Which of the following is correct? O a. An undirected graph contains edges. Ob. None of the other answers O. An undirected graph contains both arcs and edges. O d. An undirected graph contains arcs.
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- Consider the graph depicted below. Answer the following questions: What is the degree of vertex a? What is the sum of degrees of all vertices? Who are the neighbors of vertex f? [Please, give the list in alphabetical order, separating letters with only a comma. Do not insert blank spaces] How many zeros does the adjacency matrix of the graph above contain? What is the value on row g and column d of the adjacency matrix?URGENT!!! PLS HELP { int source, // DON'T EDIT THIS LINE destination, // DON'T EDIT THIS LINE weight; // DON'T EDIT THIS LINE}EDGE; // DON'T EDIT THIS LINEtypedef struct{ int num_vertices, // DON'T EDIT THIS LINE num_edges; // DON'T EDIT THIS LINE EDGE *edges; // DON'T EDIT THIS LINE}GRAPH; // DON'T EDIT THIS LINEGRAPH *init_graph(int vertices, int edges); // DON'T EDIT THIS LINEvoid fill_graph(GRAPH *graph); // DON'T EDIT THIS LINE int is_cycle(/*DON'T FORGET TO EDIT THIS LINE*/);void Kruskals_MST(GRAPH *graph); // DON'T EDIT THIS LINE int main() { GRAPH *graph = init_graph(10, 14); // DON'T EDIT THIS LINE fill_graph(graph); // DON'T EDIT…Wouldyou use the adjacency list structure or the adjacency matrix Strijc each of the following cases? Justify your choice. a. The graph has 10,000 vertices and 20,000 edges, and it is importan as little space as possible. b; The graph has 10,000 vertices and 20,000,000 edges, and it is impo use as little space as possible. c. You need to answer the query arëAdjacent as fast as possible, no how much space you use.
- Find a large weighted graph on the web—perhaps a mapwith distances, telephone connections with costs, or an airline rate schedule. Write aprogram RandomRealGraph that builds a graph by choosing V vertices at random andE edges at random from the subgraph induced by those verticeFind a huge weighted graph on the internet, such as a map with distances, phone connections with charges, or an airline rate schedule. Create a programme called RandomRealGraph that generates a graph by selecting V vertices and E edges at random from the subgraph caused by those vertices.Which of the following graphs are trees? 1. A graph G with V(G)={a,b,c,d,e} and E(G)={{a,b},{a,c},{d,e}} 2. A graph G with V(G)={a,b,c,d,e} and E(G)={{a,b},{a,c},{a,d},{a,e}} 3. A graph G with V(G)={a,b,c,d,e} and E(G)={{a,b},{a,c},{b,c},{c,d},{d,e}} 4. A graph G with V(G)={a,b,c,d,e} and E(G)={{a,b},{a,e},{b,c},{c,d},{d,e}}
- Which of the following is referred to as a graph where each of the vertices is connected by an edge to all other vertices of a graph?A. Complete GraphB. Connected GraphC. Regular GraphD. Simple GraphUsing the list of random numbers, in the order they were generated [5, 7, 7, 2, 5, 8, 6, 2, 3, 4], complete the following tasks and questions. Draw an undirected graph using the list of random numbers, in the order they are generated. How many vertices does your undirected graph have? How many edges does undirected graph have? Give the degree of each vertex. You may find this by hand or use the application's "Degree" command. Draw a directed graph using the list of random numbers, in the order they were generated. (You may find the "Trail" command to be helpful for this task). How many vertices does your directed graph have? How many edges does your directed graph have? Give the indegree of each vertex. You may find this by hand or use the application's "InDegree" command. Give the outdegree of each vertex. You may find this by hand or use the application's "OutDegree" command. Is your directed graph a circuit? Why or why not?> ts.plot(retr_sadj) (it is works) > ts.plot(retr_sadj, retr) (iy gives a error) Error in .cbind.ts(list(...), .makeNamesTs(...), dframe = dframe, union = TRUE) : no time series supplied PLEASE HELP ME. HOW CAN I DRAW THESE TWO THINGS ON THE SAME GRAPH? I want to prepare a combined ts plot for "retr_sadj" and "retr", but Rstudio gives an error.
- Modify Cycle so that it works even if the graph contains self-loops and paralleledges.% java DegreesOfSeparationDFS movies.txtSource: Bacon, KevinQuery: Kidman, Nicole Bacon, Kevin Mystic River (2003) O’Hara, Jenny Matchstick Men (2003) Grant, Beth ... [123 movies ] (!) Law, Jude Sky Captain... (2004) Jolie, Angelina Playing by Heart (1998) Anderson, Gillian (I) Cock and Bull Story, A (2005) Henderson, Shirley (I) 24 Hour Party People (2002) Eccleston, Christopher Gone in Sixty Seconds (2000) Balahoutis, Alexandra Days of Thunder (1990) Kidman, NicoleThis assignment requires the extension of your graph code to apply it to movement through a “world”. The world will be a weighted, directed graph, with nodes for the start position and target(s), and other nodes containing blocks, diversions, boosts and portals. For example, in a cat world, a dog may block you, toys may take your attention, food may give you more energy and portals may prove that cats are pan-dimensional beings. This structure could also be used to implement Snakes and Ladders, or other games. Your task is to build a representation of the world and explore the possible routes through the world and rank them. Sample input files will be available – with various scenarios in a cat world. Your program should be called gameofcatz.py/java, and have three starting options: * No command line arguments : provides usage information * "-i" : interactive testing environment * "-s" : simulation mode (usage: gameofcatz –s infile savefile) When the program starts in interactive mode,…a. Which of the following is the longest path in the graph? b. What is the longest cycle in the graph? c. True or false: there is a path between any pair of vertices of the graph.