How many edges does a full 3-ary tree with 6000 internal vertices have?

Q: Why does a complete graph with n = 6 nodes have m = 15 edges? A tree connecting 6 nodes has __…

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Q: Please help me with these questions. I am having trouble understanding what to do. Please show all…

A: Isomorphic graphs: Isomorphic graphs are graphs that have the same structure, meaning they have the…

Q: In a tree with 32 vertices, what is the sum of degrees?

A: Vertex is where two or more edges meet . The degree of a vertex is the number of edges originating…

Q: in fuzzy graph What is the fuzzy trees ? And give an examples

A: We have to define fuzzy tree with example.

Q: Recall the complete bipartite graph K_(m,n).. Draw K_5,3 Determine the number of vertices in…

A: Given: Complete bipartite graph of km,n

Q: What does Kruskal's algorithm look for in a connected graph? What does it look for in a weighted…

A: Given: Kruskal's algorithm To find: 1. What does Kruskal's algorithm look for in a connected graph?…

Q: How many non-isomorphic simple graphspre there with 11 vertices, 18 edges, minimum degree 3, maximum…

A: Given, Number of vertices V = 11 Number of edges E = 18 Minimum degree = 3 Maximum degree = 6 Number…

Q: An full 5-ary tree with 7 internal vertices will have ________ leaves and _______ vertices.

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Q: Show the results of inserting the keys C, R, A, U,J,S, F,T,0,P,M,L,N,W,Q in order into an empty…

A: Given: V={1,2,3,4,5,6,7,8,9}. and edges E(V)={e1=(1,3),e2=(2,4),e3=3,6 ,e4=7,8,…

Q: How many different spanning trees does the graph C₁2 have? Count different trees as different even…

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Q: How many edges does a tree on 9 vertices have?

A: A tree with n vertices has n-1 edges.

Q: Can a tree with nine verices and nine edges? Explain why no such graph exists or draw the graph if…

A: No, The graph of a tree with nine vertices and nine edges doesn't exist. Since, we know that a tree…

Q: Question8. Find a spanning tree of minimum weight for the graph weighted G.

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Q: Show a Hesse diagram with 5 nodes {1, 2, 3, 4, 5} and 4 edges that has exactly three topological…

A: Given nodes are 1,2,3,4,5 with 4 edges. We know that a topological sorting for a directed acyclic…

Q: How many graphs are there on 5 nodes in which every node has degree at most 2?

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Q: Draw 3 possible spanning tree of this graph.

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Q: Draw all possible 5-vertex trees with maximum degree 3.

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Q: Compute the betweenness centrality of all four vertices

A: Betweenness centrality measures the extent to which a vertex lies on paths between other vertices.…

Q: 13 How many vertices does a full 5-ary tree with 98 internal vertices have?

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Q: How many edges are there in a spanning tree for a complete graph with 64 vertices? The graph has…

A: We determine the number of edges in a spanning tree for a complete graph with 64 vertices.

Q: What is the largest number of edges possible in a graph with 9 vertices? edges. What is the largest…

A: The maximum  possible number of edges in a graph with n vertices is given by nn-12  The maximum…

Q: What is the number of isomorphism classes of graphs with 6 vertices and 3 edges

A: It is known that sum of degree in a graph must be even because sum of degrees is  twice the edges.…

Q: Let G be a tree with n vertices. Find a formula for the total number of paths G and justify why it…

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Q: I am also struggling with drawing a spanning tree using the breadth-first search when the following…

A: Given: The graph, To find: Spanning tree using the breadth-first search from the root vertex A.

Q: Find the shortest path from vertex ‘a’ to ‘z’ by Dijkstra’s algorithm for the weighted graph

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Q: Find the number of unlabeled trees on 6 nodes.  

A: We have 6 nodes.

Q: How many edges does a tree with 10,000 vertices have? Multiple Choice O 10,002 9998 10,001

A: We have to find the number of edges of a tree with 10,000 vertices.

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

A: Detailed explanation mentioned below

Q: c) A 3-ary tree of height 3 with exactly 19 leaf vertices.

A: To construct a 3-ary tree of height 3 with exactly 19 leaf vertices, we can follow these steps:

Q: 14. How many leaves does a full binary tree with 400 edges have?

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Q: Explain the step by step procedure of Dijktra’s algorithm to find the shortest path between any two…

A: We use Dijkstra's Algorithm to find the shortest path between a given node (which is called the…

Q: G is a forest with 100 vertices and 87 edges. How many additional edges should be added to make G a…

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