Publications
-Journal Papers and Proceedings
| [1] A. Daneshgar | and M. Bagheri, Generalizing a property of Fibonacci numbers to |
| recursive sequences, Reconciliation With Mathematics, XII (1989), | |
| 282--290. (In Persian) |
| [2] A. Daneshgar, | General theory of translation invariant systems, Combinatorics advances |
| (Tehran, 1994), 77--89, Math. Appl., 329, Kluwer Acad. Publ., | |
| Dordrecht, 1995. (ISBN: 0-7923-3574-0 ) |
| [3] A. Daneshgar, | Reconstruction in a generalized model for translation invariant systems, |
| Fuzzy Sets And Systems, 83 (1996), no. 1, 51--55. |
| [4] A. Daneshgar, | Duality in a generalized model for translation invariant systems, |
| Fuzzy Sets And Systems, 83 (1996), no. 3, 347--352. |
| [5] A. Daneshgar, | Thresholding in a generalized model for translation invariant systems, |
| Fuzzy Sets And Systems, 85 (1997), no. 3, 391--395. |
| [6] A. Daneshgar, | Residuated semigroups and morphological aspects of translation |
| invariant systems, Fuzzy Sets And Systems, 90 (1997), no. 1, 69--81. |
| [7] A. Daneshgar, | Forcing structures and uniquely colorable graphs, Proceedings of |
| AIMC28, Part 1 (Tabriz, 1997), 121--128, Tabriz Univ. Ser. 377, | |
| Tabriz Univ., Tabriz, 1997. |
| [8] A. Daneshgar, | Forcing and graph colourings, in Proceedings of Combinatorics Day |
| VII, Inst. Studies in Theoretical Phys. Math. (IPM), Tehran Iran, | |
| 17th Dec. 1997, 99--320, 3--10. |
| [9] A.Daneshgar, | On r-type constructions and $\Delta$-colour-critical graphs, |
| J. Combin. Math. Combin. Compute (JCMCC), 29 (1999), 183--206. | |
| (Winner of the First Mehrabadi Prize) |
| [10] A. Daneshgar | and R. Naserasr, On small uniquely-vertex-colourable graphs and Xu's |
| conjecture, Discrete Mathematics, 223 (2000), 93--108. | |
| [11] A. Daneshgar, | A. J. W. Hilton and P. D. Johnson, Relations among the fractional chromatic, |
| Hall and Hall condition numbers of simple graphs, selected papers in honor of | |
| Helge Tverberg, Discrete Matematics, 241 (2001), 189--199. |
| [12] A. Daneshgar | and A. Hashemi, A general model for I/O system theory, Proceedings of |
| AIMC31, Tehran University 27--30 Aug 2000, Tehran, Iran. |
| [13] A. Daneshgar, | Forcing structures and cliques in uniquely vertex colourable graphs, |
| SIAM J. Discrete Mathematics, No. 4, 14 (2001), 433--445. | |
| (Winner of the 2nd Young Mathematician Prize) |
| [14] A. Daneshgar | and R. Naserasr, On some parameters related to uniquely |
| vertex-colourable graphs and defining sets, Ars Combinatoria, | |
| 69 (2003), 301--318. |
| [15] A. Daneshgar | and H. Hajiabolhassan, Graph homomorphisms through random walks, |
| J. Graph Theory, 44 (2003), 15--38. | |
| [16] A. Daneshgar | and H. Hajiabolhassan, Random walks and graph homomorphisms , |
| in Graph, Morphisms and Statistical Physics, J. Nesetril and P. Winkler Eds., |
| AMS Proceedings DIMACS Series, Vol. 63 (2004), 49-63. . |
| [17] A. Daneshgar | and H. Hajiabolhassan, Unique list-colourability and the fixing chromatic |
| number of graphs, Discrete Applied Mathematics, 152 (2005), 123--138. |
| [18] A. Daneshgar | and H. Hajiabolhassan, Graph homomorphisms and nodal domains, |
| Linear Algebra And Its Applications, 418 (2006), 44--52. |
| [19] A. Daneshgar | and A. Hashemi, Fuzzy sets from a meta-system-theoretic point of view, |
| Iranian J. Fuzzy Systems, 3 (2006), 1--19. (Invited Paper) |
| [20] A. Daneshgar, | H. Hajiabolhassan and N. Soltankhah, On defining numbers of circular complete graphs, |
| Discrete Mathematics, 307 (2007), 173--180. |
| [21] A. Daneshgar | and H. Hajiabolhassan, Circular colouring and algebraic no-homomorphism theorems, |
| European J. Combinatorics, 28 (2007), 1843--1853.. |
| [22] A. Daneshgar | H. Hajiabolhassan, Density and power graphs in graph homomorphism problem, |
| Discrete Mathematics, 308 (2008), 4027-4030. |
| [23] A. Daneshgar | H. Hajiabolhassan and N. Hamedazimi, On connected colourings of graphs, |
| Ars Combinatoria, 89 (2008), 115--126. |
| [24] A. Daneshgar | H. Hajiabolhassan and R. Javadi, On isoperimetric spectrum of graphs and its approximations, |
| J. Combinatorial Theory Series B, 100 (2010), 390--412. Erratum |
| [25] A. Daneshgar | H. Hajiabolhassan and S. Taati, On the complexity of unique list colourability and the fixing |
| number of graphs, Ars Combinatoria, 97 (2010), 301--319. |
-Technical Reports [Top]
| [1] A. Daneshgar et. al., | Code Generator, in Sharif Research Proceedings, Sharif University, |
| Sharif University Press, 1988, pp. 132--141. (In persian) | |
| [2] A. Daneshgar | and M. Salmasizadeh, Security in personal computers, in Sharif Research |
| Proceedings, Sharif University, Sharif University Press, 1990, pp. 266--276. | |
| (A survey of my BS. project in persian) |
| [3] A. Daneshgar et. al., | Stream ciphers and public key cryptography, in Sharif Research |
| Proceedings, Sharif University, Sharif University Press, 1991, | |
| pp. 494--498. (In persian) |
| [4] A. Daneshgar, | Topology and LG-Fuzzy sets, MSc. thesis, Iran University of Science |
| and Technology, Department of Mathematics, Feb. 1992. (In persian) | |
| [5] A. Daneshgar, | System theory and fuzzy sets Part II: Topology and duality in translation |
| invariant systems, Tech, Rep. 93--021, Institute for Studies in Theoretical | |
| Physics and Mathematics (IPM), Tehran Iran, 1993. |
| [6] A. Daneshgar, | System theory and fuzzy sets Part III: Basic morphological concepts in |
| translation invariant systems, Tech, Rep. 93--039, Institute for Studies in | |
| Theoretical Physics and Mathematics (IPM), Tehran Iran, 1993. |
| [7] A. Daneshgar | and E. S. Mahmoodian, A mathematical approach to translation |
| invariant systems, in Sharif Research Proceedings, Sharif University, Sharif | |
| University Press, 1994--95. (In persian) |
| [8] A. Daneshgar, | Theory of translation invariant systems, PhD dissertation, Sharif |
| University of Technology, Department of Mathematical Sciences, | |
| November 1995. (In persian) |
| [9] A. Daneshgar, | Spectral decomposition in a generalized model of translation invariant |
| systems, in Sharif Research Proceedings, Sharif University, Sharif University | |
| Press, 1995--96. (In persian) |
| [10] A. Daneshgar, | Investigations in translation invariant systems, in Sharif Research |
| Proceedings, Sharif University, Sharif University Press, 1996--97. | |
| (In persian) |
| [11] A. Daneshgar, | Forcing structures and cliques in uniquely vertex colourable graphs, |
| Tech, Rep. 97--209, Institute for Studies in Theoretical Physics and | |
| Mathematics (IPM), Tehran Iran, 1997. |
| [12] A. Daneshgar, | Translation invariant functors, in Sharif Research Proceedings, Sharif |
| University, Sharif University Press, 1997--98. (In persian) | |
| [13] A. Daneshgar, | Forcing and graph colourings, Tech, Rep. 98--292, Institute for |
| Studies in Theoretical Physics and Mathematics (IPM), Tehran Iran, | |
| 1998. |
| [14] A. Daneshgar, | A categorical approach to integration, in Sharif Research Proceedings, |
| Sharif University, Sharif University Press, 1998--99. (In persian) | |
| [15] A. Daneshgar, | On the computational complexity of some new colouring parameters, |
| in Sharif Research Proceedings, Sharif University, Sharif University Press, | |
| 1999--00. (In persian) |
| [16] A. Daneshgar, | On the existence of graph homomorphisms, in Sharif Research Proceedings, |
| Sharif University, Sharif University Press, 1999--2000. (In persian) |
| [17] A.Daneshgar, | On the fixing chromatic number of some special graphs, in Sharif Research |
| Proceedings, Sharif University, Sharif University Press, 2000--2001. (In persian) |
- Books [Top]
| [1] A. Daneshgar, | An Introduction To Modern Plane Geometry, (Unpublished). |
-Talks [Top]
| [1] A. Daneshgar, | On complete lattice-ordered groups, Combinatorics Day III, (IPM) April, |
| 1st, 1993. | |
| [2] A. Daneshgar, | Analysis and design of stream ciphers, A short course in cryptology, ERC |
| and Dept. Math. of Sharif University of Technology, July 31st -- August 4th | |
| 1993. |
| [3] A. Daneshgar, | Public-key cryptography, A short course in cryptology, ERC and Dept. |
| Math. of Sharif University of Technology, July 31st -- August 4th 1993. | |
| [4] A. Daneshgar, | Design of secure systems, A short course in cryptology, ERC and Dept. |
| Math. of Sharif University of Technology, July 31st -- August 4th 1993. | |
| [5] A. Daneshgar, | General theory of translation invariant systems, Workshop of |
| Combinatorics, AIMC25, March 28th -- 31st 1994. | |
| [6] A. Daneshgar, | Forcing structures and uniquely colourable graphs, AIMC28, March |
| 28th -- 31st 1997. | |
| [7] A. Daneshgar, | Forcing and graph colourings, Combinatorics Day VII, (IPM) Dec. |
| 17th, 1997. | |
| [8] A. Daneshgar, | On fractional Hall numbers and fractional choice numbers, |
| Combinatorics Day VIII, (IPM) July 28th, 1998. | |
| [9] A. Daneshgar | and R. Naserasr, On the fixing number of graphs, Combinatorics Day |
| VIII, (IPM) July 28th, 1998. | |
| [10] A. Daneshgar | and A. Hashemi, A general model for I/O system theory, Proceedings of |
| AIMC31, Tehran University 27--30 Aug 2000, Tehran, Iran. |
| [11] A. Daneshgar | Some new concepts in graph colouring, in Proceedings of the First |
| Seminar in Graph Theory, Combinatorics and Computational Algorithms, | |
| Amir-Kabir University 31st Jan. - 1st Feb. (2001), Tehran Iran. | |
| [12] A. Daneshgar | Some aspects of modern cryptography, Invited speaker, 2nd Iranian |
| Society of Cryptology Conference, 21st - 22nd Oct. (2003), Tehran, Iran. |
| [13] A. Daneshgar | Spectral analysis of networks, Mathematics in ICT, Dept. Math. Sci., |
| Sharif Univ. of Tech., Tehran, Iran, 28th Jan. (2004). |
| [14] A. Daneshgar | Random walks on graphs: theory and applications, Invited speaker, 7th Iranian |
| Statistical Conference, Allameh Tabatabaie Univ., Tehran, Iran, August 23-25, (2004). |
| [15] A. Daneshgar | A generalization of L-fuzzy sets and its application in general system theory, Invited speaker, |
| 5th Iranian Conference on Fuzzy Systems, Tehran, Iran, Sep. 7-9, (2004). |
| [16] A. Daneshgar | Spectral geometry on graphs and surfaces, Invited speaker, |
| AIMC35, Shahid-Chamran Univ., Ahvaz, Iran, Jan. 26-29, (2005). |
| [17] A. Daneshgar | Fuzziness in graphs and their morphisms, Invited speaker, |
| 6th Iranian Conference on Fuzzy Systems, Shiraz, Iran, May 17-19, (2006). |
| [18] A. Daneshgar | Spectral geometry in discrete case, Invited speaker, |
| SIMPA-UNESCO-IPM School on recent topics in geometric analysis, May 20- June 2, (2006). |
| [19] A. Daneshgar | Interdisciplinary research, Invited speaker, |
| IRI Academy of Science, Oct. 7, (2010). PDF |
| [20] A. Daneshgar | On mathematical foundations of soft computing, Invited speaker, |
| 11th Iranian Conference on Fuzzy Systems, Zahedan, Iran, July 4-6, (2011). |
-Unpublished or in Preparation [Top]
| [1] A. Daneshgar, | A topological approach to the representation of complete l-groups, |
| (Unpublished). |