Dissertation Title: The Genealogy of the Seleucids: Seleucid Marriage, Succession, and Descent Revisited

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1 College of Humanities and Social Science Graduate School of History, Classics and Archaeology Masters Programme Dissertation Dissertation Title: The Genealogy of the Seleucids: Seleucid Marriage, Succession, and Descent Revisited Student Name: Alex McAuley Date of Submission: 19 August, 2011 Programme: M.Sc (Taught in Classics Supervisors: Prof. Andrew Erskine Dr. Lloyd Llewellyn-Jones

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52 3.'.-%4714?%2=?$*$?4('+'.0%23%*-4-024:%20*3',4-7*28%+?*0$0$%*-:./*4-47&,2*. 1.20*.'',.00$%$.-+/470$%:%2,+,-./0/?$4/%14?%20$%,$.+12%:*4(/',34'/0%2%+3, 8.22*.<%.-+2%4<-*0*4-5m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a-0$%4-%$.-+=*0/+%:%'418%-012%/%-0/.-.'84/0481'%0%2%:%2/.'47 0$%[$.2.4-*02.+*0*4-A?$%-0$%E81*2%?./.0*0/'.2<%/0=.-+0$%&%'%(*+//%%8*-<', 84/014?%27('=&%'%(*+32*+%/?%2%+%/*24(/4884+*0*%/742%8%2<%-0+,-./0//%%>*-< 2%4<-*0* $%*24:%2'42+/?$4*-0(2-?%2%.3'%04+%'%<.0%*81%2*.'4-024'?$*'% %-/(2*-<'./0*-<*-7'(%-%5a-0$%40$%2$.-+=3%-%.0$0$%/(1%27**.':%-%%247/($ 4-0%8142.2,&%'%(*+1248*-%-%?%.-/%%0$%/%8.22*.<%/./+%/1%2.0%.00%810/4-0$%1.2047&%'%(*+>*-</12%4(1*%+?*0$024(3'%%'/%?$%2%04/0.:%477+%'*-% 0%8142.2*',?*0$.4-:%-*%-07.8*',8%$.-*/85 E:%-0$4(<$.''470$%*-+*:*+(.'/8%-0*4-%+.34:%.2%-40?$.0?4('+$.:%3%%- 4-/*+%2%+V12*8.2,W&%'%(*+/=0$%,-4-%0$%'%//1'.,%+.1*:40.'b.'3%*0+*77%2%-0b24'%*- 0$%1%21%0(.0*4-470$%+,-./0,.-+*0/*-0%2%/0/5`*77%2%-0/0.-+*-<?*0$*-0$%7.8*', 2%.0%++*77%2%-0140%-0*.'742*-7'(%-%*-+*77%2%-0.2%-./=.-+*-0$*//%-/%0$%:.2*4(/?48%-?$4/%8.22*.<%/?4:%/($.-%U1.-/*:%?%3472%'.0*4-/<(*+%+0$%4(2/%470$% SL

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M p f(p, q) = (p + q) O(1)

M p f(p, q) = (p + q) O(1) l k M = E, I S = {S,..., S t } E S i = p i {,..., t} S S q S Y E q X S X Y = X Y I X S X Y = X Y I S q S q q p+q p q S q p i O q S pq p i O S 2 p q q p+q p q p+q p fp, q AM S O fp, q p + q p p+q p AM

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