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Discrete MathematicsLet G=(V, E) be a simple graph. Let R be the relation on V consisting of pairs of vertices (u,v) such that there is a path from u to v or such that u=v. Show that R is an equivalence relation.20223mDiscrete MathematicsSuppose that T_1 and T_2 are spanning trees of a simple graph G. Moreover, suppose that e_1 is an edge in T_1 that is not in T_2. Show that there is an edge e_2 in T_2 that is not in T_1 such that T_1 remains a spanning tree if e_1 is removed from it and e_2 is added to it, and T_2 remains a spanning tree if e_2 is removed from it and e_1 is added to it.20225mArtificial intelligenceGraph used to represent semantic network is (i) undirected graph (ii) directed graph (iii) directed acyclic graph (DAG) (iv) directed complete graph20222mDesign and Analysis of Algorithms An adjacency matrix representation of a graph cannot contain information of (i) nodes (ii) edges (iii) direction of edges (iv) parallel edges20222m
PreviousLet G=(V, E) be a simple graph. Let R be the relation on V consisting of pairs of vertices (u,v) such that there is a path from u to v or such that u=v. Show that R is an equivalence relation.NextUse pseudocode to describe an algorithm for determining the value of a game tree when both players follow a minimax strategy.
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