▁of ▁the ▁neighbor ▁of ▁any ▁node ▁is ▁greater ▁than ▁the ▁average ▁degree ▁of ▁that ▁node . ▁In ▁social ▁networks , ▁it ▁mean ▁that ▁your ▁friends , ▁on ▁average , ▁have ▁more ▁friends ▁than ▁you . ▁This ▁is ▁famous ▁as ▁the ▁friendship ▁par ado x . ▁It ▁can ▁be ▁shown ▁that ▁a ▁network ▁can ▁have ▁a ▁giant ▁component , ▁if ▁its ▁average ▁excess ▁degree ▁is ▁larger ▁than ▁one : ▁ ▁Bear ▁in ▁mind ▁that ▁the ▁last ▁two ▁equations ▁are ▁just ▁for ▁the ▁configuration ▁model ▁and ▁to ▁derive ▁the ▁excess ▁degree ▁distribution ▁of ▁a ▁real - word ▁network , ▁we ▁should ▁also ▁add ▁degree ▁correl ations ▁into ▁account . ▁ ▁See ▁also ▁▁▁ ▁Graph ▁theory ▁ ▁Complex ▁network ▁ ▁Sc ale - free ▁network ▁ ▁Random ▁graph ▁ ▁Struct ural ▁cut - off ▁ ▁References ▁▁▁▁▁▁▁▁▁▁▁ ▁Category : Graph ▁theory ▁Category : Graph ▁invari ants ▁Category : Network ▁theory <0x0A> </s> ▁The ▁Eastern ▁al - Has ak ah ▁off ensive ▁was ▁launched ▁in ▁the ▁Al - Has ak ah ▁Governor ate ▁during ▁the ▁Sy rian ▁Civil ▁War , ▁by ▁the ▁Kur d ish ▁People ' s ▁Prote ction ▁Units , ▁Ass y rian ▁Christian ▁milit ias , ▁and ▁al lied ▁Arab ▁forces ▁against ▁the ▁j ih ad ist ▁Islam ic ▁State ▁of ▁Ira q ▁and ▁the ▁Lev ant ▁( IS IL ▁or ▁IS IS ), ▁with ▁the ▁intent ▁of ▁ret aking ▁the ▁areas ▁of ▁the ▁J az ira ▁C anton ▁that ▁had ▁been ▁captured ▁by ▁I SI L . ▁Sub sequently , ▁the ▁Sy rian