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### conrev

Course: MATH 445, Fall 2009
School: Sveriges...
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Review See Connectivity sections 4.1,4.2 in West Connectivity: A graph G is connected if there is a walk from u to v for every u, v V (G). Otherwise it is disconnected. A separating set or vertex cut of a connected graph G is a set of vertices S so that G - S is not connected. A cut-vertex is a vertex x so that {x} is a vertex cut. A graph G is k-connected if G - S is a connected graph with 2 vertices for every...

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Review See Connectivity sections 4.1,4.2 in West Connectivity: A graph G is connected if there is a walk from u to v for every u, v V (G). Otherwise it is disconnected. A separating set or vertex cut of a connected graph G is a set of vertices S so that G - S is not connected. A cut-vertex is a vertex x so that {x} is a vertex cut. A graph G is k-connected if G - S is a connected graph with 2 vertices for every S V (G) with |S| < k. The connectivity of G, denoted (G) is the largest k such that G is k-connected. Edge Connectivity: If S, T V (G), we let [S, T ] denote the set of edges of G with one end in S and the other in T . A set of edges of the form [S, V (G) \ S] where S V (G) is called an edge cut. A graph G is k-edge connected if every edge cut has size k. The edge connectivity of G, denoted (G), is the size of the smallest edge cut in G. Component: A maximal connected subgraph of a graph G (so G is connected if and only if it has one component). Block: A maximal connected subgraph having no cut-vertex (so a graph is a block if and only if it is either 2-connected equal or to K1 or K2 ). The block-cutpoint graph of G is a graph H where V (H) consists of all cut-vertices of G and all blocks of G, with a cut-vertex x adjacent to a block G if x is a vertex of G . The block-cutpoint graph is always a forest. Theorem 1 (Menger) Let x, y be vertices of the graph G. The minimum size of an edge cut which separates x from y is equal to the maximum number of pairwise edge disjoint paths from x to y. Theorem 2 (Menger) Let x, y be vertices of G and assume that xy is not an edge. Then the minimum size of a vertex cut which separates x from y is equal to the maximum number of pairwise internally disjoint paths fro...

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Sveriges lantbruksuniversitet - MATH - 445
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Sveriges lantbruksuniversitet - MATH - 408
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Sveriges lantbruksuniversitet - MATH - 100
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Sveriges lantbruksuniversitet - MATH - 100
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Sveriges lantbruksuniversitet - MATH - 100
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Sveriges lantbruksuniversitet - MATH - 100
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Sveriges lantbruksuniversitet - MATH - 100
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NormalizationAnomalies Boyce-Codd Normal Form 3rd Normal Form1AnomaliesGoal of relational schema design is to avoid anomalies and redundancy. Update anomaly : one occurrence of a fact is changed, but not all occurrences. Deletion anomaly : val
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N.C. State - CSC - 440
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Sveriges lantbruksuniversitet - MATH - 202
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Sveriges lantbruksuniversitet - MATH - 445
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N.C. State - ST - 731
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N.C. State - ST - 790
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N.C. State - CH - 331
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