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, Defining numbers and circular colouring of 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, (to appear).
[23] A. Daneshgar H. Hajiabolhassan and N. Hamedazimi, On connected colourings of graphs,
Ars Combinatoria, (to appear).
[24] A. Daneshgar H. Hajiabolhassan and S. Taati, On the complexity of unique list colourability and the fixing
number of graphs, Ars Combinatoria, (to appear).

 

-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).

 

-Unpublished or in Preparation [Top]

[1] A. Daneshgar, A topological approach to the representation of complete l-groups,
(Unpublished).

[Top] [Home]