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With this higher outdegree, the maximum number of hops a query can travel was lowered to 4.
A hub usually has a large outdegree.
In the case of directed graphs, either the indegree or outdegree might be used, depending on the application.
In computing, tree data structures, and game theory, the branching factor is the number of children at each node, the outdegree.
An ear would then be a directed path where all internal vertices have indegree and outdegree equal to 1.
A directed graph is a pseudoforest if and only if every vertex has outdegree at most 1.
The entry q equals the outdegree of i minus the number of loops at i.
Since D has in- and outdegree equal to k the resulting bigraph G' is k-regular.
An arithmetic formula is a circuit in which every gate has outdegree one (and so the underlying graph is a directed tree).
One may also compute in polynomial time an orientation of a graph that minimizes the outdegree but is not required to be acyclic.
A regular directed graph must also satisfy the stronger condition that the indegree and outdegree of each vertex are equal to each other.
In the case of a directed network (where ties have direction), we usually define two separate measures of degree centrality, namely indegree and outdegree.
Therefore, there exists a vertex of outdegree , which can be used as the central vertex for a copy of .
When ties are associated to some positive aspects such as friendship or collaboration, indegree is often interpreted as a form of popularity, and outdegree as gregariousness.
On the positive side, the problem is solvable in time on digraphs of maximum outdegree at most 2, and in time on general digraphs.
Computing the cycle rank is computationally hard: proves that the corresponding decision problem is NP-complete, even for sparse digraphs of maximum outdegree at most 2.
Given pairs of nonnegative integers , the problem asks whether there is a labeled simple directed graph such that each vertex has indegree and outdegree .
The indegree of v is denoted deg(v) and its outdegree is denoted deg(v).
A directed pseudoforest is a directed graph in which each vertex has at most one outgoing edge; that is, it has outdegree at most one.
However, in every tournament of vertices, the average outdegree is , and the maximum outdegree is an integer greater than or equal to the average.
Since outgoing pointers must be labeled by distinct symbols of the alphabet, both KUM and SMM graphs have O(1) outdegree.
Accordingly, indegree is a count of the number of ties directed to the node and outdegree is the number of ties that the node directs to others.
For, in this tournament, every vertex has indegree and outdegree equal to , while the central vertex in has larger outdegree .
If a graph G is oriented acyclically with outdegree k, then its edges may be partitioned into k forests by choosing one forest for each outgoing edge of each node.
In 1736, Euler showed that G has an Eulerian circuit if and only if G is connected and the indegree is equal to outdegree at every vertex.