CSC 252 Pallavi Moorthy Homework 5. 1.) Vertices, edges From cd../../handout/demo/graph_alg/gw_shortest_path.

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Presentation transcript:

CSC 252 Pallavi Moorthy Homework 5

1.) Vertices, edges From cd../../handout/demo/graph_alg/gw_shortest_path

2.) Multiple edges. Loops From cd../../handout/demo/graph_alg/gw_scc

3.) Undirected Graph From cd../../handout/demo/graph_alg/gw_min_cut

4.) Directed graph (digraph) From cd../../handout/demo/graph_alg/gw_dijkstra

5.) Simple graph (a directed graph with no loops) From cd../../handout/demo/graphwin/graphwin

6a.) Examples of graphs (graphs are either directed or undirected) Left graph from: cd../../handout/demo/graph_alg/gw_min_cut Above graph from: cd../../handout/demo/graph_alg/gw_scc

Both graphs from: cd../../handout/demo/graph_alg/gw_basic_graph_algorithms 6b.) Examples of Multigraphs (Multigraphs are like undirected graphs, but they can have both multiple edges between vertices and loops

7.) Special classes of graphs: Complete (at left) and Complete Bipartite (at Right) In a complete graph, all possible edges are formed between pairs of vertices. A bipartite graph is a graph whose vertices can be divided into two classes, and edges can only be formed between the two groups. Below from cd../../handout/demo/graph_alg/gw_shortest_path Below graph from: cd../../handout/demo/graph_alg/gw_basic_graph_algorithms

13.) Path in an undirected graph (path is shown in red) From cd../../handout/demo/graph_alg/gw_min_cut

14.) Path in a directed graph (path is shown in red) From cd../../handout/demo/graph_draw/gw_tutte

15.) Hamilton Path in an Undirected graph (path is shown in red) A Hamilton path covers all of the vertices. From cd../../handout/demo/graph_alg/gw_min_cut

16.) Hamilton Path in a directed graph (path is shown in red) A Hamilton path covers all of the vertices. From cd../../handout/demo/graph_draw/gw_tutte

17.) Cycle in an Undirected graph (cycle is shown in red) Cycle: Each vertex is of degree 2, and edges are connected From cd../../handout/demo/graph_alg/gw_min_cut

18.) Cycle in a directed graph (cycle is shown in red) Cycle: Each vertex is of degree 2, and edges are connected. From cd../../handout/demo/graph_alg/gw_shortest_path

19.) Hamilton Cycle in an Undirected graph (cycle is shown in red) A Hamilton cycle covers all of the vertices. From cd../../handout/demo/graph_alg/gw_min_cut

20.) Hamilton Cycle in a directed graph (cycle is shown in red) A Hamilton cycle covers all of the vertices. From cd../../handout/demo/graph_alg/gw_shortest_path

33.) Tree (This is a binary tree, specifically) From cd../../handout/demo/geowin/gw_bintree

34.) Forest (an unconnected group of trees) From cd../../handout/demo/graph_alg/gw_minimum_spanning_tree

10.) Pallavi’s personal demo: Drawing graphs: an example for each graph layout implemented in LEDA Left: From cd../../handout/demo/graph_draw/gw_spring Middle: From cd../../handout/demo/graph_draw/gw_tutte Right: From cd../../handout/demo/graph_draw/gw_visrep