# The algorithms must be written for the

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The algorithms must be written for the responsibilities Knowledge responsibilities usually just return the contents of one of an object’s variables Action responsibilities are a little more complicated, often involving calculations Design and Analysis of Algorithm 15
16 Trace the algorithm on the input given.
17
18 A path in a multigraph that traverses all the edges exactly once and returns to a starting vertex. Such paths are called Eulerian circuits ; if a path traverses all the edges exactly once but does not return to its starting vertex, it is called an Eulerian path .
Euler proved that an Eulerian circuit exists in a connected (multi)graph if and only if all its vertices have even degrees, where the degree of a vertex is defined as the number of edges for which it is an endpoint. Eulerian path exists in a connected (multi)graph if and only if it has exactly two vertices of odd degrees; such a path must start at one of those two vertices and end at the other. 19
Fundamental Data Structures Linear Data Structures Graphs Trees Sets and Dictionaries 20
Linear Data Structures 21
Assume you have a single linked list with a forward pointer at each node as shown in the following diagram. Assume you are given a pointer of a node somewhere in the liked list as shown in the figure. How one can implement the delete p th node operations in such a way that the time it takes does not depend on the array’s size n or it does not depend where p is in the list. 22 p
Graphs 23
Weighted Graphs Paths & Cycles Graph Traversal 24
Trees 25
Rooted Trees 26
Sets & Dictionary 27
Solve Exercise 1.4 28 Assignment # 3

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