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Nasrin Soltankhah , Faculty Member of Alzahra University

Publications:

 

1. With E.S. Mahmoodian. On the existence of (v,k,t) trades. Australas. J. Combin, 6 (1992), 279-291. MR, 93j: 05013 >>pdf

2. On directed trades. Australas. J. Combin, 11 (1995). 59-66. MR, 96b:05044 >>pdf

3. Directed quadruple designs. Combin, Advances, (1995), 277-291, Math. Appl., 329, Kluwer Academic Publishers. Dordrecht, 1995. C.J. Colbourn and E.S. Mahmoodian (eds.) MR, 96h: 05020 >> link

4. With E.S. Mahmoodian. Intersection of directed quadruple systems. J. Utilitas Math., 47 (1995), 161-165. MR, 95m:05063 >>pdf

5. With E.S. Mahmoodian. Intersection of 2-(v,4,1) directed designs. J. of combin. Math. And combin. Computing. 20 (1996), 225-236. MR, 96m: 05026 >>pdf

6. With M.Behzad and E.S. Mahmoodian. Defining sets in total coloring of graphs. Proceedings of 20 th ATMC, Tabriz University, March 28-31, 1997, 521-526. MR, 99b: 05053 >>pdf

7. With E.S. Mahmoodian and Anne P. Street. On the defining set of directed designs. Australas. J.Combin., 19(1999), 179-190. MR,2000b:05023 >>pdf

8. With B.Omoomi. Minimum defining number of some regular graphs. Tech. Rep. IPM-2000-334 

9. With E.S. Mahmoodian. A linear algebraic apparoch to directed designs. Australas, J.Combin., 23(2001) 119-134. MR, 051305 >>pdf

10. With E.S. Mahmoodian. On defning numbers of k-chromatic k-regular graphs. ARS Combinatoria, 76(2005), 257-276. MR, 05c15 >>pdf

11. With B. Omoomi and E.S. Mahmoodian. Smallest defining number of r-regular k-chromatic graphs: r≠k  ARS Combinatoria, 78(2006), 211-223 >>pdf

12. With A. Daneshgar and H. Hajiabolhassan. On defining numbers of circular complete graphs. Discrete Mathematics, 307(2007), 173-180 >>pdf

13. With B. Omoomi. Construction regular graphs with smallest defining number. ARS Combinatoria, 91(2009), 19-31. >>pdf

14. With M. Askari Forooshani. On the non-existence of some Steiner t-(v,k) trades of certain Volumes. Utilitas Mathematica, 79 (2009), 277-285 >>pdf

15. With M. Atapour. On total dominating sets in graphs. Int. J. of Contemp. Math. Sciences, Vol. 4, No. 6, (2009), 253-257 >>pdf

16. Results on total domination and total restrained domination in grid graphs. Int. Math. Forum, Vol. 5, No. 7, 2010, 319-332 >>pdf

17. On the total subdivision numbers of grid graphs. Int. J. of Contemp. Math. Sciences. Vol.5, No. 49 (2010), 2419-2432 >>pdf

18. With F. Amirzade. Super-simple 2-(v,5,1) directed designs and their smallest defining set. Australas. J. Combin., 54(2012), 85-106 >>pdf

19.With S. Ahmadi. The intersection problem for 2-(v,5,1) directed block designs. Discrete Mathematics, 312, (2012), 3251-3264 >>pdf

20. With S. Rashidi. On the possible volume of three way trades. Electronic Notes in Discrete Mathematics, 43, (2013), 5-13 >>link

21. With S. Rashidi. ON THE SPECTRUM OF 3-WAY (v, k, 2) STEINER TRADES. The 44th Annual Iranian Mathematics Conference, (2013).

22. With S. Rashidi. On the possible volume of  µ-(v,k,t) trades. Bull. Iranian Math. Soc., 40(2014), 1387-1401 >>pdf

23.With F. Moazami. On the biclique cover of the Complete graph. Graphs and Combinatorics, 30 (2014), 48-57.>>pdf

24.With F. Amirzade. Smallest defining sets of super-simple 2- (v,4,1) directed designs. Utilitas Mathematica, 96(2015), 331-344 >>pdf

25. With M. Boostam, S. Golaizadeh and N. Soltankhah. Super-simple (v,4,2) directed designs and a lower bound for the minimum size of their defining set, Discrete Applied Mathematics, 201 (2016), 14-23 >>pdf

26. With H. Amjadi, N. Shajarisales, and M. Tahvilian. On the spectrum of r-ortoghonal Latin squares of different orders, transactions on Combinatorics, Vol 5, No 2, (2016), 41-51 >>pdf

27. With H. Hossinenzadeh. Total perfects Codes, OO-Irredundance and Total Subdivision in Graphs. Bull. Iranian Math. Soc., 42(2016), 499-506 >>pdf

28. With S. Rashidi. on the 3-way (v,k,2) Steiner trades, Discrete Mathematics, 339, (2016), 2955-2963 >>link

29. With F. Moazami and S. Basiri. A note on d-biclique cover. Utilitas Mathematica, 100 (2016), 169-177.

30. With S. Rashidi. The 3-way intersection problem for S(2,4,v) designs. Utilitas Mathematica, 102 (2017), 169-187 >>pdf

31. With H. Amjadi. The 3-way intersection problem to Kirkman triple systems, Graphs and Combinatorics, 33, (2017), 673-687, DOI 10-1007/s00373-017-1801-8 >>pdf

32. With Amir Hosein Kashefi and Leyli Mohammad-Khanli. RP2: A high performance data center network architecture using projective planes, Cluster Comput., 20, (2017), 3499-3513, DOI 10-1007/s10586-017-1024-z >>pdf

33. With Z. Montazeri. Path Cover Number of Rook’s graph. International Conference on Combinatorics, Cryptography and Computation, (2017)>>pdf

34. With H. Amjadi. On the existence d-homogeneous 3-way Steiner trades, Utititas Mathematica, 108 (2018), 307-320 >>pdf

35. With M. Golmohamadian and M.M. Zahedi. Some Hypergroups Induced by Zero Forcing Process. 10th Graph Theory and Algebraic Combinatorics Conference of Iran, (2018).>>pdf

36. A generalization of trades. 4th conference on combinatorics, cryptography, computer science and computing, (2019).>>pdf

37. With S. Golalizadeh. The minimum possible volume size of µ-way (v; k; t) trades, Utilitas Mathematica, Utilitas Mathematica, 111 (2019), 211-224.>>pdf

38. With S. Golalizadeh. On the existence of d-homogeneous µ-way (v,3,2) steiner trades. Graphs and Combinatorics, DOI 10.1007/s00373-019-02008-3 >>pdf >>link

39. With M. Golmohamadian and M.M. Zahedi. Some Algebraic Hyper structures Related to Zero Forcing Sets and Forcing Digraphs. J. of Algebra and its Appl, Vol:18, No:10 (2019) 1950192 (19 pages), DOI: 10-1142/S0219498819501925 >>pdf

40. With Z. Montazeri. On the Relationship Between the Zero Forcing Number and Path Cover Number for Some Graphs, Bull. Iranian Math. Soc., 46, (2020), 767–776. https://doi.org/10.1007/s41980-019-00290-8. >>pdf

41. With H. Amjadi. The 3-way flower intersection problem for Steiner triple systems , Discrete Mathematics and Theoretical Computer Science, vol. 22, no. 1,( 2020), 1-14.>>pdf

42. With N. Khademian. On the Volume of 3-way Trades for Trees with up to Three Edges, Iran. J. Sci. Technol. Trans. Sci., 44, (2020), 227–237. https://doi.org/10.1007/s40995-020-00822-6.>>link

43. With Z. Montazeri. K-forcing number for Catresian product of some graphs, Contribiutions to Discrete Math. vol. 16, no. 1, ( 2021), 89-97. https://doi.org/10.11575/cdm.v16i1.68557.

44. With B. Samadi. Double domination in graphs revisited. Russian-Finnish Symposium on Discrete Mathematics, (2021).>>pdf

45. With S. Golalizadeh. On the weight distribution of generalized Reed-Muller codes,  The 6th international conference on combinatorics, cryptography, computer science and computing(2021).>>pdf

46. With S. Rashidi. A New method of Construction of the visual cryptography by increasing number of participants without reducing contrast image retrieved. Sci. J. of Advanced Defense Science and Technology, (to appear) (Persian).

47. With N. Khademian. On the Volume of µ- way G-trade, Iranian Journal of Mathematical Sciences and Informatics(IJMSI), vol. 17, no. 1, (2022), 153-163.>>pdf

48. With M. Golmohamadian, M.M. Zahedi and M. Shamsizadeh. Analyzing Zero Forcing Process by Using Automata Theory, (submitted).

49. With S. Rashidi. A Completion of the spectrum of 3-way (v, k, 2) Steiner trades. Acta Applicandae Mathematicae  vol 180, no. 4,(2022).>>link

50. With M. Golmohamadian and M.M. Zahedi. Dominating Sets in Graph Theory and Algebraic Hyperstructures.

51. With S. Rashidi. A novel visual cryptography scheme based on Steiner trades  journal of Advanced Defense Science and Technology, vol. 12, (2022).>>link

52. With B. Samadi and D.A. Mojdeh. Revisiting k-tuple Dominating Sets with Emphasis on Small Values of k  Bull. Malays. Math. Sci. Soc. 45, (2022), 1473-1487. https://doi.org/10.1007/s40840-022-01269-1.>>link

53. With B. Samadi, H. Abdollahzadeh Ahangar, M. Chellali, Doost Ali Mojdeh, S.M. Sheikholeslami, J.C. Valenzuela-Tripodoro. Restrained condition on double Roman dominating functions. arXiv preprint arXiv:2109.06666.>>pdf

54. With M. Mohammadnezhad, S. Golalizadeh, M. Boostan. Super-simple (v, 5, 2) directed designs and their smallest defining sets with its application in LDPC codes. arXiv preprint arXiv:2007.13743.>>pdf

 

 

Research projects:

  • An investigation on total dominating number in graphs, Supported by Alzahra University, (2008-present).
  • An investigation on dominating sets in graphs, Supported Alzahra by University, (2007-present).
  • On the existence and non existence of som (v,k,t) trades, Supported by Alzahra University, (2005-2006).
  • Defining on colored parameters in graphs, Supported by Alzahra University and Sharif University, (2002-2003).
  • Some problems on Defining total numbers and vertex coloring of graphs, Supported by the Institute for Theoretical Physics & Mathematics, (2000-2001).
  • Some problems on Defining total sets and vertex coloring of graphs, Supported by the Institute for Theoretical Physics & Mathematics, (1999-2000).
  • Defining sets in vertex coloring of graphs, Supported by Sharif University, (1995-1997).
  • On coloring graphs and combinatorial constructive, Supported by Alzahra University, (1995-1997).
  • Defining sets in directed block designs, Supported by the Institute for Theoretical Physics & Mathematics, (1995-1996).

 

 

Conference presentations:

  1. 7th Gathering of the non graduated Iranian university student of inside and abroad, Tehran University, (1988).

  2. 8th Gathering of the non graduated Iranian university student of Iran and abroad, University of Science and Technology (UST), (1990).

  3. Combinatorics Day I, The Institute for Theoretical Physics & Mathematics (IPM), (1993).

  4. International conference of Mathematics & its Applications, University of Perth, Australia, (1992).

  5. Workshop on Directed Block  Designs. University of Queensland, Australia, (1992).

  6. Combinatorics Day III, The Institute for Theoretical Physics & Mathematics (IPM), (1993).

  7. 25th Annual Iranian Mathematics conference, Sharif University, (1994).

  8. 28th Annual Iranian Mathematics conference, Tabriz University, (1997).

  9. Combinatorics Day VII, The Institute for Theoretical Physics & Mathematics (IPM), (1997).

  10. Combinatorics Day VII, The Institute for Theoretical Physics & Mathematics (IPM), (1998).

  11. The first seminar of Women and Mathmatics in Iran, Alzahra University, (2000).

  12. The first seminar in graph theory, combinatorics, computational algorithm & applications, Amir-Kabir Technical University, (2001).

  13. The first day of graph & compound, Institute for Advanced in Basic Science (IASBS), Zanjan, (2002).

  14. 36th Annual Iranian Mathematics conference, Yazd University, (2005).

  15. 21th British Combinatorial Conference, Reading University, (U.K),(2007).

  16. 38th Annual Iranian Mathematics conference, Zanjan University, (2007).

  17. Conference of Combinatorics & Theory of Designs, KOC University, Istanbul, Turkey, (2008).

  18. 40th Annual Iranian Mathematics conference, Sharif University, (2009).

 

 

M.S. Students Supervised:

  • Fahime Shah Sahebi (2001), Afsane Khademi (2001), Saeede Vafaee (2001), Asieyeh Keshavarz Dastak (2001).
  • Asieh Aghaeeforuoshani (2003).
  • Mehri Asgarii Foroushani (2004).
  • Elahe Hazrati (2005), Khadije Mahjoori (2005), Maryam Aata pour (2005).
  • Parastoo Zareei (2006)
  • Saeedeh Keraye chian (2007), Mina Sheikh Ali Shahi (2007), Saeede Rashidi (2007).
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