
vividhata (ganit)

ganit mein, vividhata metrick sthaan kii avadharana kaa ack saamaanyikaran haye. iss avadharana koo 2012 mein bryant aur tupper dwara pesh kiya gayaa thaa. 
joe vividhataon koo "bahu-maarg metrick kaa ack roop" kahate hain. avadharana kaa anuprayog araikhik vishleshan mein paaya jaataa haye.
ack nirdhaarit sootra _ 1 diye jaane parr, sootra _ 2 koo sootra _ 1 key parimit upasamuchchay kaa samooh maanaa jaae.
ack vividhata ack jodee sootra haye jisamen ack sett sootra _ 1 aur ack falan sootra _ 6 santoshjanak hotaa haye. 
bryant aur tupper kaa maanana haye kii yeye swayamsiddh sootra ekarasata kaa sanket dete hain; yaani, yadi sootra _ 12, tou sootra _ 13. way kahate hain kii "vividhata" shabd jatijanya aur paaristhitik vividhataon parr kaam mein unaki paribhasha key ack vishesh mamle kii upasthiti seey aataa haye. way nimnalikhit udaaharan dete hainh
vyaas vividhata.
sootra _ 14 koo ack metrick sthaan honey dein. sabhi sootra key liye sootra _ 15 kii setting ack vividhata koo paribhaashit karati haye.
sootra _ 17 vividhata.
sabhi seemit sootra _ 18 key liye yadi humm sootra _ 19 koo paribhaashit karate hain tou sootra _ 20 ack vividhata haye.
jatijanya vividhata.
yadi "t" ack jatijanya vriksh haye jisamen "x" shrenibaddh haye. pratyek parimit sootra _ 21 key liye, paribhaashit karein
sootra _ 22 "a" mein taxes koo jodane vaale "t" kii sabse chhoti upa-vriksh kii lambai key roop mein. phir sootra _ 23 ack (phylogenetic) vividhata haye.
steiners kii vividhata.
sootra _ 24 koo ack metrick sthaan honey dein. pratyek parimit sootra _ 21 key liye, sootra _ 22 koo darshaane dein
aeye" mein tatvon koo jodane vaale "aiks" key bheetar ack steiner pedh kii nyuntam lambai. taba sootra _ 4 ack haye
vividhata.
vividhata koo kaat diyaa.
sootra _ 4 koo vividhata honey dein. sabhi sootra key liye _ 16 paribhaashit karein
sootra _ 30. phir yadi sootra _ 31 haye, tou sootra _ 32 ack vividhata haye.
samooh vividhata.
yadi sootra _ 33 ack graph haye, aur sootra _ 22 koo kissy bhee seemit "a" key liye "a" key sabse badey samooh key roop mein paribhaashit kiya gayaa haye, tou sootra _ 4 ack vividhata haye.