4. Consider the following graph. ez es a. How many paths are there from v to vy? b. How many trails are there from u to v̟? c. How many walks are there from v to va?

Q: For parts (a) and (b), indicate if cach of the two graphs are equal. Justify your aner. a b abde d e…

A: a) Given graph in (a). Plotting the other graph using the given data: Checking if the 2 graphs are…

Q: Which of the following is an Euler circuit of the given graph below? D Be E А. A->E>B->D->E>C->D->A…

A: Given:

Q: Given two graphs, graph (1) and graph (2), as follows: a) Do the two graphs have Hamilton circuits?…

A: a.  Yes, a Hamilton circuit is possible. All the vertices are covered once and the start/end vertex…

Q: 5. B D Refer to the above graph and choose the best answer: A. Euler path and Euler circuit B. Euler…

A:

Q: Consider the following graph. (b) How many trails are there from a to c? (c) How many walks are…

A: Given graph is

Q: For each of the following variables, indicate whether they are categorical or numerical. Also, write…

A: Categorical data is the data that is descriptive, cannot be recorded numerically and hence can only…

Q: 26. How many edges are there in a graph with 10 vertices each of degree six? (a) 10 (b) 20 (c) 30…

A: We need to determine the number of edges in a graph that has 10 vertices each of degrees 6. We will…

Q: Find an Euler path for the following graph by labeling the edges 1, 2, 3, and so on in the order in…

A: Given graph, The Euler path is path in a finite graph that visits every edge exactly once. The…

Q: How many edges has each of the following graphs: (i) K10; (ii) K5,7 ; (iii) Q4: (iv) Wg; (v) the…

A:

Q: Find the length of the dashed zig-zag path in the following figure. X1 0.75- 0.5+ 0.25+ 0 0.25 0.5…

A: Consider the following figure. We have to dins the length of the given dashed zig-zag path.

Q: 8. Please find the vertex and edge sets of the following graph Vy ez ez

A:

Q: Draw the acquaintanceship graph that represents thatTom and Patricia, Tom and Hope, Tom and Sandy,…

A: Acquaintanceship graph: It is a model used to represent the relationship among people. We use a…

Q: 5. Prove or disprove: Let l', and I; be two simple graphs; with V(T)| = m, E(T)=p.V(T)| =n, E(T2)| =…

A:

Q: For what values of t in 10, 602 does the graph of y = c1t2 as shown have a discontinuity?

A: From the given Figure, it is easy to observe that the graph is discontinuous at 0, 15, 30 and 45.

Q: The number of edges for a complete graph K6 is O 20 O 30 O 15 O 10

A:

Q: Which of the following in the below graph is a path of length 4? O c, b, d, a O a, e, a, d, b, c, a…

A: We have to find the graph is a path of length of 4

Q: Consider the following graph: e3 es a. How many paths are there from vl to v4? b. How many trails…

A: 1. Walk : A walk is a sequence of vertices and edges of a graph i.e. if we traverse a graph then we…

Q: Consider the graph below. A C H D.

A:

Q: Which of the following graphs have Euler circuits or Euler trails? K K I I N N P |B: Has Euler…

A:

Q: Choose the true statement for the following graph. A E O a. The graph has an Euler circuit. O b. The…

A:

Q: Consider the tree diagram. Path number 0.4 D 1 0.6 2 0.5 D 3 4 A2. 0.5 D 4 2 0.7 D A3 0.3 D…

A: The tree diagram is given.

Q: Based on the graph below, what type of edges are eg and e,? e3 es eg e10 b. e12 e6 es e7 S a…

A:

Q: O Let G be a such that graph with 10 verti ces 8CG) = ACG) = 2 How many edges does G have?

A:

Q: Consider the graph with the vertex set y (G, H,0,S,T} and the edge set E= {GH,GS,GT, HO,OT, ST).…

A: First we draw the graph from given vertex set and edge set.  Definition : In a graph, two edges are…

Q: Consider the following graph, which represents the one-way airfare between five cities.   A B C D…

A: 1.Given that, A, B, C, D and E are vertices to denote the cities and weights on appropriate edges to…

Q: Consider the following graphs over the vertices {a, b, c, d, e, f}. Which of them contain Euler…

A: Given- Consider the following graphs over the vertices a, b, c, d, e, f To find- Which of them…

Q: Consider the following graph: V2 V, ei ez Vz es es es Vs Vy 1. Please give a walk from vị to v4 that…

A:

Q: . Fimol Ile Madius of ion ver qene fA IM the regemd Lou Veu graph imvagente. Powu seues and bebutod…

A:

Q: (a) which edges are incident on v,? (b) Which vertices are adjacent to v,? (c) which edges are…

A: Given: The graph

Q: För éach graph, elco bn b. a. wok daimnyton

A: Note- Since you have asked multiple question, we will solve the first question for you. If you want…

Q: 10) Determine if the graph contains a Hamilton path or circuit. If so, write the path or circuit. F…

A: This is a problem of Graph Theory.

Q: QUESTION 3 How many edges would a complete graph have if it had 6 vertices? О 25 30 O 20 O 15

A:

Q: Find a path in the following graph that is both a Hamilton path and Euler path. If no such path…

A: A graph has an Euler path if we can find a path in the graph which visits each edge only once and it…

Q: Which of the following graphs contain an Euler path? Which of the following graphs contain an Euler…

A: Euler path: An Euler path is a path that uses every edge in a graph with no repeats. Being a path,…

Q: Fig.3 Fig.4 Fig.5 vs Fig.6 Fig.7 1. Find the number of vertices and the number of edges of the graph…

A: We will us figure 5 to calculate the number of vertices and number of edges in the given graph.

Q: Represent the following with a graph. MT WY NV UT co AZ NM MT ww NV co HM

A: We will construct a graph using the given diagram with the vertices as given regions.

Q: Represent the following with a graph. MT ID WY NV UT có AZ NM

A: The representation of the graph is

Q: Based on the graph below, what type of edges are e12 and e,? ez ez sa ea e10 eg e1 b. e12 e6 es e7 a…

A:

Q: 8. Consider the following graph. a) How many paths are there from vl to v4? b) How many trails are…

A: Consider the given information. (a) We have to find the number of paths from v1 to v4. In the given…

Q: Refer to the weighted graph attached, and answer the following: 1. The graph has an Euler path. 2.…

A: An Euler path is a path that uses every edge of a graph exactly onceAn undirected graph has Eulerian…

Q: In order to eulerize the graph below, give the fewest number of edges that need to be duplicated. a…

A: Label the vertices of the given graph. Next we use the process of eulerization of the graph by…

Q: To draw a graph for y = 3/4x + 7, a person can draw a point at x of 0 and y of ___, a second point…

A: We have to fill in the blanks by finding values of x and y.

Q: Construct a graph with vertices U,V,W,X,Y that has an Euler path, the degree of U is 1 and the…

A: We Know that  An Euler path is a path that uses every edge of a graph exactly once.   We have to…

Q: For which values of n does the graph Wn have an Euler circui

A: In the given question we have to find the value of n for which the graph Wn have an Euler circuit.…

Q: The following graph has a Hamilton circuit: 2 13 7 9. 11 10 14 13 12 15 17 16 O True False 00

A:

Q: Which of the following graphs has an Euler circuit? II Oa lonly Ob Il only O C. land II O d. Il and…

A:

Q: Which of the following graphs have Euler circuits or Euler path? G F E K D R K A: Has Euler trail.…

A: Definition:- Let G is connected graph then (a) G contain Euler trail if and only if G contain…

Q: give 5 graphs with a bond: with I edge 2 edge 3 edğe 4 edge 5 edge

A: To draw the graph with 1 edge, 2edges , 3 edges, 4 edges, 5 edges

Q: 1 Answer the following questions about the graph below. 5 a) What is an Euler circuit? b) Does the…

A:

Q: Which of the following graphs are not trees? M'VA b d

A: