1. For each graph below determine whether or not they contain an Eulerian circuit, an Eulerian trail, or neither. Justify your answers (you do not need to find the circuits or trails). O (a) (b) (d)

Q: (a) (b) 5 1 a f d m 5 b h k h 2 3 Determine which of the graph have Euler circuit, Euler trail,…

A: Given: Graphs To determine: Which of the graph will have Euler circuit, Euler trail and Hamiltonian…

Q: Graph. f(x)= 3, for xs-2 |x²₁ for x>-2 Choose the correct graph. O A. A Q C OB. Q Q OC. N Q Q ✔ O D.…

A: To graph the following function.

Q: FIND THE EQUATION OF THOE QUANTRATIC FUNCTTOU WHOS GRAPH is SHOWN BELOW f G) = I %3D -4 2468 1or4 -2…

A: The graph of any quadratic function is a parabola. The quadratic equation, y=ax2+bx+c, in its vertex…

Q: Graph the preimage and image of AABC with A(-4,3), B(-2,2), and C(-3,-3). Reflect it about the…

A: The given points of triangle ABC are as  A= (-4,3) B= (-2,2) C= (-3,-3)

Q: Write down a path in the following graph from v₁ to v7 that uses exactly seven edges. 5 V1 V2 d f a…

A: we have given a graph with edges and its points given as follows:

Q: Find the shortest path in the graph K, from f to c. 1 5 d K1 The shortest path in the graph from f…

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Q: Complete the statements for the behavior indicated by the arrow in graph below. As x→ y→

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Q: 4. Find the formula for the graph shown: 1 (-7,3) f(0)

A: Let the given curve is cosine curve ,     From observation we can taking functionThe graph is

Q: Find a Hamilton circuit for each graph below. Graphs K1 d K2 K3 Hamilton circuit for K: • Hamilton…

A: A Hamilton circuit is a path which visits every vertex exactly once and starting and end at the same…

Q: 5. Find the number of connected components in the following graphs. (a) V(G) = Z. Edges: m and n are…

A: Given Data: (a) V(G)=Z  |mn|= 5  (b) V(G)=Z  |m-n|= 15 or |m-n|= 6 (c) V(G)=ZxZ  (|a-c|= 4…

Q: Draw the dual to S4.

A: As per the question we are given a planner graph S4 and w have to draw its dual graph.

Q: Find a Hamilton circuit for each graph below. Graphs b K1 d K2 K3 • Hamilton circuit for K¡: •…

A: A Hamiltonian circuit for a graph is a circuit that visits each vertex only once and starts and…

Q: What are the strongly connected components of the digraph below? Your answer should consist of a…

A: A graph is said to be strongly connected if every vertex is reachable from every other vertex. The…

Q: Find an equation for this graph (note that it goes through the points (1,1) and (5, 11)):

A: We have to find the equation of the graph.

Q: 3. Write down the neighborhood of {X, y3} in the graph given below. X2 yi X6 y2 y6 y3 V5 y4 X5 X4

A: Solution :-

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: V8 00000 V7 B. 02 C. V3 5 D. VA E. 05 V6 3. Let S = {₂}. Which of the following vertices are in…

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Q: 0000 Which of the following vertices are adjacent to vertex v4? A. V1 B. V2 C. V3 D. V4 E. V5 F. 06…

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Q: 4. Find the solution set for the equations and sketch the graph. (3x - y =-2) l2x² – 7 = 0S

A: The general form of the equation of the line is given by y=mx+b, where m is the slope and b is the y…

Q: Which graph best represents the solution set of y s-4x?

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Q: G A C [1] E D F Determine whether each of the following statements about the graph is true or false.…

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Q: (b) 7 8. 4 6

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Q: Which of the following graphs have Euler circuits? K R DA: Has Euler circuit. OB: Has Euler circuit.…

A: We will find out the required graph.

Q: best

A: For a Euler Circuit, all vertices must have even degrees. For a Euler path, either 0 or 2 odd degree…

Q: V₁ 0€ K4 Write your response below: a V₂

A: Explain why it is a Hamilton path or Hamiltonian

Q: Find an Euler circuit for each graph below. Graphs K2 K1 K3 Euler circuit for K: Euler circuit for…

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Q: b a d e g

A: To find the circuits with in the graph

Q: What is the value of w(2,5)? type your answer... What is the value of 8 (4,3) type your answer...…

A: note : Since you have posted question with multiple sub parts, we will provide the solution only to…

Q: Consider the tree diagram. Path number 1 B1 C2 2 1 1 3 B2 3 C2 1 5 4 3. B3 C2 C3 7 Find P(C,|B2) ·…

A: Introduction: Suppose X and Y are two events, with respective probabilities P (X) and P (Y). Denote…

Q: 2. Find the shortest path in the graph K2 fromfto c. 3 а f 9. 4 d The shortest path in the graph…

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Q: Which of the following is a loop? F C E D BF CC BC C

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Q: choose 2

A: Note that a graph has an Euler circuit if and only if the graph is connected and every vertices has…

Q: Which edges shown on the graph to the right are not included in the following path? F. F. D. C, B, A…

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Q: Graphs b. K1 K2 K3 Hamilton circuit for K: Hamilton circuit for K2: Hamilton circuit for K3: ..

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Q: V₁ V₂ 0€ K5 Write your response below:

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Q: Which of the following graphs have Euler circuits? H G. I H F J K DA: Has Euler circuit. B: Has…

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Q: Find an Euler circuit for each graph below. Graphs b K2 K1 K3 d Euler circuit for K¡: • Euler…

A: Euler circuit is a path which visits every edge of the graph exactly once and starts and end at the…

Q: Which are walks in the graph? If not, why not? (a) F→ DC (b) AB-G (c) D E F C (d) DB→ F→D →B (e) C B…

A: Walk: It is defined as a sequence of vertices and edges of the graph.Vertices and edges can be…