# category chess sorted by CheiRank (K*,P*) #1st column: order index #2d column: PageRank index in the list of all articles (counted from zero, K-1 of paper value) #3rd column: log_10(P(i)) where P(i) is PageRank probability #4th column: CheiRank index in the list of all articles (counted from zero, K^*-1 of paper value) #5th column: log_10(P^*(i)) where P^*(i) is CheiRank probability #6th column: K2 (2DRank) index in the list of all articles (counted from zero, K2-1 of paper value) #7th column: wiki article title # (*) indicates World Champions # # order K log10(P) K* log10(P*) K2 Wiki article title # 34 1 26801 -5.3828e+00 35669 -5.6208e+00 5353 ! * Bobby Fischer 2 39340 -5.5382e+00 37755 -5.6357e+00 6204 ! * Alexander Alekhine 3 73315 -5.7956e+00 53576 -5.7326e+00 15331 ! * Wilhelm Steinitz 4 49586 -5.6337e+00 61791 -5.7737e+00 11926 ! * Emanuel Lasker 5 23902 -5.3373e+00 70329 -5.8123e+00 14387 ! * Garry Kasparov 6 69407 -5.7723e+00 90421 -5.8883e+00 20811 ! Paul Keres 7 61060 -5.7190e+00 99382 -5.9168e+00 23701 ! * Mikhail Botvinnik 8 157779 -6.1206e+00 135934 -6.0134e+00 44684 ! * José Raúl Capablanca 9 224487 -6.2723e+00 159733 -6.0634e+00 71299 ! Magnus Carlsen 10 134212 -6.0515e+00 167354 -6.0777e+00 48304 ! Bent Larsen 11 69991 -5.7758e+00 176492 -6.0938e+00 51943 ! * Boris Spassky 12 67250 -5.7589e+00 220279 -6.1611e+00 69513 ! * Viswanathan Anand 13 63742 -5.7370e+00 245596 -6.1947e+00 80055 ! * Vladimir Kramnik 14 229800 -6.2826e+00 277939 -6.2329e+00 93998 ! Efim Geller 15 120131 -6.0042e+00 288539 -6.2444e+00 98707 ! Samuel Reshevsky 16 48150 -5.6212e+00 296271 -6.2526e+00 102092 ! * Anatoly Karpov 17 85080 -5.8574e+00 296555 -6.2529e+00 102219 ! * Mikhail Tal 18 96590 -5.9111e+00 300100 -6.2566e+00 103809 ! Viktor Korchnoi 19 81301 -5.8384e+00 355241 -6.3086e+00 129054 ! * Max Euwe 20 71619 -5.7858e+00 365139 -6.3171e+00 133618 ! * Veselin Topalov 21 184221 -6.1870e+00 375665 -6.3259e+00 138575 ! Gata Kamsky 22 78953 -5.8260e+00 424851 -6.3640e+00 163038 ! * Tigran Petrosian 23 83430 -5.8491e+00 439248 -6.3746e+00 170376 ! David Bronstein 24 308491 -6.4106e+00 498796 -6.4151e+00 201635 ! * Rustam Kasimdzhanov 25 262925 -6.3409e+00 501288 -6.4167e+00 202944 ! * Ruslan Ponomariov 26 100555 -5.9279e+00 612612 -6.4807e+00 265138 ! * Vasily Smyslov 27 205181 -6.2336e+00 723215 -6.5351e+00 331649 ! Alexei Shirov 28 168452 -6.1486e+00 884430 -6.6022e+00 437251 ! Boris Gelfand 29 479924 -6.6062e+00 942326 -6.6236e+00 477572 ! Wolfgang Unzicker 30 218723 -6.2611e+00 990128 -6.6404e+00 511911 ! Mark Taimanov 31 665314 -6.7530e+00 1237521 -6.7200e+00 704902 ! Wolfgang Uhlmann 32 2590825 -7.2888e+00 1340051 -6.7505e+00 2222486 ! Abe Turner 33 313792 -6.4181e+00 1432383 -6.7762e+00 875117 ! * Alexander Khalifman 34 534545 -6.6549e+00 2220868 -6.9808e+00 1734604 ! Edmar Mednis