Can edge list E be omitted from the adjacency matrix representation while still achieving the time bounds
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Can edge list E be omitted from the adjacency matrix representation while still achieving the time bounds given in Table 14.1? Why or why not?
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Edge List | Adj. List O(1) 0(1) O(n) O(m) O(m) O(m) Adj. Matrix 0(1) 0(1) O(n) O(m) O(1) O(n) Method Adj. Map O(1) O(1) O(n) O(m) 0(1) exp. O(1) numVertices() numEdges() vertices() edges() getEdge(u, v) outDegree(v) inDegree(v) outgoingEdges(v) | 0(m) incomingEdges(v) insertVertex(x) removeVertex(v) insertEdge(u, v, x) | 0(1) removeEdge(e) O(1) 0(1) O(n) O(m) O(min(dµ,d,)) O(1) O(dv) O(n) (^p)O 0(1) O(m) O(n²) O(n2) 0(1) (*p)O 0(1) 0(1) O(1) ("p)0 0(1) exp. 0(1) еxp. (1)0 O(1) O(1)
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Related Book For
Data Structures and Algorithms in Java
ISBN: 978-1118771334
6th edition
Authors: Michael T. Goodrich, Roberto Tamassia, Michael H. Goldwasser
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