Consider graphs with 9 vertices. What is the maximum number of edges in the graphs with Eulerian trails

Q: I have a graph with 2021 vertices. It is not a tree but there exists some vertex whose removal makes…

A: We know that maximum number of possible edges is 3(n-2)

Q: Total number of edges of a complete graph which has 9 vertices is None 12 edges 36 edges 18 edges

A: To find Total number of edges of a complete graph which has n vertices.

Q: cted edge that has the sr two or more edges have ck anyone.) riving at the next vertex

A: Given as,

Q: If a simple disconnected graph has 7 vertices and 2 connected components what is the maximum number…

A: Given question is If a simple disconnected graph has 7 vertices and 2 connected components what is…

Q: Define maximum number of edges in a simple connected graph with n vertices.

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Q: number

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Q: Graph G is a complete simple graph with four vertices and six edges. How many spanning trees does it…

A: solutionGiven G is a complete simple graph with 4 verticles and 6 edges. To find how manyspanning…

Q: Construct a bipartite graph with vertices R, S, T, U, V, W that is a tree. What is the edge set?…

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Q: What is the maximum number of edges you can have in a graph with 7 vertices? Show all steps of your…

A: A simple graph does not have loops (edge from a vertex to itself). For this question, we will…

Q: What kind of graph (from Table 1) can be used to modela highway system between major cities wherea)…

A: To find- What kind of graph (from Table 1) can be used to model a highway system between major…

Q: What is the most edges a graph can have if it has p vertices and has a bridge?

A: Given: A simple graph with p-vertices.

Q: Show that any graph with two or more nodes and no self-loops contains two nodes that have equal…

A:

Q: A graph with eight vertices and seven edges is not connected. True False

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Q: show that a simple planar connected graph with 17 edges and ten vertices cannot be properly colored…

A: We can solve this using Euler theorem

Q: A graph with 4 edges, has with degree 4 , a verlex with degree ! ļ' and What is the degree of the…

A: Given, A graph with 4 edges has a vertex with degree 4, a vertex with degree 1, and one more vertex

Q: Construct a bipartite graph with vertices A, B, C, D, E, F, G that is a tree. What is the edge set?…

A: Introduction: A unique type of graph known as a bipartite graph that exhibits the following…

Q: Draw a graph with 5 vertices and 8 edges. How can you prove that it is a simple graph or…

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Q: e maximum edge count for 4 loop G graph

A: If we have a graph G with n nodes, what is the maximum number of edges in this graph if we allow…

Q: There are 8 vertices namely: A, B, C, D, E, F, G, H Make or draw a graph with 2 loops around the…

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Q: 2) What is the maximum number of edges possible for any bipartite graph between A and B?

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Q: Construct a bipartite graph with vertices I, J, K, L, M, N that is a tree. What is the edge set?…

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Q: Construct a bipartite graph with vertices T,U, V, W, X that is a tree. What is the edge set?…

A: A bipartite graph is a graph whose vertices can be divided into two disjoint and independent sets U…

Q: Draw a directed graph with as few edges as possible that is strongly-connected, has 8 vertices of…

A: Strongly connected directed 8 vertices one has in-degree 3 two have cut degree 3 rest have samller…

Q: Imagine a very large connected graph that has 400 odd vertices and no even vertices. Does an Euler…

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Q: There are _____ number of vertices in a graph 6 edges if each vertex is of degree 3.

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Q: A planar graph with 4 vertices with the same degree 5, has 8 faces Select one: True False

A: Solution

Q: Construct a graph with vertex connectivity 3, edge connectivity 4 and minimum degree 5.

A: It feels like graph isomorphic problem or something related to it. However, I can't prove it. I…

Q: A connected graph has 40 even vertices and no odd vertices. Determine whether the graph has an Euler…

A: A connected graph has 40 even vertices and no odd vertices. according to the Euler theorem of the…

Q: Select all graphs that have Euler paths.

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Q: Draw all nonisomorphic simple graphs with four vertices and no more than two edges.

A: Given: The objective is to draw all the nonisomorphic simple graphs with the four vertices and no…

Q: Does a 3 regular graph on 14 vertices exist what can you say on 17 vertices

A: graph  problem

Q: Construct a bipartite graph with vertices R, S, T,U, V,W, X that is a tree. What is the edge set?…

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Q: The maximum number of edges in a bipartite graph on 15 vertices is ____.

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Q: 1. What's the max number of edges you can put on 6 vertices without creating any triangles?

A: In graph theory, a tree is a connected acyclic undirected graph. Tree with n vertices has n-1 edges

Q: Let G be a directed graph with 10 vertices. Let a and b be vertices that are connected by at least…

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Q: How many non-isomorphic simple graphs edges? are there with four vertices and 3

A: Detailed explanation mentioned below

Q: Find the number of vertices, the number of edges and the degree of each vertex in the given…

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Q: Sketch a simple graph with 8 vertices which contains a circuit of length 4 and 2 components.…

A: To sketch a graph of 8 vertices which contains a circuit of length 4 and 2 components: First name 8…

Q: Can a simple graph exist with 15 vertices each of degreefive?

A: Given problem "Can a simple graph exist with 15 vertices each of degree five?"

Q: Prove that the sum of the degrees of the vertices of any finite graph is even.

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Q: Construct a 3-regular graph with 10 vertices. Is it possible to have a 3-regular graph with 15…

A: 3-Regular graph with 10 vertices

Q: draw all nonisomorphic simple graphs with four vertices and no more than two edges

A: Given: Four vertices and two edges. To sketch: All non-isomorphic simple graphs no more than two…

Q: What is the minimum number of connected components in the graphs with 18 vertices and 9 edges?

A: If a graph has n vertices and k edges , then the minimum number of connected components in the graph…

Q: How many possible graphs can be created on 5 distinct vertices?

A: Consider a graph of n vertices.The line connecting any two vertices of a graph is called as an edge…

Q: A graph contains 45 vertices. If two vertices have the same degree, they are not connected by an…

A: The graph has 45 vetices and it has two vertices of same degreebut they arre not connected by an…

Q: What is the minimum number of colors you need to color the vertices of this graph such that if two…

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Q: Explain and draw why graphs with the given specifications do not exist. a) Tree, nine vertices, nine…

A: Since you have posted multiple questions, we answered the first question for you. If you want any…

Q: How many shortest lattice paths start at (4,4) and end at (13,13)?

A: We can calculate the shortest path of lattice by method of  combination

Q: What is the number of edges in a tree with 13 vertices?

A: given          there are 13 vertices in a tree          and we have to find numbers of edges in a…