A city is built on the banks of a river and some islands in the river. The map below shows the bridges connecting the various land masses. Draw a graph that models the connecting relationships in the map below. The vertices represent the land masses and the edges represent bridges connecting them. A (1) B E Is it possible to find a path through the city that uses each bridge once? If so, enter the sequence of land masses(vertices) visited, for example ABDEA. If it is not possible, enter DNE.

Q: How many edges would a connected planar graph if it has 13 vertices and 9 faces?

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Q: Is it possible for a graph with 35 vertices and 100 edges to be planar? O Yes O No

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Q: Caroline has to check the stop signs at every intersection in his hometown. She parks her car in the…

A: Given that  Caroline has to check the stop signs at every intersection in his hometown.  she parks…

Q: Sketch an undirected graph with the following vertex degrees 3,3,3,2,1 if it exists

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Q: Vertices should be named by the letters in the alphabeth : A, B, C, D, E, F, G, H and so on Edges…

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Q: A 4-partite graph is bipartite. True or False

A: False

Q: d. Add up all the indegrees, and add up all the outdegrees. What do you notice? Can you explain why…

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Q: Construct a simple graph with vertices T, U, V, W, X, Y whose degrees are 2, 2, 1, 1, 2, 2 What is…

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Q: A simple graph with many edges has a label on each edge. The current labels are "a", "b", "c", "d",…

A: We are given a simple graph with many edges that have a label on each edge. The current labels are…

Q: Suppose that we have a graph with at least two vertices. Show that it is not possible that all…

A: Suppose, we have a graph with at least two vertices.

Q: what is the fuzzy graph theory and give examples.

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Q: Vertex

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Q: Determine the sum of the in-degrees and out-degrees of each graph shown in Figure 1. Show the…

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Q: an "x" in the table below indicates a direct route between the corresponding cities. draw a graph…

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Q: hich graph appears to contain all the orderad pairs in this rolation?

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Q: Which graph has a matching?

A: We use definition of matching.

Q: represent

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Q: How many faces does the below planar graph contains?

A: A planar graph :

Q: Construct a graph with vertices R,S,T,U whose degrees are 0,0,1,1. What is the edge set?

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Q: If a graph has 8 vertices, then what is its order? Answer:

A: We have given a graph which has 8 vertices. We know that  Order of a graph is cardinality of…

Q: You have a simple graph G with three vertices and three edges. How many subgraphs can be made from…

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Q: Draw a graph that models the connecting relationships in the floorplan below. The vertices represent…

A: The graph that models the floor plan is:

Q: 1. Make a graph representation of the following little league schedule, considering the two…

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Q: n the Konigsberg bridge problem, the islands are joined to the mainland by several bridges. Are…

A: No, these bridges are not really "bridges" in the graph theory sense. Bridges are edges that, when…

Q: Construct a simple graph with vertices J, K, L, M whose degrees are 0, 2, 2, 2 What is the edge set?

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Q: 2. The map shown below illustrates parking meters in a small community. The dots indicate parking…

A: Given map:  Dotes indicate parking meters in which a parking meter person will need to check. To…

Q: Construct a simple graph with vertices V, W, X, Y whose degrees are 1, 2, 0, 1 What is the edge set?

A: Solution:

Q: Construct a simple graph with vertices H, I, J, K whose degrees are 1, 1, 0, 0 What is the edge set?

A: Simple graph: A graph that does not have more than one edge between any two vertices and no edge…

Q: Construct a graph with vertices A, B, C, D, E whose degrees are 1, 1, 1, 0, 1 What is the edge set?

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Q: The graph above shows data on the prices of used Honda Civic cars. a) What type of graph is this?…

A: Given graph