>\addtolength{\baselineskip}{.4ex} > >\begin{thebibliography}{10} > <ÒbibitemÞÐmahmoodÐ× <ÞôÆÚ¬òŸü׊ÚÞÒiranicÚª¤ÁÚû‘ñÚøÚ¤÷ïõþ¥ýÚóþ¨—üÚð¤êú‘׊ <•‘þ‘ö÷‘õùýڢýŠÚ¢÷ªð‘ùÚ¬÷ã—üÚª¤þéŠÚ‡‡ƒÆ < <ÒbibitemÞÐfbondyÐ× <Þ›üÆÒŠÆÚ“‘÷¢ýÚøÚþøÆÒЧÆÒФÆÚõø¤—ü׊ÚÞÒiranicÚ÷à¤þùÚð¤êú‘ÚøÚ“¤¢û‘ýÚö׊ <õø»¨¨ùÚê¤û÷ðüÚ¢þ“‘ð¤öŠÚ—ú¤öŠÚˆ‡ƒÆ < <ÒbibitemÞÐmostaghniÐ× <Þ’ÆÚõ¨—ç÷üþ¥¢ý׊ÚÞÒiranicÚ¤÷ïõþ¥ýÚóþ¨—üÚ¢¤Úð¤êú‘׊ <•‘þ‘ö÷‘õùýÚª÷‘¨üÚ¤ª¢ŠÚ¢÷ªð‘ùÚ¬÷ã—üÚª¤þéŠÚ„‡ƒÆ > >\english > >\bibitem{alon} >{\sc N.~Alon}, {\em Restricted colorings of graphs}, in Surveys in > combinatorics, K.~Walker, ed., no.~{187} in London Math. Soc. LNS, 1993, > pp.~1--33. > >\bibitem{alontarsi} >{\sc N.~Alon and M.~Tarsi}, {\em Colorings and orientations of graphs}, > Combinatorica, {12} (1992), pp.~125--134. > >\bibitem{behzad} >{\sc M.~Behzad}, {\em Graphs and their chromatic numbers}, PhD thesis, Michigan > State University, 1965. > >\bibitem{LCCref} >{\sc B.~Bollob\'as and A.~J. Harris}, {\em List colourings of graphs}, Graphs > Combin., {1} (1985), pp.~115--127. > >\bibitem{largegirth} >{\sc B.~Bollob\'as and N.~Sauer}, {\em Uniquely colorable graphs with large > girth}, Canad. J. Math., {28} (1976), pp.~1340--1344. > >\bibitem{boroding14} >{\sc O.~V. Borodin}, {\em Generaliztion of {K}otzig's theorem and assigned > edge-colorings of planar graphs}, Math. Z., {48} (1990), pp.~22--28. >\newblock (In Russian). Translation in {\em Math. Notes} 48:1186--1190, 1990. > >\bibitem{chethagg} >{\sc A.~Chetwynd and R.~H\"aggkvist}, {\em A note on list-colorings}, J. Graph > Theory, {13} (1989), pp.~87--95. > >\bibitem{dannas} >{\sc A.~Daneshgar and R.~Naserasr}, {\em On some parameters related to uniquely > vertex--colourable graphs and defining sets}. >\newblock Submitted. > >\bibitem{DenKeed74} >{\sc J.~D\'enes and A.~D. Keedwell}, {\em Latin squares and their > applications}, The {E}nglish Universities Press Ltd, London, 1974. > >\bibitem{DenKeed91} >{\sc J.~D\'enes and A.~D. Keedwell}, {\em Latin squares: new developments in > the theory and applications}, vol.~46 of Annals of Discrete Mathematics, > Elsevier Science Publications, Netherlands, 1991. > >\bibitem{dinmar} >{\sc J.~H. Dinitz and W.~J. Martin}, {\em The stipulation polynomial of a > uniquely list--colorable graph}, Austral. J. Combin., {11} (1995), > pp.~105--115. > >\bibitem{erdos} >{\sc P.~Erd\"os, A.~L. Rubin, and H.~Taylor}, {\em Choosability in graphs}, in > Proceedings, West Coast Conference on Combinatorics, Graph Theory, and > Computing, no.~{26} in Congr. Numer., Arcata, CA, 1979, pp.~125--157. > >\bibitem{egh} >{\sc C.~Eslahchi, M.~Ghebleh, and H.~Hajiabolhassan}, {\em Some concepts in > list coloring}. >\newblock (Submitted). > >\bibitem{galvin} >{\sc F.~Galvin}, {\em The list chromatic index of a bipartite multigraph}, J. > Combin. Theory, Ser. B, {63} (1995), pp.~153--158. > >\bibitem{ghbmah} >{\sc M.~Ghebleh and E.~S. Mahmoodian}, {\em On uniquely list colorable graphs}, > Ars Combin. >\newblock (To appear). > >\bibitem{gravier} >{\sc S.~Gravier}, {\em A {H}aj\'os-like theorem for list coloring}, Discrete > Math., {152} (1996), pp.~299--302. > >\bibitem{haggjans} >{\sc R.~H\"aggkvist and J.~Janssen}, {\em New bounds on the list-chromatic > index of the complete graph and other simple graphs}, Combinatorics, > Probability, and Computing, {6} (1997), pp.~295--313. > >\bibitem{hmtz_defset} >{\sc H.~Hajiabolhassan, M.~L. Mehrabadi, R.~Tusserkani, and M.~Zaker}, {\em A > characterization of uniquely vertex colorable graphs using minimal defining > sets}, Discrete Mathematics, 199 (1999), pp.~233--236. > >\bibitem{hajos} >{\sc G.~Haj\'os}, {\em \"{U}ber eine konstruktion nicht $n$-f\"arbbarer > graphen}, Wiss. Z. Martin Luther Univ. Math.-Natur. Reihe., {10} (1961), > pp.~116--117. > >\bibitem{hall} >{\sc M.~Hall}, {\em Distinct representatives of subsets}, Bull. Amer. Math. > Soc., {54} (1948), pp.~922--926. > >\bibitem{graphcoloring} >{\sc T.~R. Jensen and B.~Toft}, {\em Graph coloring problems}, John Wiley \& > Sons, New York, NY, 1995. > >\bibitem{keedDS} >{\sc A.~D. Keedwell}, {\em Critical sets and critical partial latin squares}, > in Graph Theory, Combinatorics, Algorithms, and Applications, Proc. Third > {C}hina-{USA} International Conference, Beijing, 1993, World Scientific Publ. > Co., Singapore, 1994, pp.~111--124. > >\bibitem{keedwell} >{\sc A.~D. Keedwell}, {\em Critical sets for latin squares, graphs, and block > designs: A survey}, Congr. Numer., {113} (1996), pp.~231--245. > >\bibitem{mahmah} >{\sc M.~Mahdian and E.~S. Mahmoodian}, {\em A characterization of uniquely {\rm > 2}--list colorable graphs}, Ars Combin., {51} (1999), pp.~295--305. > >\bibitem{kerman} >{\sc E.~S. Mahmoodian}, {\em Some problems in graph colorings}, Proc. 26th > Annual Iranian Mathematics Conference, Kerman, 1995, Iranian Math. Soc., > University of Kerman, pp.~215--218. > >\bibitem{tabriz} >{\sc E.~S. Mahmoodian and M.~Mahdian}, {\em On the uniquely list colorable > graphs}, in Proceedings of the 28th Annual Iranian Mathematics Conference, > Part 1, no.~{377} in Tabriz Univ. Ser., Tabriz, 1997, pp.~319--326. > >\bibitem{mnz} >{\sc E.~S. Mahmoodian, R.~Naserasr, and M.~Zaker}, {\em Defining sets of vertex > coloring of graphs and latin rectangles}, Discrete Math., {167}/{168} (1997), > pp.~451--460. > >\bibitem{mirzakhani} >{\sc M.~Mirzakhani}, {\em A small non--{\rm 4}--choosable planar graph}, Bull. > Inst. Combin. Appl., {17} (1996), pp.~15--18. > >\bibitem{10pow26} >{\sc M.~Molloy and B.~Reed}, {\em A bound on the total chromatic number}, > Combinatorica, {18} (1998), pp.~241--280. > >\bibitem{thomassen} >{\sc C.~Thomassen}, {\em Every planar graph is {\rm 5}--choosable}, J. Combin. > Theory, Ser. B, {62} (1994), pp.~180--181. > >\bibitem{thomassen_g5} >{\sc C.~Thomassen}, {\em {\rm 3}--list--coloring planar graphs of girth {\rm > 5}}, J. Combin. Theory, Ser. B, {64} (1995), pp.~101--107. > >\bibitem{trusz} >{\sc M.~Truszczy\'nski}, {\em Some results on uniquely colourable graphs}, > Colloquia Math. Soc. J\'anos Bolyai, {37} (1981), pp.~733--746. > >\bibitem{vizing} >{\sc V.~G. Vizing}, {\em Coloring the vertices of a graph in prescribed > colors}, in Diskret. Analiz, no.~{29} in Metody Diskret. Anal. v Teorii Kodov > i Shem, 1976, pp.~3--10. >\newblock (In Russian). > >\bibitem{voigt} >{\sc M.~Voigt}, {\em List colorings of planar graphs}, Discrete Math., {120} > (1993), pp.~215--219. > >\bibitem{west} >{\sc D.~B. West}, {\em Introduction to graph theory}, Prentice Hall, Upper > Saddle River. NJ, 1996. > >\bibitem{whitney} >{\sc H.~Whitney}, {\em Congruent graphs and the connectivity of graphs}, Amer. > J. Math., {54} (1932), pp.~150--168. > >\farsi > >\end{thebibliography} > >\addtolength{\baselineskip}{-.4ex}