Mathematics for Computer Science
19.2. Random Walks on Graphs 673 Problems for Section 19.2 Class Problems Problem 19.2. (a)Find a stationary distribution for th ...
Chapter 19 Random Processes674 1 a b c 1/2 1/2 1/2 d^1 1/2 Figure 19.5 The student comes out of the final exam located on a part ...
19.2. Random Walks on Graphs 675 What is the limiting distribution of the graph from part a? Would it change if the start distri ...
Chapter 19 Random Processes676 A directed graph issymmetricif, wheneverhv!wiis an edge, so ishw!vi. Given any finite, symmetric ...
19.2. Random Walks on Graphs 677 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 1 1 1 0.5 0.5 1 Figure 19.6 Which ones have uniform sta ...
Index , set difference, 68 .k 1 ;k 2 ;:::;km/-split ofA, 462 Cn, 304, 325 IE, indicator for eventE, 574 K3;3, 361 K 5 , 361 big ...
INDEX 679 axioms, 4 , 10 Banach-Tarski, 102 base case, 116 basis step, 116 Bayes’ Rule, 545 Benes nets, ̆ 287 Bernoulli distribu ...
INDEX680 composition, 73 , 84, 242 concatenation, 160 , 161 , 238 conclusion, 11 , 37 conditional, 391 conditional expectation, ...
INDEX 681 Double or nothing, 528 double summations, 428 drawing, 361 edge connected, 327 edge cover, 310 edges, 235 , 300 effici ...
INDEX682 good count, 181 Google, 661 graph bipartite, 307 coloring problem, 320 matching, 310 perfect, 310 shortest path, 241 va ...
INDEX 683 length-ncycle, 304 length-nwalk relation, 243 length of a walk, 324 letters, 160 linear combination, 186 Linearity of ...
INDEX684 Pairing, 100 pairwise disjoint, 110 pairwise independence, 627 pairwise independent, 554 , 556, 628, 631 Pairwise Indep ...
INDEX 685 random variables, 574 random walk, 608, 669 Random Walks, 661 range, 73 rank, 495 rational, 15 , 18 reachability., 126 ...
INDEX686 string procedure, 96 Strong Induction, 134 strongly connected, 676 Structural induction, 161 structural induction, 159 ...
INDEX 687 width, 351 winnings, 591 Zermelo, 102 Zermelo-Frankel, 11 Zermelo-Frankel Set Theory, 100 ZFC, 11 , 100, 102 ZFC axiom ...
INDEX688 Glossary of Symbols symbol meaning WWD is defined to be ^ and _ or ! implies, if... , then ! state transition :P;P n ...
INDEX 689 symbol meaning the empty string/list A the finite strings over alphabetA rev.s/ the reversal of strings st concate ...
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