problem related to a theorem of Whitney, Discrete Applied Mathematics 155(4) (2007), 579-583. MR 2296879 (2007j:05114) [pdf]

22. (with Sujith Vijay) A short proof of a theorem on degree sets of graphs, Discrete Applied Mathematics 155(5) (2007), 670-671. MR 2303980 (2007k:05051)} [pdf]

23. On Sums of Positive Integers That Are Not of the Form ax+by=n, American Mathematical Monthly 115(4) (2008), 363-364. MR 2398418 [pdf]

24. (with Sachin Gautam & Ashish Kumar Srivastava) On multicolour noncomplete Ramsey graphs of Star graphs, Discrete Applied Mathematics 156(12) (2008), 2423-2428. MR 2433598 (2009h:05143) [pdf]

25. On the Frobenius Problem for Geometric Sequences, Integers: Electronic Journal of Combinatorial Number Theory 8(1) (2008), Article A43, 5 pages. MR 2472061 (2010b:11040) [pdf]

26. (with Himanshu Tyagi) A simple criterion on degree sequences of graphs, Discrete Applied Mathematics 156(18) (2008), 3513-3517. MR 2467963 (2009m:05038) [pdf]

27. The Postage Stamp Problem and Arithmetic in Base r, Czechoslovak Mathematical Journal 58(4) (2008), 1097-1100. MR 2471168 (2009m:11015) [pdf]

28. (with Ram Krishna Pandey) 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, 2009, 157-169; Integers: Electronic Journal of Combinatorial Number Theory 9 Supplementary, Article 12 (2009), 12 pages. MR 2521959 (2010i:11015) [pdf]

29. On the largest size of a partition that is both s-core and t-core, Journal of Number Theory 129(7) (2009), 1805-1811. MR 2524197 (2010f:05022) [pdf]

30. On Pythagorean triples containing a fixed integer, The Fibonacci Quarterly 46/47(4) (2008/2009), 331-340. MR 2589612 (2010j:11015) [pdf]

31. (with Sushmita Venugopalan & Douglas B. West) A short constructive proof of the Erdos-Gallai characterization of graphic lists, Discrete Mathematics 310(4) (2010), 343--344. MR 2574834 (2011a:05074) [pdf]

32. A note on products of primes that differ by a fixed integer, The Fibonacci Quarterly 48(2) (2010), 144-149. MR 2667799 (2011d:11002) [pdf]

33. 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 (2010), Article A44, 523--529. MR 2798622 (2012f:11060) [pdf]

34. (with Ram Krishna Pandey) On the density of integral sets with missing differences from sets related to arithmetic progressions, Journal of Number Theory 131 (2011), 634--647. MR 2753268 (2011k:11012) [pdf]

35. (with Ram Krishna Pandey) A note on a problem of Motzkin regarding density of integral sets with missing differences, Journal of Integer Sequences 14(6) (2011), Article 11.6.3, 8 pages. MR 2811219 (2012f:11015) [pdf]

36. (with Ankit Garg & Arpit Goel) Constructive extensions of two results on graphic sequences, Discrete Applied Mathematics 159(17) (2011), 2170-2174. MR 2832340 (2012h:05074) [pdf]

37. A Curious Property of the Decimal Expansion of Reciprocals of Primes, Pi Mu Epsilon Journal 13(7)(2012), 427-430. MR 3025758 [pdf]

38. On a problem in divisibility, Crux Mathematicorum with Mathematical Mayhem 38(7)(2013), 281-283. [pdf]

39. Six ways to count the number of integer compositions, Crux Mathematicorum with Mathematical Mayhem 39(2)(2013), 409-413. [pdf]

40. A Note on a Special Case of the Frobenius Problem, Indian Journal of Pure & Applied Mathematics 44(3)(2013), 375-381. MR 3082892. [pdf]

41. The Frobenius Problem for Modified Arithmetic Progressions, Journal of Integer Sequences 16(7)(2013), Article 13.7.4, 6 pages. MR 3102658. [pdf]

42. (with Apurv Tiwari) On the range of size of Sum graphs & Integral Sum graphs of a given order, Discrete Applied Mathematics 161(16-17)(2013), 2653-2661. MR 3101743. [pdf]

43. (with Ram Krishna Pandey) A note on the density of M-sets in geometric sequence, Ars Combinatoria 119 (2015), 221-224.

44. (with Sanjit Singh Batra & Nikhil Kumar) On a linear Diophantine problem involving the Fibonacci and Lucas sequences, Integers: Electronic Journal of Combinatorial Number Theory 15 (2015), Article A26, 12 pages. [pdf]

45. (with Swati Gupta & J.Thulasi Rangan) The two-colour Rado number for the equation ax+by=(a+b)z, Annals of Combinatorics 19 (2015), 269-291. [pdf]

46. On the Frobenius Problem for {a,ha+d,ha+bd,ha+b^2d,...,ha+b^kd}, Journal of Number Theory 162 (2016), 212-223. [pdf]

47. (with Sarthak Chimni & Soumya Sankar) On integers that are uniquely representable by Modified Arithmetic Progressions, Notes in Number Theory and Discrete Mathematics 22 (3) (2016), 36-44. [pdf]

48. Formulae for the Frobenius number in three variables, Journal of Number Theory 170 (2017), 368-389. [pdf]

49. An Alternate Method to Compute the Decimal Expansion of Rational Numbers, Mathematics Magazine 90, No.2 (2017), 108-113. [pdf]

50. On a special case of the Frobenius Problem, Journal of Integer Sequences 20, Issue 7 (2017), Article 17.7.2, 12 pages. [pdf]

51. (with Pooja Punyani) On changes in the Frobenius and Sylvester numbers, Proceedings of the Integers Conference 2016: Spanning the Generations', Carrollton, Georgia, USA, October 2016; Integers: Electronic Journal of Combinatorial Number Theory 18B, Article A8 (2018), 12 pages. [pdf]

52. A Note on the Frobenius and Sylvester numbers, Notes in Number Theory and Discrete Mathematics (to appear)

53. (with Kaushik Maran, Sai Praneeth Reddy, Dravyansh Sharma) Some results on a class of mixed van der Waerden numbers, Rocky Mountain Journal of Mathematics (to appear)

54. (with Srashti Dwivedi) Bounds on van der Waerden-type numbers for generalized 3-term Arithmetic Progressions, Ars Combinatoria (to appear)

55. (with Sanjit Singh Batra & Nikhil Kumar) Some problems concerning the Frobenius number for extensions of an arithmetic progression (under review)

56. Baseball umpires, binomial coefficients and counting lattice point paths (under review)

57. On a Generalization of the Monkey & Coconuts Problem (under review)

58. Characterization and enumeration of palindromic numbers whose squares are also palindromic (under review)

59. (with Ishan Arora & Srashti Dwivedi) On the two-colour Rado number for $\sum_{i=1}^m a_ix_i=c$ (under review)

60. (with Edgar Federico Elizeche) On the nested local Postage Problem (under review)

61. (with Sahil Singla and Apurv Tiwari) Some results on the spum and the integral spum of graphs (under review)