STRATFORD UNIVERSITY SOF 510 Algorithms and Data Structures Final Exam 1. put upn an undirected interpret, described with the frozen of vertices and the watch of edges, (20 Points) Ans: A behave is a collection (nonempty set) of vertices and edges Vertices: butt joint have names and properties Edges: charge devil vertices, can be labeled, can be directed conterminous vertices: if there is an edge among them. fount: Vertices: A,B,C,D Edges: AB, AC, BC, CD Draw the picture of the represent Give an example of a channel, a impartial form, a cycle A path is a make of vertices in which successive vertices atomic number 18 attached by edges Examples: nigh paths in Graph : A B C D A C B A C D A B D C B C B A Simple path: No vertex is repeated. Examples: In Graph, D C B A is a unproblematic path, darn D C B A C is not a simple path Cycles : A cycle is a simple path with trenchant edges, where the source 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 graph is affiliated or disconnected Connected graph: There is a path between each two vertices The above graph is connected graph Give the matrix copy 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 bureau of the graph Adjacency list...If you want to work a near essay, parliamentary procedure it on our website: Ordercustompaper.com
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