STRATFORD UNIVERSITY SOF 510 Algorithms and Data Structures Final Exam 1.Given an undirected interpret, described with the frozen(p) of vertices and the set of edges, (20 Points) Ans: A represent is a hookup (nonempty set) of vertices and edges Vertices: target have names and properties Edges: connect two vertices, rout out be labeled, can be directed Adjacent vertices: if thither is an edge among them. Example: Vertices: A,B,C,D Edges: AB, AC, BC, CD Draw the picture of the interpretical record Give an example of a channel, a impartial path, a musical rhythm A path is a list of vertices in which successive vertices are connected by edges Examples: Some paths in Graph : A B C D A C B A C D A B D C B C B A Simple path: No apex of the suns way is repeated. Examples: In Graph, D C B A is a simplex path, while D C B A C is not a simple path Cycles : A cycle is a simple path with trenchant edges, where the first vertex is equal to the last.

Examples: Cycles in Graph: C A B C, C B A C, A B C A, A C B A, B A C B, B C A B A B A is not a cycle, because the edge A B is the same as B A Determine whether the chart is connected or disconnected Connected graph: there is a path between each two vertices The preceding(prenominal) graph is connected graph Give the matrix facsimile of the graph Vertices: A,B,C,D ! Edges: AB, AC, BD, CD | |A |B |C |D | |A |0 |1 |1 |0 | |B |1 |0 |0 |1 | |C |1 |0 |0 |1 | |D |0 |1 |1 |0 | Give the contiguousness lists representation of the graph Adjacency list...If you want to get a near essay, ensnare it on our website:
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