
gosset graph

gosset graph, jiska naam thorold gosset key naam parr rakhaa gayaa haye, ack vishisht niyamit graph (7-ayami 321 polytope kaa 1-kankal) haye jisamen 56 sheersh aur sanyojakta 27 haye.
nirmaan.
gosset graph kaa spasht roop seey nimnanusar nirmaan kiya jaa sakata haih 56 sheersh r8 mein vector hain joe nirdeshank koo krambaddh karke praapt kiye jaate hain aur sambhavatah vector (3,3, −1, −1, −1, −1, −1, −1) key vipareet lete hain. aise dou vactor taba nikat hotey hain jaba unakaa aantarik utpaad 8 hotaa haye, yaa samkaksh roop seey jaba unaki doori sootra _ 1 hoti haye.
ack vaikalpik nirmaan 8-vertex poorna graph "key" 8 parr adharit haye. gosset graph key sheershon koo "key" 8 key kinaaron key sett kii dou pratiyon key saath pahachaana jaa sakata haye.
ack hii prati seey aaney vaale gosset graph key dou sheersh aasann hain yadi way "key" 8 key asambaddh kinaaron seey mell khaate hain; dou sheersh joe alag-alag pratiyon seey aatey hain way aasann hain yadi way ack sheersh saajha karane vaale kinaaron seey mell khaate hain.
guna.
gosset graph key vector pratinidhitva mein, dou sheersh dou doori parr hotey hain jaba unakaa aantarik utpaad −8 hotaa haye aur doori teen parr jaba unakaa aantarik utpaad −24 hotaa haye (joe kewal tabhi sambhav haye jaba vector ack dusare key vipareet houn). key" 8 key kinaaron key aadhar parr pratinidhitva mein, gosset graph key dou sheersh teen doori parr hain yadi aur kewal tabhi jaba way "key" 8 key ack hii kinare kii alag-alag pratiyon key anuroop houn.
gosset graph teen vyaas key saath doori-niyamit haye.
gosset graph mein kissy bhee sheersh key pados kaa prerit uplekh scluffly graph key liye samroop haye.
gosset graph kaa automorphism samooh coxitor samooh "ee" 7 key liye samroop haye aur isaliye iska crum 2903040 haye. gosset 321 polytope ack ardh-rekhiya polytope haye. isaliye, gosset graph kaa automorphism samooh, "ee" 7, apane sheershon parr paargamanik roop seey kaary kartaa haye, jisase yeh ack vertex-transitive graph bunn jaataa haye.
gosset graph kii visheshta bahupad haye
isaliye, yeh graph ack abhinn graph haye.

