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How many edges are there in a graph with 7 vertices each with degree 2?
Wiki User
∙ 9y ago
There are 7 edges.
Wiki User
∙ 9y ago
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How many vertices and edges does a hexagon have?
6 of each.
How many faces vertices and edges does a pentahedron have?
In geometry, a pentahedron is a polyhedron with five faces. That can either be a square pyramid with 5 vertices, 8 edges and 5 faces or a triangular prism with 6 vertices, 9 edges and 5 faces.
What are the parts of a square?
The parts of a square are the vertices or corners and the edges. There are four of each.
How is a Planar graph used is graph theory?
In graph theory, a planar graph is a graph that can be embedded in the plane, i.e., it can be drawn on the plane in such a way that its edges intersect only at their endpoints. In other words, it can be drawn in such a way that no edges cross each other.
How many edges on a 3d triangular prism?
A triangular prism has nine edges, three edges that are parallel to each other on the top and bottom of the prism, and three surrounding edges. It also has five faces and six vertices.
What is the largest number of vertices in a graph with 35 edges if all vertices are?
36 vertices if all of them are or order two except one at each end.
A simple graph with n vertices and k components can have atmost how many edges?
In a connected component of a graph with Mi vertices, the maximum number of edges is MiC2 or Mi(Mi-1)/2. So if we have k components and each component has Mi vertices then the maximum number of edges for the graph is M1C2+M2C2+...+MKC2. Of course the sum of Mi as i goes from 1 to k must be n since the sum of the vertices in each component is the sum of all the vertices in the graph which you gave as n. Where MC2 means choose 2 from M and there are M(M-1)/2 ways to do that.
What is the definition of circuit in math?
Circuit is a term often used in graph theory. Here is how it is defined: A simple circuit on n vertices, Cn is a connected graph with n vertices x1, x2,..., xn, each of which has degree 2, with xi adjacent to xi+1 for i=1,2,...,n-1 and xn adjacent to x1. Simple means no loops or multiple edges.
What is dense graph and sparse graph?
Sparse vs. Dense GraphsInformally, a graph with relatively few edges is sparse, and a graph with many edges is dense. The following definition defines precisely what we mean when we say that a graph ``has relatively few edges'': Definition (Sparse Graph) A sparse graph is a graph in which .For example, consider a graph with n nodes. Suppose that the out-degree of each vertex in G is some fixed constant k. Graph G is a sparse graph because .A graph that is not sparse is said to be dense:Definition (Dense Graph) A dense graph is a graph in which .For example, consider a graph with n nodes. Suppose that the out-degree of each vertex in G is some fraction fof n, . E.g., if n=16 and f=0.25, the out-degree of each node is 4. Graph G is a dense graph because .
Cube route of 90?
Each one of a cube's vertices has a valency of 3. The graph of its edges is therefore non-Eulerian and so it is not possible to have a cube route.
How many vertices and edges does a hexagon have?
6 of each.
How many vertices and edges does a rhombus have?
4 each
How many faces vertices and edges does a hexagonal prism have?
faces= 10 vertices-=26 edges=17 * * * * * Wrong on each count! Faces: 8 Edges: 18 Vertices: 12
How many faces edges and vertices does 2 cubes have?
Each cube has 6 faces, 12 edges and 8 vertices, so two [unconnected] cubes have 12 faces, 24 edges and 16 vertices (between them).
How many vertices faces edges does a pentahedron have?
A pentahedron is a closed 3-dimensional shape with five faces, each of which is a polygon.It can have 5 vertices and 8 edges (quadrilateral based pyramid) or 6 vertices and 9 edges (triangular prismoid).
How many faces vertices and edges does a hexagon have?
Pretty simple really: Vertices are corners and edges are boundaries so, a hexagon has six of each.
How many edges must a simple graph with n vertices have in order to guarantee that it is connected?
The non-connected graph on n vertices with the most edges is a complete graph on n-1 vertices and one isolated vertex. So you must have one more than (n-1)n/2 edges to guarantee connectedness. It is easy to see that the extremal graph must be the union of two disjoint cliques (complete graphs). (Proof:In a non-connected graph with parts that are not cliques, add edges to each part until all are cliques. You will not have changed the number of parts. If there are more than two disjoint cliques, you can join cliques [add all edges between them] until there are only two.) It is straightforward to create a quadratic expression for the number of edges in two disjoint cliques (say k vertices in one clique, n-k in the other). Basic algebra will show that the maximum occurs when k=1 or n-1. (We're not allowing values outside that range.)
