History of Core thresholds of random $k$-uniform hypergraphs

 Display properties:   number-header: $c_{k,r}$-Numbers: []+Numbers:+- params:+    k: '3'+    r: '2'+  number: '0.8184691607613759831252558008733920329831175469613078626899018670427363129799913288253032902559241024'+  comment: The minimum is attained at $\lambda_{3,2}=1.25643120863$.+- params:+    k: '3'+    r: '3'+  number: '1.552829939577520449289628025855559576466226931102107143431923294941745865086743479581879605638915296'+  comment: The minimum is attained at $\lambda_{3,3}=3.21356352022$.+- params:+    k: '3'+    r: '4'+  number: '2.174492025941424869391681607777529981296692510852437938445923826603023521889889315816723323337233011'+  comment: The minimum is attained at $\lambda_{3,4}=4.92198184677$.+- params:+    k: '3'+    r: '5'+  number: '2.746725876360039113130416440308124105078956249084493826526952096747076459967379033578663025474986972'+  comment: The minimum is attained at $\lambda_{3,5}=6.51559182610$.+- params:+    k: '3'+    r: '6'+  number: '3.289353438262529065990607372942020043647007757434903533191272647567726361773864674923357626812904227'+  comment: The minimum is attained at $\lambda_{3,6}=8.03926382015$.+- params:+    k: '3'+    r: '7'+  number: '3.811659455494417085555522830128696916112917803808867984101384829384625169196271993754301980604536139'+  comment: The minimum is attained at $\lambda_{3,7}=9.51446950888$.+- params:+    k: '3'+    r: '8'+  number: '4.318881026235451476793863579986753320110057877177707070064109553971687356904083518911665008344646696'+  comment: The minimum is attained at $\lambda_{3,8}=10.9534607599$.+- params:+    k: '4'+    r: '2'+  number: '0.7722798398025084362589115204423372898792246826090093125525747762969751339659248599750041805845882712'+  comment: The minimum is attained at $\lambda_{4,2}=1.90381369444$.+- params:+    k: '4'+    r: '3'+  number: '1.333636524131221823346108686205322273982500971147818522739473250415324684238830997654475231493660276'+  comment: The minimum is attained at $\lambda_{4,3}=3.94343299161$.+- params:+    k: '4'+    r: '4'+  number: '1.810866216223604532451731645558285634462684972524608841723989433689268749345701831877195667737549766'+  comment: The minimum is attained at $\lambda_{4,4}=5.71265568979$.+- params:+    k: '4'+    r: '5'+  number: '2.249767571132481991709638861508802234314564776243344476987210437230900690326176824181016006625622472'+  comment: The minimum is attained at $\lambda_{4,5}=7.35623866257$.+- params:+    k: '4'+    r: '6'+  number: '2.665443309491988286329405584588083271038586674935415032537130444469242191120402850927948734682144531'+  comment: The minimum is attained at $\lambda_{4,6}=8.92313354394$.+- params:+    k: '4'+    r: '7'+  number: '3.065087688854232828458211511537655788872671761007110764367912775053342294964377581195879914938794698'+  comment: The minimum is attained at $\lambda_{4,7}=10.4368572894$.+- params:+    k: '4'+    r: '8'+  number: '3.452794112705545007187502536436123720410625509582650523597094628904563951354985474250949879353686103'+  comment: The minimum is attained at $\lambda_{4,8}=11.9108548230$.+- params:+    k: '5'+    r: '2'+  number: '0.7017802664845689682277622650333858599784179575686798819131925668319248298996566051224833271540303690'+  comment: The minimum is attained at $\lambda_{5,2}=2.33666298226$.+- params:+    k: '5'+    r: '3'+  number: '1.157769111592034144785534421701714149624285699501978650307329571177868936379987496907591944662490478'+  comment: The minimum is attained at $\lambda_{5,3}=4.42996174117$.+- params:+    k: '5'+    r: '4'+  number: '1.545698248311169033363806648229693853726840487272600228426957895950823957310733538471724861833145447'+  comment: The minimum is attained at $\lambda_{5,4}=6.23923309984$.+- params:+    k: '5'+    r: '5'+  number: '1.902161098906697844463901493329974755347290910740029519133629954882903636663177533506188768271107303'+  comment: The minimum is attained at $\lambda_{5,5}=7.91593280893$.+- params:+    k: '5'+    r: '6'+  number: '2.239456013729484270499941683141803895183583558676697356255912217478876041580987093913412290959850833'+  comment: The minimum is attained at $\lambda_{5,6}=9.51158154335$.+- params:+    k: '5'+    r: '7'+  number: '2.563484703351145170531271291880132308341631280768257627623008954428977184818630169644474366505284613'+  comment: The minimum is attained at $\lambda_{5,7}=11.0509985031$.+- params:+    k: '5'+    r: '8'+  number: '2.877618817118384091107445624224423733517247635212578007863145953140517934751815256907382611607918825'+  comment: The minimum is attained at $\lambda_{5,8}=12.5483941469$.+- params:+    k: '6'+    r: '2'+  number: '0.6370811272741537470169571390872661686272612023764815932492554704257887151893038461006142694589183687'+  comment: The minimum is attained at $\lambda_{6,2}=2.66039905846$.+- params:+    k: '6'+    r: '3'+  number: '1.021630465700997361252645019118980013540627214643065296611336888758312241738087128561996576729456742'+  comment: The minimum is attained at $\lambda_{6,3}=4.79292235073$.+- params:+    k: '6'+    r: '4'+  number: '1.348789262865272000557080725532970752330039767756719755085559124914303147409895217157320026836102013'+  comment: The minimum is attained at $\lambda_{6,4}=6.63169204498$.+- params:+    k: '6'+    r: '5'+  number: '1.649197026930156589511430268444214242708074598227568788124272721020979019065493394088646901794728082'+  comment: The minimum is attained at $\lambda_{6,5}=8.33288506055$.+- params:+    k: '6'+    r: '6'+  number: '1.933257342959889197324835593611747065037058762239342404489153463600401378581927435996837885285738290'+  comment: The minimum is attained at $\lambda_{6,6}=9.94985603528$.+- params:+    k: '6'+    r: '7'+  number: '2.205984437250255864783261016352820767982034629709665944478125460661021645004428007126829091496445881'+  comment: The minimum is attained at $\lambda_{6,7}=11.5083609231$.+- params:+    k: '6'+    r: '8'+  number: '2.470250087459505507006904841784472958943600963491876447096720438134431752956709585244401215868062281'+  comment: The minimum is attained at $\lambda_{6,8}=13.0231637402$.+- params:+    k: '7'+    r: '2'+  number: '0.5817751769996016417083894367734361074936598379037227464768781680603713297266039299226379201536631650'+  comment: The minimum is attained at $\lambda_{7,2}=2.91830047578$.+- params:+    k: '7'+    r: '3'+  number: '0.9145757127183174997611762062016991315587289695404211627508102149187495671320284348144561994080992393'+  comment: The minimum is attained at $\lambda_{7,3}=5.08145916090$.+- params:+    k: '7'+    r: '4'+  number: '1.197661190661175903943262796385937954453784871856627438264935553353692718107690440644729156659340269'+  comment: The minimum is attained at $\lambda_{7,4}=6.94340314951$.+- params:+    k: '7'+    r: '5'+  number: '1.457448079251875166840493940526802318828436619832708614292572019684886849277501237082915058467796129'+  comment: The minimum is attained at $\lambda_{7,5}=8.66389743514$.+- params:+    k: '7'+    r: '6'+  number: '1.702965796976139420316215760710583117342187550735278921583421222618056468674413907356514417681843298'+  comment: The minimum is attained at $\lambda_{7,6}=10.2977037095$.+- params:+    k: '7'+    r: '7'+  number: '1.938579232167352466373087015440132523356416789370544201288129938864508213890710497740818366894480767'+  comment: The minimum is attained at $\lambda_{7,7}=11.8713007021$.+- params:+    k: '7'+    r: '8'+  number: '2.166792640609733028489040133868649059047633580398487524801005319926075112840672412283211685707237665'+  comment: The minimum is attained at $\lambda_{7,8}=13.3998812040$.+- params:+    k: '8'+    r: '2'+  number: '0.5349972862942120647093615028586932402334758358840069618775340834355588710370165929157239360269315149'+  comment: The minimum is attained at $\lambda_{8,2}=3.13226545054$.+- params:+    k: '8'+    r: '3'+  number: '0.8285355339483092068340119880824122581040263478944722649242611763803801444061341548013800496114170331'+  comment: The minimum is attained at $\lambda_{8,3}=5.32041039859$.+- params:+    k: '8'+    r: '4'+  number: '1.078169217319322920020916628729130248405354550080985903414308997880845963886445608308421470240935175'+  comment: The minimum is attained at $\lambda_{8,4}=7.20134216709$.+- params:+    k: '8'+    r: '5'+  number: '1.307146422785888337627727232743189910811692878018743497978009008061914750458131358475026583304693283'+  comment: The minimum is attained at $\lambda_{8,5}=8.93768905882$.+- params:+    k: '8'+    r: '6'+  number: '1.523451491774642143329123483282857870078019849233589935917179905686914277105115893829523569510649675'+  comment: The minimum is attained at $\lambda_{8,6}=10.5853439866$.+- params:+    k: '8'+    r: '7'+  number: '1.730952680658104541188229743060792854014293701355939375857143643243204575411450657458904714550997219'+  comment: The minimum is attained at $\lambda_{8,7}=12.1713693666$.+- params:+    k: '8'+    r: '8'+  number: '1.931872255411836733030529946902264359949878782104978758785345941331716366775242985330701814031074193'+  comment: The minimum is attained at $\lambda_{8,8}=13.7113053190$.