Database of RNA Tree Graphs

 

List of RNA Tree Graphs by Number of Vertices:   

                                                               2      3      4      5      6      7      8      9      10      11      12      13     


11 VERTICES


Number of Possible RNA Topologies: 235
Number of Motifs Found: 11
Number of Missing Motifs: 224


 

To learn more about an RNA topology, please click on its tree graph.

These graphs have been ordered according to the second smallest eigenvalue of their Laplacian matrix (λ2 is given).

**Please Note: Red graphs symbolize topologies that have been discovered in naturally occurring structures, while blue and black graphs denote "missing motifs" that have not yet been discovered in nature.
Missing motifs are subdivided into two categories: topologies predicted by k-NN clustering to be RNA-like, or likely to be discovered in naturually occuring RNAs (blue graphs) and topologies predicted by k-NN clustering to be non-RNA-like, or not expected to be found in nature (black graphs).
 

ID: (11,1)
= 0.0810140520

 
 
 

ID: (11,2)
= 0.0841755494

 
 
 

ID: (11,3)
= 0.0877708197

 
 
 

ID: (11,4)
= 0.0887437388

 
 
 

ID: (11,5)
= 0.0917128474

 
 
 

ID: (11,6)
= 0.0929887071

 
 
 

ID: (11,7)
= 0.0937668979

 
 
 

ID: (11,8)
= 0.0964310914

 
 
 

ID: (11,9)
= 0.0973615795

 
 
 

ID: (11,10)
= 0.0974032581

 
 
 

ID: (11,11)
= 0.0986966416

 
 
 

ID: (11,12)
= 0.0991737321

 
 
 

ID: (11,13)
= 0.0997684076

 
 
 

ID: (11,14)
= 0.1019240394

 
 
 

ID: (11,15)
= 0.1023053378

 
 
 

ID: (11,16)
= 0.1025236771

 
 
 

ID: (11,17)
= 0.1030197293

 
 
 

ID: (11,18)
= 0.1033337936

 
 
 

ID: (11,19)
= 0.1053934097

 
 
 

ID: (11,20)
= 0.1058549434

 
 
 

ID: (11,21)
= 0.1058549434

 
 
 

ID: (11,22)
= 0.1080242917

 
 
 

ID: (11,23)
= 0.1080455631

 
 
 

ID: (11,24)
= 0.1081613302

 
 
 

ID: (11,25)
= 0.1088458225

 
 
 

ID: (11,26)
= 0.1098433509

 
 
 

ID: (11,27)
= 0.1107307523

 
 
 

ID: (11,28)
= 0.1112493426

 
 
 

ID: (11,29)
= 0.1121810824

 
 
 

ID: (11,30)
= 0.1125719696

 
 
 

ID: (11,31)
= 0.1129494235

 
 
 

ID: (11,32)
= 0.1133903489

 
 
 

ID: (11,33)
= 0.1142625585

 
 
 

ID: (11,34)
= 0.1147494465

 
 
 

ID: (11,35)
= 0.1148237884

 
 
 

ID: (11,36)
= 0.1156044975

 
 
 

ID: (11,37)
= 0.1167932898

 
 
 

ID: (11,38)
= 0.1169888824

 
 
 

ID: (11,39)
= 0.1172303036

 
 
 

ID: (11,40)
= 0.1172303036

 
 
 

ID: (11,41)
= 0.1184925735

 
 
 

ID: (11,42)
= 0.1191803366

 
 
 

ID: (11,43)
= 0.1198405623

 
 
 

ID: (11,44)
= 0.1206147596

 
 
 

ID: (11,45)
= 0.1206147596

 
 
 

ID: (11,46)
= 0.1206147596

 
 
 

ID: (11,47)
= 0.1211766824

 
 
 

ID: (11,48)
= 0.1214697212

 
 
 

ID: (11,49)
= 0.1222472265

 
 
 

ID: (11,50)
= 0.1228615716

 
 
 

ID: (11,51)
= 0.1228816435

 
 
 

ID: (11,52)
= 0.1232149303

 
 
 

ID: (11,53)
= 0.1235605329

 
 
 

ID: (11,54)
= 0.1241191626

 
 
 

ID: (11,55)
= 0.1251705140

 
 
 

ID: (11,56)
= 0.1253970712

 
 
 

ID: (11,57)
= 0.1255467534

 
 
 

ID: (11,58)
= 0.1264513433

 
 
 

ID: (11,59)
= 0.1269664764

 
 
 

ID: (11,60)
= 0.1276403517

 
 
 

ID: (11,61)
= 0.1277237833

 
 
 

ID: (11,62)
= 0.1283471137

 
 
 

ID: (11,63)
= 0.1286122948

 
 
 

ID: (11,64)
= 0.1286714077

 
 
 

ID: (11,65)
= 0.1288129240

 
 
 

ID: (11,66)
= 0.1292511672

 
 
 

ID: (11,67)
= 0.1309732944

 
 
 

ID: (11,68)
= 0.1315253228

 
 
 

ID: (11,69)
= 0.1330560148

 
 
 

ID: (11,70)
= 0.1330581456

 
 
 

ID: (11,71)
= 0.1332612336

 
 
 

ID: (11,72)
= 0.1337678134

 
 
 

ID: (11,73)
= 0.1339213997

 
 
 

ID: (11,74)
= 0.1339430958

 
 
 

ID: (11,75)
= 0.1342618763

 
 
 

ID: (11,76)
= 0.1353729218

 
 
 

ID: (11,77)
= 0.1365541965

 
 
 

ID: (11,78)
= 0.1369350702

 
 
 

ID: (11,79)
= 0.1369782686

 
 
 

ID: (11,80)
= 0.1382104754

 
 
 

ID: (11,81)
= 0.1386937648

 
 
 

ID: (11,82)
= 0.1391056925

 
 
 

ID: (11,83)
= 0.1391941458

 
 
 

ID: (11,84)
= 0.1391941458

 
 
 

ID: (11,85)
= 0.1391941458

 
 
 

ID: (11,86)
= 0.1391941458

 
 
 

ID: (11,87)
= 0.1410426050

 
 
 

ID: (11,88)
= 0.1415071934

 
 
 

ID: (11,89)
= 0.1416882426

 
 
 

ID: (11,90)
= 0.1423048526

 
 
 

ID: (11,91)
= 0.1431283802

 
 
 

ID: (11,92)
= 0.1441898048

 
 
 

ID: (11,93)
= 0.1441939920

 
 
 

ID: (11,94)
= 0.1441939920

 
 
 

ID: (11,95)
= 0.1445013732

 
 
 

ID: (11,96)
= 0.1448835582

 
 
 

ID: (11,97)
= 0.1449998319

 
 
 

ID: (11,98)
= 0.1450258940

 
 
 

ID: (11,99)
= 0.1453077644

 
 
 

ID: (11,100)
= 0.1456057578

 
 
 

ID: (11,101)
= 0.1459089071

 
 
 

ID: (11,102)
= 0.1464883089

 
 
 

ID: (11,103)
= 0.1468434334

 
 
 

ID: (11,104)
= 0.1474988014

 
 
 

ID: (11,105)
= 0.1481913626

 
 
 

ID: (11,106)
= 0.1494953781

 
 
 

ID: (11,107)
= 0.1498155743

 
 
 

ID: (11,108)
= 0.1510156095

 
 
 

ID: (11,109)
= 0.1513625532

 
 
 

ID: (11,110)
= 0.1527307630

 
 
 

ID: (11,111)
= 0.1530483961

 
 
 

ID: (11,112)
= 0.1532586068

 
 
 

ID: (11,113)
= 0.1533160508

 
 
 

ID: (11,114)
= 0.1539338678

 
 
 

ID: (11,115)
= 0.1546352059

 
 
 

ID: (11,116)
= 0.1548191756

 
 
 

ID: (11,117)
= 0.1557150483

 
 
 

ID: (11,118)
= 0.1558367908

 
 
 

ID: (11,119)
= 0.1560699046

 
 
 

ID: (11,120)
= 0.1574025750

 
 
 

ID: (11,121)
= 0.1575408429

 
 
 

ID: (11,122)
= 0.1580138952

 
 
 

ID: (11,123)
= 0.1587789953

 
 
 

ID: (11,124)
= 0.1591138989

 
 
 

ID: (11,125)
= 0.1601380259

 
 
 

ID: (11,126)
= 0.1605726033

 
 
 

ID: (11,127)
= 0.1610616446

 
 
 

ID: (11,128)
= 0.1611271054

 
 
 

ID: (11,129)
= 0.1612299830

 
 
 

ID: (11,130)
= 0.1622700393

 
 
 

ID: (11,131)
= 0.1625075489

 
 
 

ID: (11,132)
= 0.1630037874

 
 
 

ID: (11,133)
= 0.1630309969

 
 
 

ID: (11,134)
= 0.1631294936

 
 
 

ID: (11,135)
= 0.1638978571

 
 
 

ID: (11,136)
= 0.1642267555

 
 
 

ID: (11,137)
= 0.1648937762

 
 
 

ID: (11,138)
= 0.1683479548

 
 
 

ID: (11,139)
= 0.1686008424

 
 
 

ID: (11,140)
= 0.1689441055

 
 
 

ID: (11,141)
= 0.1691245437

 
 
 

ID: (11,142)
= 0.1691424549

 
 
 

ID: (11,143)
= 0.1694941670

 
 
 

ID: (11,144)
= 0.1699884087

 
 
 

ID: (11,145)
= 0.1715728790

 
 
 

ID: (11,146)
= 0.1723310351

 
 
 

ID: (11,147)
= 0.1725176871

 
 
 

ID: (11,148)
= 0.1729090810

 
 
 

ID: (11,149)
= 0.1729090810

 
 
 

ID: (11,150)
= 0.1747561842

 
 
 

ID: (11,151)
= 0.1756166965

 
 
 

ID: (11,152)
= 0.1758637577

 
 
 

ID: (11,153)
= 0.1763804108

 
 
 

ID: (11,154)
= 0.1768569499

 
 
 

ID: (11,155)
= 0.1768818200

 
 
 

ID: (11,156)
= 0.1772039831

 
 
 

ID: (11,157)
= 0.1775299609

 
 
 

ID: (11,158)
= 0.1810310185

 
 
 

ID: (11,159)
= 0.1821588725

 
 
 

ID: (11,160)
= 0.1851228029

 
 
 

ID: (11,161)
= 0.1851280481

 
 
 

ID: (11,162)
= 0.1855956167

 
 
 

ID: (11,163)
= 0.1857257038

 
 
 

ID: (11,164)
= 0.1858066469

 
 
 

ID: (11,165)
= 0.1859044135

 
 
 

ID: (11,166)
= 0.1871349365

 
 
 

ID: (11,167)
= 0.1873035282

 
 
 

ID: (11,168)
= 0.1875631362

 
 
 

ID: (11,169)
= 0.1878467798

 
 
 

ID: (11,170)
= 0.1888069063

 
 
 

ID: (11,171)
= 0.1899608672

 
 
 

ID: (11,172)
= 0.1905558556

 
 
 

ID: (11,173)
= 0.1932078749

 
 
 

ID: (11,174)
= 0.1959329695

 
 
 

ID: (11,175)
= 0.1980622560

 
 
 

ID: (11,176)
= 0.1980622560

 
 
 

ID: (11,177)
= 0.1980622560

 
 
 

ID: (11,178)
= 0.1980622560

 
 
 

ID: (11,179)
= 0.1980622560

 
 
 

ID: (11,180)
= 0.1980622560

 
 
 

ID: (11,181)
= 0.1984466761

 
 
 

ID: (11,182)
= 0.1989350766

 
 
 

ID: (11,183)
= 0.1994453371

 
 
 

ID: (11,184)
= 0.2020247579

 
 
 

ID: (11,185)
= 0.2021513581

 
 
 

ID: (11,186)
= 0.2021830231

 
 
 

ID: (11,187)
= 0.2024616003

 
 
 

ID: (11,188)
= 0.2047780156

 
 
 

ID: (11,189)
= 0.2060214728

 
 
 

ID: (11,190)
= 0.2082291842

 
 
 

ID: (11,191)
= 0.2087121457

 
 
 

ID: (11,192)
= 0.2087121457

 
 
 

ID: (11,193)
= 0.2117677331

 
 
 

ID: (11,194)
= 0.2139871269

 
 
 

ID: (11,195)
= 0.2147693634

 
 
 

ID: (11,196)
= 0.2148328871

 
 
 

ID: (11,197)
= 0.2165422142

 
 
 

ID: (11,198)
= 0.2167322338

 
 
 

ID: (11,199)
= 0.2186107934

 
 
 

ID: (11,200)
= 0.2198710442

 
 
 

ID: (11,201)
= 0.2212796509

 
 
 

ID: (11,202)
= 0.2221264988

 
 
 

ID: (11,203)
= 0.2247829437

 
 
 

ID: (11,204)
= 0.2278905809

 
 
 

ID: (11,205)
= 0.2287145257

 
 
 

ID: (11,206)
= 0.2296466827

 
 
 

ID: (11,207)
= 0.2298301607

 
 
 

ID: (11,208)
= 0.2337655872

 
 
 

ID: (11,209)
= 0.2350462824

 
 
 

ID: (11,210)
= 0.2363228351

 
 
 

ID: (11,211)
= 0.2388599962

 
 
 

ID: (11,212)
= 0.2395998240

 
 
 

ID: (11,213)
= 0.2429144382

 
 
 

ID: (11,214)
= 0.2430188358

 
 
 

ID: (11,215)
= 0.2491738051

 
 
 

ID: (11,216)
= 0.2513995469

 
 
 

ID: (11,217)
= 0.2538424432

 
 
 

ID: (11,218)
= 0.2607043386

 
 
 

ID: (11,219)
= 0.2679491937

 
 
 

ID: (11,220)
= 0.2679491937

 
 
 

ID: (11,221)
= 0.2679491937

 
 
 

ID: (11,222)
= 0.2679491937

 
 
 

ID: (11,223)
= 0.2714253366

 
 
 

ID: (11,224)
= 0.2788114548

 
 
 

ID: (11,225)
= 0.2953171730

 
 
 

ID: (11,226)
= 0.2960191369

 
 
 

ID: (11,227)
= 0.3014209569

 
 
 

ID: (11,228)
= 0.3104601204

 
 
 

ID: (11,229)
= 0.3359200954

 
 
 

ID: (11,230)
= 0.3819660246

 
 
 

ID: (11,231)
= 0.3819660246

 
 
 

ID: (11,232)
= 0.3819660246

 
 
 

ID: (11,233)
= 0.3819660246

 
 
 

ID: (11,234)
= 0.4297150373

 
 
 

ID: (11,235)
= 1.0000000000

 
 
 



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