id sid tid token lemma pos ns064457m4p 1 1 in in ADP ns064457m4p 1 2 the the DET ns064457m4p 1 3 first first ADJ ns064457m4p 1 4 part part NOUN ns064457m4p 1 5 of of ADP ns064457m4p 1 6 the the DET ns064457m4p 1 7 thesis thesis NOUN ns064457m4p 1 8 we we PRON ns064457m4p 1 9 investigate investigate VERB ns064457m4p 1 10 network network NOUN ns064457m4p 1 11 exploration exploration NOUN ns064457m4p 1 12 by by ADP ns064457m4p 1 13 random random ADJ ns064457m4p 1 14 walks walk NOUN ns064457m4p 1 15 defined define VERB ns064457m4p 1 16 via via ADP ns064457m4p 1 17 stationary stationary ADJ ns064457m4p 1 18 and and CCONJ ns064457m4p 1 19 adaptive adaptive ADJ ns064457m4p 1 20 transition transition NOUN ns064457m4p 1 21 probabilities probability NOUN ns064457m4p 1 22 on on ADP ns064457m4p 1 23 large large ADJ ns064457m4p 1 24 , , PUNCT ns064457m4p 1 25 but but CCONJ ns064457m4p 1 26 finite finite NOUN ns064457m4p 1 27 graphs graph NOUN ns064457m4p 1 28 . . PUNCT ns064457m4p 2 1 an an DET ns064457m4p 2 2 exact exact ADJ ns064457m4p 2 3 formula formula NOUN ns064457m4p 2 4 for for SCONJ ns064457m4p 2 5 the the DET ns064457m4p 2 6 number number NOUN ns064457m4p 2 7 of of ADP ns064457m4p 2 8 visited visited ADJ ns064457m4p 2 9 nodes node NOUN ns064457m4p 2 10 and and CCONJ ns064457m4p 2 11 edges edge NOUN ns064457m4p 2 12 as as ADP ns064457m4p 2 13 function function NOUN ns064457m4p 2 14 of of ADP ns064457m4p 2 15 time time NOUN ns064457m4p 2 16 is be AUX ns064457m4p 2 17 presented present VERB ns064457m4p 2 18 , , PUNCT ns064457m4p 2 19 that that PRON ns064457m4p 2 20 is be AUX ns064457m4p 2 21 valid valid ADJ ns064457m4p 2 22 for for ADP ns064457m4p 2 23 arbitrary arbitrary ADJ ns064457m4p 2 24 graphs graph NOUN ns064457m4p 2 25 and and CCONJ ns064457m4p 2 26 arbitrary arbitrary ADJ ns064457m4p 2 27 walks walk NOUN ns064457m4p 2 28 defined define VERB ns064457m4p 2 29 by by ADP ns064457m4p 2 30 stationary stationary ADJ ns064457m4p 2 31 transition transition NOUN ns064457m4p 2 32 probabilities probability NOUN ns064457m4p 2 33 ( ( PUNCT ns064457m4p 2 34 stp stp PROPN ns064457m4p 2 35 ) ) PUNCT ns064457m4p 2 36 . . PUNCT ns064457m4p 3 1 we we PRON ns064457m4p 3 2 show show VERB ns064457m4p 3 3 that that SCONJ ns064457m4p 3 4 for for SCONJ ns064457m4p 3 5 stp stp PROPN ns064457m4p 3 6 walks walk NOUN ns064457m4p 3 7 site site NOUN ns064457m4p 3 8 and and CCONJ ns064457m4p 3 9 edge edge NOUN ns064457m4p 3 10 exploration exploration NOUN ns064457m4p 3 11 obey obey VERB ns064457m4p 3 12 the the DET ns064457m4p 3 13 same same ADJ ns064457m4p 3 14 scaling scaling NOUN ns064457m4p 3 15 ~n ~n NUM ns064457m4p 3 16 to to ADP ns064457m4p 3 17 the the DET ns064457m4p 3 18 power power NOUN ns064457m4p 3 19 of of ADP ns064457m4p 3 20 nu nu PROPN ns064457m4p 3 21 as as ADP ns064457m4p 3 22 function function NOUN ns064457m4p 3 23 of of ADP ns064457m4p 3 24 time time NOUN ns064457m4p 3 25 n n CCONJ ns064457m4p 3 26 , , PUNCT ns064457m4p 3 27 and and CCONJ ns064457m4p 3 28 therefore therefore ADV ns064457m4p 3 29 edge edge VERB ns064457m4p 3 30 exploration exploration NOUN ns064457m4p 3 31 on on ADP ns064457m4p 3 32 graphs graph NOUN ns064457m4p 3 33 with with ADP ns064457m4p 3 34 many many ADJ ns064457m4p 3 35 loops loop NOUN ns064457m4p 3 36 is be AUX ns064457m4p 3 37 always always ADV ns064457m4p 3 38 lagging lag VERB ns064457m4p 3 39 compared compare VERB ns064457m4p 3 40 to to ADP ns064457m4p 3 41 site site NOUN ns064457m4p 3 42 exploration exploration NOUN ns064457m4p 3 43 . . PUNCT ns064457m4p 4 1 we we PRON ns064457m4p 4 2 then then ADV ns064457m4p 4 3 introduce introduce VERB ns064457m4p 4 4 the the DET ns064457m4p 4 5 edge edge NOUN ns064457m4p 4 6 explorer explorer NOUN ns064457m4p 4 7 model model NOUN ns064457m4p 4 8 , , PUNCT ns064457m4p 4 9 presenting present VERB ns064457m4p 4 10 a a DET ns064457m4p 4 11 novel novel ADJ ns064457m4p 4 12 class class NOUN ns064457m4p 4 13 of of ADP ns064457m4p 4 14 adaptive adaptive ADJ ns064457m4p 4 15 walks walk NOUN ns064457m4p 4 16 , , PUNCT ns064457m4p 4 17 that that PRON ns064457m4p 4 18 performs perform VERB ns064457m4p 4 19 faithful faithful ADJ ns064457m4p 4 20 network network NOUN ns064457m4p 4 21 discovery discovery NOUN ns064457m4p 4 22 even even ADV ns064457m4p 4 23 on on ADP ns064457m4p 4 24 dense dense ADJ ns064457m4p 4 25 networks.in networks.in NUM ns064457m4p 4 26 the the DET ns064457m4p 4 27 second second ADJ ns064457m4p 4 28 part part NOUN ns064457m4p 4 29 of of ADP ns064457m4p 4 30 the the DET ns064457m4p 4 31 thesis thesis NOUN ns064457m4p 4 32 we we PRON ns064457m4p 4 33 present present VERB ns064457m4p 4 34 a a DET ns064457m4p 4 35 random random ADJ ns064457m4p 4 36 walk walk NOUN ns064457m4p 4 37 - - PUNCT ns064457m4p 4 38 based base VERB ns064457m4p 4 39 computational computational ADJ ns064457m4p 4 40 model model NOUN ns064457m4p 4 41 of of ADP ns064457m4p 4 42 enzymatic enzymatic ADJ ns064457m4p 4 43 degradation degradation NOUN ns064457m4p 4 44 of of ADP ns064457m4p 4 45 cellulose cellulose NOUN ns064457m4p 4 46 . . PUNCT ns064457m4p 5 1 the the DET ns064457m4p 5 2 coarse coarse ADV ns064457m4p 5 3 - - PUNCT ns064457m4p 5 4 grained grain VERB ns064457m4p 5 5 dynamical dynamical ADJ ns064457m4p 5 6 model model NOUN ns064457m4p 5 7 accounts account NOUN ns064457m4p 5 8 for for ADP ns064457m4p 5 9 the the DET ns064457m4p 5 10 mobility mobility NOUN ns064457m4p 5 11 and and CCONJ ns064457m4p 5 12 action action NOUN ns064457m4p 5 13 of of ADP ns064457m4p 5 14 a a DET ns064457m4p 5 15 single single ADJ ns064457m4p 5 16 enzyme enzyme NOUN ns064457m4p 5 17 as as ADV ns064457m4p 5 18 well well ADV ns064457m4p 5 19 as as ADP ns064457m4p 5 20 for for ADP ns064457m4p 5 21 the the DET ns064457m4p 5 22 synergy synergy NOUN ns064457m4p 5 23 of of ADP ns064457m4p 5 24 multiple multiple ADJ ns064457m4p 5 25 enzymes enzyme NOUN ns064457m4p 5 26 on on ADP ns064457m4p 5 27 a a DET ns064457m4p 5 28 homogeneous homogeneous ADJ ns064457m4p 5 29 cellulose cellulose NOUN ns064457m4p 5 30 surface surface NOUN ns064457m4p 5 31 . . PUNCT ns064457m4p 6 1 the the DET ns064457m4p 6 2 quantitative quantitative ADJ ns064457m4p 6 3 description description NOUN ns064457m4p 6 4 of of ADP ns064457m4p 6 5 cellulose cellulose NOUN ns064457m4p 6 6 degradation degradation NOUN ns064457m4p 6 7 is be AUX ns064457m4p 6 8 calculated calculate VERB ns064457m4p 6 9 on on ADP ns064457m4p 6 10 a a DET ns064457m4p 6 11 spatial spatial ADJ ns064457m4p 6 12 model model NOUN ns064457m4p 6 13 by by ADP ns064457m4p 6 14 including include VERB ns064457m4p 6 15 free free ADJ ns064457m4p 6 16 and and CCONJ ns064457m4p 6 17 bound bound ADJ ns064457m4p 6 18 states state NOUN ns064457m4p 6 19 of of ADP ns064457m4p 6 20 all all DET ns064457m4p 6 21 enzymes enzyme NOUN ns064457m4p 6 22 with with ADP ns064457m4p 6 23 explicit explicit ADJ ns064457m4p 6 24 reactive reactive ADJ ns064457m4p 6 25 surface surface NOUN ns064457m4p 6 26 terms term NOUN ns064457m4p 6 27 ( ( PUNCT ns064457m4p 6 28 e.g. e.g. X ns064457m4p 6 29 , , PUNCT ns064457m4p 6 30 hydrogen hydrogen NOUN ns064457m4p 6 31 bond bond NOUN ns064457m4p 6 32 reformation reformation NOUN ns064457m4p 6 33 ) ) PUNCT ns064457m4p 6 34 and and CCONJ ns064457m4p 6 35 corresponding correspond VERB ns064457m4p 6 36 reaction reaction NOUN ns064457m4p 6 37 rates rate NOUN ns064457m4p 6 38 . . PUNCT ns064457m4p 7 1 the the DET ns064457m4p 7 2 dynamical dynamical ADJ ns064457m4p 7 3 evolution evolution NOUN ns064457m4p 7 4 of of ADP ns064457m4p 7 5 the the DET ns064457m4p 7 6 system system NOUN ns064457m4p 7 7 is be AUX ns064457m4p 7 8 based base VERB ns064457m4p 7 9 on on ADP ns064457m4p 7 10 physical physical ADJ ns064457m4p 7 11 interactions interaction NOUN ns064457m4p 7 12 between between ADP ns064457m4p 7 13 enzymes enzyme NOUN ns064457m4p 7 14 and and CCONJ ns064457m4p 7 15 cellulose cellulose NOUN ns064457m4p 7 16 . . PUNCT ns064457m4p 8 1 we we PRON ns064457m4p 8 2 show show VERB ns064457m4p 8 3 how how SCONJ ns064457m4p 8 4 the the DET ns064457m4p 8 5 model model NOUN ns064457m4p 8 6 provides provide VERB ns064457m4p 8 7 insight insight NOUN ns064457m4p 8 8 into into ADP ns064457m4p 8 9 enzyme enzyme NOUN ns064457m4p 8 10 loading loading NOUN ns064457m4p 8 11 and and CCONJ ns064457m4p 8 12 coverage coverage NOUN ns064457m4p 8 13 for for ADP ns064457m4p 8 14 the the DET ns064457m4p 8 15 degradation degradation NOUN ns064457m4p 8 16 process process NOUN ns064457m4p 8 17 . . PUNCT