Show that line 7 of INITIALIZE-PREFLOW can be changed to 7 h[s] ← |V [G]| - 2 without affecting the correctness or asymptotic performance of the generic pusher label algorithm.
Answer to relevant QuestionsA path cover of a directed graph G = (V, E) is a set P of vertex-disjoint paths such that every vertex in V is included in exactly one path in P. Paths may start and end anywhere, and they may be of any length, including 0. ...We can represent an n-input comparison network with c comparators as a list of c pairs of integers in the range from 1 to n. If two pairs contain an integer in common, the order of the corresponding comparators in the ...Show that edge (u, v) isa. a tree edge or forward edge if and only if d[u] < d[v] < f[v] < f[u],b. a back edge if and only if d[v] < d[u] < f[u] < f[v], andc. a cross edge if and only if d[v] < f[v] < d[u] < f[u].Given a directed graph G = (V, E), explain how to create another graph G′ = (V, E′) such that (a) G′ has the same strongly connected components as G, (b) G′ has the same component graph as G, and ...Calculate the reversible work and irreversibility for the process described, assuming that the heat transfer is with the surroundings at20C.
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