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Novel Model For Current Social Networks
1.
Ñ Ø Ñ
Ø Ð ÑÓ Ð ÓÖ ×Ó Ð Ò ØÛÓÖ × ÔÓ ÍÒ Ú Ö× ØÝ Ó Ð × ÓÛ ÔÖ Ð ½ ¸ ¾¼¼ ×ØÖ Ø ÁÒ Ø ×ÔÔÖ ÑØ Ñ Ø Ð ÑÓ Ð ÓÖ ×Ó Ð Ò ØÛÓÖ × × ÔÖÓÔÓ× º Ï Ó Ù× ÓÒ Ø Ð ×Ø Ò Ó Û ×Ó Ð Ò ØÛÓÖ × Ð ÑÝ×Ô ¸ Ç Ò × Ñ Ð Öº Ì Ö Ñ ÛÓÖ ÓÙÐ Ù× ØÓ ×ØÙ ÝØ ×Ø Ø Ò Ò Ñ ÔÖÓÔ Ö¹ Ø × × Û ÐÐ ×Ø ÝÒ Ñ ÚÓÐÙØ ÓÒ Ó Ø Ò ØÛÓÖ º ½ ÁÒØÖÓ Ù Ø ÓÒ ØÓ ×Ó Ð Ò ØÛÓÖ × ÈÙØ Ö Ò Ø ÓÒ× Ò ÔÖÓÔ ÖØ ×º ××ÙÑÔØ ÓÒ ÓÙØ Ø Û ×Ó Ð Ò ØÛÓÖ ¾Ì ÑÓ Ð Ì ÑÓ Ð Ù× ØÓ × Ö Ø ×Ó Ð Ò ØÛÓÖ × ÑÙÐØ ¹ Ñ Ò× ÓÒ Ð ×Ô Û Ø Ò ÑÙÐØ ¹Ñ ØÖ ×Ø Ò º À Ò Ø Ô× Ù Ó ØÓÔÓÐÓ Ð ÔÖÓÔ ÖØ ×Ó Ø Ò ØÛÓÖ Ö Ö ÔÖ × ÒØ Ý Ö Ø ÖÔºÌ Ñ Ò× ÓÒ Ó Ø ×Ô × ÚÒ ÝØ ØÙÖ × Ó Ø Ò Ú ÙÐÛ Û ÒØ ØÓ Ò ÐÝÞ º ÓÖ Ü ÑÔÐ Ò ØÝÔ Ð ×Ó Ð Ò ØÛÓÖ Û Ò ÓÒ× ÖØ ÓÐÐÓÛ Ò ØÙÖ × ¸ × Ü¸ Ñ Ö Ø Ð ×Ø ØÙ׸ ÒØ Ö ×Ø× ´×ÔÓÖظÑÙ× µ ÐÐ Ó Ø Ñ Ò Ö ÔÖ × ÒØ × × Ö Ø ÚÖ Ð ×º ÁØ³× Ö ØÓ Ø Ò ÓÙØ ØÙÖ Ø Ø × ØÓ Ö ÔÖ × ÒØ Ý ÓÒØ ÒÙÓ× Ú Ö Ð¸Ø Ö ÓÖ Ø Ö×Ø ××ÙÑÔØ ÓÒ ÓÖ Ø ÑÓ Ð× Ø ØÙÖ ×Ô Ø³× × Ö Ø º Ì × ××ÙÑÔØ ÓÒ Û ÐÐ Ú ÑÔÓÖØ ÒØ ÓÒ× ÕÙ Ò × Ò Ø Ò ÜØ ÓÒ× Ö Ø ÓÒ׺ ÒÓØ Ö Ø ÓÒ Ð ÝÔÓØ ×Ý× Ø ØÛ ÓÒ× Ö ×Ø ØØ ØÙÖ ×Ô × ÓÒ×Ø ÒØ Ò Ø Ñ Ø ÐÐÓÛ× Ù× ØÓ Ñ Ò ÐÝ× × Ò × ÓÖØ Ô Ö Ó ¸ º º Ô ÓÔÐ ÓÒ³Ø Ò × Ü¸ ÓÒ³Ø ÓÑ ÓÐ Ò ÓÒ³Ø Ò ÒØ Ö ×Ø׺ Ì × ÓÖØ Ô Ö Ó × ÓÒ× Ö ÓÖ ÓÒ×Ø ÒØ ÔÓÔÙ∩Ð Ø ÓÒ ×Ø Ôº ÁÒ Ø × Ú ØÓÖ Ð ×Ô Û Ò ÒØÖÓ Ù Ñ ØÖ ÙÒ Ø ÓÒ Ø ØÑ ×ÙÖ Ø ×Ø Ò ØÛ Ò ØÛÓ Ò Ú Ù Ð× ´ × Ö Ø Ú ØÓÖ× Ò ÓÙÖ × µÛ ÐÐ ÐÐ di (a, b) = f (a, b) Ø ÒØ Ö¹Ô Ö×ÓÒ Ð ×Ø Ò Ö ÒØ Ñ ØÖ ÓÙÐ Ù× (a1 − b1 )2 + ... + (an − bn )2 • di (a, b) = ÙÐ Ö ×Ø Ò Û Ö Ò ×Ø ¹ Ñ Ò× ÓÒ ½
2.
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ÑÒ ØØ Ò ×Ø Ò • Ò ÙÐ Ö Û Ø ×Ø Ò ´× Ð Ø Öµ Ì ×Ø Ò ÜÔÖ ×× ÓÛ Û ÐÐ ¾ Ò Ú Ù Ð× Ñ Ø Ø ÑÓÖ ÐÓ× Ø Ú ÐÙ × Ó Ø Ú ØÓÖ ÓÑÔÓÒ Ø× Ö ¸Ø ÑÓÖ Ø Ò Ú Ù Ð× Ö ÐÓ× º Ì ÓØ Ö Ñ ØÖ Ø³× Ö Ð Ø ØÓ Ø ØÓÔÓÐÓ Ð Ö ÔÖ × ÒØ Ø ÓÒ Ó Ø ×Ó Ð ÖÔ Ú ÖÝ ÒÓ Ó Ø ÖÔ × ××Ó Ø ØÓ Ú ØÓÖ Ó Ø ×Ô Ò Ø Ù× Ø Û Ø ××Ó Ø ØÓ Ø ÐÒ ØÛ Ò ¾ ÒÓ × Ö ÔÖ × ÒØ Ø ØÓÔÐÓ Ð ×Ø Ò ¸ ÖÓÑ ÒÓÛ ÐÐ ds (va , vb ) = min{Sp (w)} Sp Ø ×Ó Ð ×Ø Ò Û Ö × ×Ó ÐÔ Ø ØÛ Ò w k × Sp (i, .., j, ..., k) = wik º ØÛÓ ÒÓ i VU , EU º Ú ÖÝ Ò Ú Ù Ð × ×Ù ¹ Ö Ô Ó Ø ÙÒ Ú Ö× Ð ×Ó Ð ÖÔ VU Ì ÒÓ ×Ó Ø ÙÒ Ú Ö× Ð ÖÔ Ö ÓÑÔÓ× ÝØ ÒÓ ×Ó Ø ÔÓÔÙ¹ EU Ð Ø ÓÒ¸ Û Ð Ø ×Ó Ø ÙÒ Ú Ö× Ð ÖÔ × ÓÛ× Ø Ö Ò× Ô Ö Ð Ø ÓÒ× wi,j = {−1, 0, 1} ØÛ ÒØ Ñ¸ Ø Ö ÓÖ Ø Û Ø ÓÖ Ú ÖÝ ÒØ ÖÔÖ Ø × ÒÓØ Ö Ò ×¸ Ô Ò Ò Ö ÕÙ ×ظ Ö Ò ×º Va , Ea ¸ Ì ×Ù ¹ Ö Ô × Ò ÝÒ Ú ÙÐ ¸ ÒÓØ × Ò Ó ÓÙÖ× Va ⊆ VU Ea ⊆ EU º Ò ÁØ³× Ò Ó Ö Ö Ò ÖÑ Ø Ô Ö×Ô Ø Ú Ó Ø ÖÔ × ÔÓ× Ø ÓÒ Ð ÔÒ Ò¸ ØÑ Ò× Ø Ø Ú ÖÝ ÒÓ × Ø ÖÔ Ò Ö ÒØ Û Ý Û Ø ¾Ò Ú Ù Ð× Ò ÓÑÔ Ö Ø Û ØÓ Ø ÓÑÑÓÒ ×Ø Ý Û ÐÐ Ö Òغ ÁÒ× ÖØ Ö ÖÔ Ð Ü ÑÔÐ ¿ ÈÓÔÙÐ Ø ÓÒ Ò Þ Ð Þ Ø ÓÒ Ì ÔÓÔÙÐ Ø ÓÒ Ò ÓÙÖ ÑÓ Ð Ö ÔÖ × ÒØ ØÓ Ø ØÑ ÚÖ Ð Û ÒØ ÔÓÔÙÐ Ø ÓÒ × ÓÒ×Ø ÒØ Ø ×Ó Ð Ò ØÛÓÖ × Ò ×Ø Ð ×Ø Ø º Á× Ø × ÓÒ ÝÔÓØ ×× × ÐØ Ø ØÙÖ ×Ô × Ø Ñ ¹Ú Ö ÒØ Ø Ù× ÐÐÓÛ Ò ØÖ Ò× Ø ÓÒ× ÓØ Ò ØÛÓÖ ÓÖ Ú ÖÝ ÔÓÔÙÐ Ø ÓÒ ×Ø Ôº Ì ÒØ Ð ÔÓÔÙÐ Ø ÓÒ × ÒÖØ Ý ÒØÖÓ Ù Ò Ö Ò ÓÑ Ú ØÓÖ× ÒØ ØÙÖ ×Ô º Ì Ò Ö Ø ÓÒ Ó Ø Ò ØÛÓÖ ØÖÝ ØÓ Ñ Ñ ØÝÔ Ð Ò ØÛÓÖ ÓÒ ÙÖ Ø ÓÒ ×Ó Ð Ò ØÛÓÖ × ÑÓ×ØÐÝ ÓÖ ÒÞ Ò ÐÙ×Ø Ö× Ó Ú ÖÝ Ò × Þ ¸ ÐÙ×Ø Ö× Ö Û ÐÝ ÒØ Ö ÓÒÒ Ø ÓØ Öº ÈÖÓ ÙÖ × ½º Ô ÖØ Ø ÓÒ Ø ÔÓÔÙÐ Ø ÓÒ Ò Ö Ò ÓÑ ÒÙÑ ÖÓ × Ñ ÒØ× Û Ø Ö ÒØ Ö Ò ÓÑ × Þ ¾º Ô Ö Ò ÓÑ ØÙÖ Ú ØÓÖ Ö ÔÖ × ÒØ× Ñ Ò Ú ØÓÖ ¿º ÓÓ× Ö Ò ÓÑ Ú Ö Ò Ò ×ØÖ ÙØ Ø Ö×Ø × Ñ ÒØ× Ó Ò Ú Ù Ð× ÛØ Ù×× Ò ×ØÖ ÙØ ÓÒ ºÖÔ Ø ×Ø Ô ¾ ÙÒØ Ð ÐÐ Ø × Ñ ÒØ× Ü ÔØ ÓÒ Ö Ò× ºØ Ð ×Ø × Ñ ÒØ Ó ÔÓÔÙÐ Ø ÓÒ × ×ØÖ ÙØ Ú ÒÐÝ Ò Ø ØÙÖ ×Ô Ø ×Ò Ú Ù Ð× Ò ÓÒ× Ö ×Û Ø ÒÓ × ¾
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