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How long does it take to compute the out-degree of every vertex in a graph?

The time it takes to compute the out-degree of every vertex in a graph depends on the size of the graph and the algorithm used. In general, the time complexity is O(V E), where V is the number of vertices and E is the number of edges in the graph.


How can you eulerize a graph to ensure that every vertex has an even degree?

To eulerize a graph and ensure that every vertex has an even degree, you can add new edges to the graph without creating any new vertices. This can be done by finding and adding paths between pairs of odd-degree vertices until all vertices have an even degree.


Find any Hamiltonian circuit on the graph above. Give your answer as a list of vertices, starting and ending at the same vertex. Example: ABCA?

connecting the vertices in a graph so that the route traveled starts and ends at the same vertex.


What does tails for a graph stand for?

In graph theory, a tail is a path in a graph that starts at a vertex of degree one and does not visit any vertex more than once until reaching a vertex of higher degree. Tails are often used in describing the structure and properties of graphs.


What does a graph with six vertice and each vertex is of one degree look like?

Six points.


Which vertex in the graph does not have any weighting assigned to it?

The vertex that does not have any weighting assigned to it in the graph is called an unweighted vertex.


What is a cycle in graph theory?

If the graph start and end with same vertex and no other vertex can be repeated then it is called trivial graph.


How do you graph parabola given its vertex?

The vertex of a parabola doe not provide enough information to graph anything - other than the vertex!


What point on the graph could be the fourth vertex of the parallelogram?

the origin is the point in the graph that can be fourth vertex


What is the highest or lowest point on a graph called?

The vertex is the highest or lowest point on a graph.


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 .


What is a pendent vertex?

A vertex of a graph is said to be pendant if its neighborhood contains exactly one vertex.