9 3 ▁- ▁in ▁recognition ▁of ▁its ▁mer itor ious ▁combat ▁accomplish ment ▁ ▁Award ▁of ▁the ▁President ial ▁Stream er ▁Calendar ▁Year ▁ 1 9 9 4 ▁▁ ▁Best ▁Infantry ▁Battalion ▁of ▁ 5 th ▁Infantry ▁Division , ▁Philipp ine ▁Army ▁– ▁ 3 R D ▁Qu arter ▁Calendar ▁Year ▁ 1 9 9 8 ▁ ▁Best ▁Infantry ▁Battalion ▁of ▁ 5 th ▁Infantry ▁Division , ▁Philipp ine ▁Army ▁– ▁Calendar ▁Year ▁ 2 0 1 0 ▁ ▁N OL COM ▁Best ▁Infantry ▁Battalion ▁calendar ▁Year ▁– ▁ 2 0 1 0 ▁ ▁Line age ▁of ▁command ers ▁of ▁the ▁“ DO ▁or ▁D IE ” ▁Battalion ▁ ▁Category : B att al ions ▁of ▁the ▁Philippines <0x0A> </s> ▁In ▁graph ▁theory , ▁the ▁resistance ▁distance ▁between ▁two ▁vertices ▁of ▁a ▁simple ▁connected ▁graph , ▁G , ▁is ▁equal ▁to ▁the ▁resistance ▁between ▁two ▁equivalent ▁points ▁on ▁an ▁elect rical ▁network , ▁constructed ▁so ▁as ▁to ▁correspond ▁to ▁G , ▁with ▁each ▁edge ▁being ▁replaced ▁by ▁a ▁ 1 ▁o hm ▁resistance . ▁It ▁is ▁a ▁metric ▁on ▁graphs . ▁ ▁Definition ▁ ▁On ▁a ▁graph ▁G , ▁the ▁resistance ▁distance ▁ Ω i , j ▁between ▁two ▁vertices ▁vi ▁and ▁v j ▁is ▁ ▁where ▁, ▁where ▁ ▁is ▁the ▁Moore – P en rose ▁inverse ▁of ▁the ▁Lap la cian ▁matrix ▁of ▁G , ▁ ▁is ▁the ▁number ▁of ▁vertices ▁in ▁G , ▁and ▁ ▁is ▁the ▁ ▁matrix ▁containing ▁all ▁ 1 s . ▁ ▁Properties ▁of ▁resistance ▁distance