How many vertices and edges has each of the Platonic graphs?

Q: The number of edges in a graph with 10 vertices each of degree 5 is

A: A graph G is a pair (V,E), where V is a finite set of vertices and E a finite set of edges. We can…

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: Decide whether the following statement is true of false. Prove your answer: If two graphs have the…

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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: A graph has vertices of degrees 0,2,2,3, and 9. How many edges does the graph have?

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Q: Where are the vertices?

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Q: A connected planar graph has an equal number of vertices and faces. If there are 20 edges in this…

A: A connected planar graph has an equal number of vertices and faces. If there are 20 edges in this…

Q: What is the chromatic number of each graph? 3 3 2 XXX 2

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Q: b a d

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Q: The graph G has 5 vertices with degrees 2, 3, 3, 4, 4 . How many edges does G have? edges Could G be…

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

A: A planar graph :

Q: What is the degree of each vertex of the Star of David?

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Q: Find the union of the given pair of simple graphs.

A: We need to find the union of the following graphs.     and We know that union of two simple graphs…

Q: What is the chromatic number of each graph? ▶ D →

A: Solution for graph Chromatic number: Chromatic number of the graph is the smallest number of colors…

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

A: A strongly connected component is the component of a directed graph that has a path from every…

Q: Graphs are equivalent if they have the same number of vertices and the same edge connections. The…

A: According to the given data, find the equivalent graphs.

Q: Label the vertices of the second graph so that it is equivalent to the first graph.

A: Given graphs are,

Q: In a connected planar graph drawn with no intersecting edges, if there are 3 vertices and 8 edges,…

A: We can use the Eulers formula for the planar graph to find the number of faces.

Q: Sketch the coordinate axes and then include the vectors u, v, and uxv as vectors starting from the…

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Q: Graph with four vertices of degrees 3 3 5 5

A: Graph with four vertices of degrees 3 3 5 5

Q: What is the chromatic number of each graph?

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Q: Question 4. Let K, be the complete graph on n vertices. How many edges does it have? Justify your…

A: Given that, the complete graph kn has n vertices. Number of the edges of this complete graph=nn-12

Q: Draw TWO different graphs each with 3 vertices having degrees 1, 2 and 3. Are these graphs the…

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Q: How many edges do the wheel Wn  and the complete tripartite graph Kr,s,t have?

A: The objective is to estimate the number of edges in a wheel Wn and complete tripartite graph Kr,s,t.

Q: E F Which of the graphs below is the above graph represented differently? A List the vertices…

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Q: Construct a simple graph with vertices J,K,L,MJ,K,L,M whose degrees are 1, 0, 1, 0 respectively.…

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Q: Find the union of the given pair of simple graphs.

A: Concept Used:- Union of two simple graphs G1 =(V1 ,E1 ) and G2 =(V2 ,E2 )  is a simple graph with…