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Tahir H. Ismail Tahir_hs@yahoo.com Ahmed M. Ali ahmedgraph@uomosul.edu.iq College of Computer Sciences and Mathematics University of Mosul, Mosul, Iraq Received on: 29/03/2011 Accepted on: 21/06/2011 ABSTRACT In this paper, we give some definitions and properties of the width distance and find the Hosoya polynomials, Wiener indices, and the average distances of some special cog-graphs with respect to the width distance. Keyword: Width distance, Hosoya polynomial, Wiener index, average distance, coggraphs. ةصاخلا ةننسملا تانايبلا ضعبل ةيضرعلا ةفاسملل ايوسوه دودح تاددعتم  ليعامسإ نسح رهاط   يلع دمحم دمحأ  تايضايرلاو بوساحلا مولع ةيلك ،  لصوملا ةعماج  خيرات  ملاتسا  ثحبلا : 29 / 03 / 2011   لوبق خيرات  ثحبلا : 21 / 06 / 2011  صخلملا  ايوييسوا و يي ييعام ايي اض سييم ةيييضرعلا ةفاييإملل ةاوييللاو ايماييعالا اييعي اايياعض بييا عييحتلا الييا هييف .ةصاللا ةننإملا تانايبلا اعتل ةيضرعلا ةفاإملل ةفاإملا ل عمو رنيو ليل و  لا ةيحاتفملا تاملك :  .ةننإم تانايب ،ةفاإملا ل عم ، رنيو ليل ، ايوسوا و عام ، ةيضرعلا ةفاإملا

Hosoya Polynomials of The Width Distance of Some Cog-Special Graphs