What is the maximum number of vertices in a connected graph of 17 edges?

so number of vertices is 6.

How many vertices does a tree with 17 edges have?

17 edges means 34 edge-vertex incidences.

How many vertices are there in a graph with 16 edges if each vertex is of degree 4?

Answer and Explanation: Given that a graph g has 16 edges, two vertices of degree 4 , two of degree 1 and the remaining vertices…

How many vertices are there in a graph with 20 edges if each vertex is of degree 5?

Here comes the real problem; there’s a theorem proving that the number of vertices with odd degree in a graph is always even. However, the description of the problem provides 5 vertices with degree 5.

How many vertices does a connected graph have?

A graph with just one vertex is connected. An edgeless graph with two or more vertices is disconnected. A directed graph is called weakly connected if replacing all of its directed edges with undirected edges produces a connected (undirected) graph.

What is the maximum number of edges in a connected graph?

In a directed graph having N vertices, each vertex can connect to N-1 other vertices in the graph(Assuming, no self loop). Hence, the total number of edges can be are N(N-1). There can be as many as n(n-1)/2 edges in the graph if not multi-edge is allowed.

How many vertices in the given graph have the degree 2?

2. The graph G has 6 vertices with degrees 2,2,3,4,4,5.

How many Hamilton circuits are in a graph with 8 vertices?

5040 possible Hamiltonian circuits
A complete graph with 8 vertices would have = 5040 possible Hamiltonian circuits.

Can a simple graph exist with 15 vertices?

Therefore by Handshaking Theorem a simple graph with 15 vertices each of degree five cannot exist.

How do you find the sum of vertices?

The number of edges connected to a single vertex v is the degree of v. Thus, the sum of all the degrees of vertices in the graph equals the total number of incident pairs (v, e) we wanted to count. For the second way of counting the incident pairs, notice that each edge is attached to two vertices.

How many vertices does the graph have if it has 15 edges 3 vertices of degree 4 and the other vertices of degree 3?

So,the total number of vertices is 15 + 3 = 18. Hence,Option C is the correct answer.