3. A graph G has 15 vertices and 34 edges. Five vertices have degree 7, four vertices have degree 6, three vertices have degree 3, and the remaining vertices all have the same degree. What is the degree of each of the remaining vertices?

Discrete math question:

Read all directions before answering a question. This assignment is conceptual in nature so no work is needed BUT be sure to be clear and state all answers in complete sentences where needed. Write answers on this sheet. 1) Determine how many vertices and edges the graph has and the degree of each vertex. State the degree next to the vertex OR state the vertex label letter and the degree in the space to the right of the graph. A B E с D # of vertices = # of edges =

1) Definitions. The graph below shows 5 cities. The weights on the edges represent the airfare for a one-way flight between the cities. a. How many vertices and edges does the graph have? b. Is the graph connected? c. What is the degree of the vertex representing LA? d. If you fly from Seattle to Dallas to Atlanta, is that a path or a circuit? And what is its cost? e. If you fly from LA to Chicago to Dallas to LA, is that a path or a circuit? And what is its cost? f. Is the graph a complete graph? If so, how many Hamiltonian circuits does it have? Seattle LA $100 $70 $150- $145 Chicago $170 $75 $120 $140 $165 $85 Atlanta Dallas

Someone is thinking of a connected graph in the plane. It is made of 36 edges and cuts theplane into 18 regions.  How many vertices are there?